Pub Date : 2024-12-30DOI: 10.1088/1361-6382/ad9fcd
Naoki Sato
This paper explores the quantum-fluid correspondence in a charged relativistic fluid with intrinsic spin. We begin by examining the nonrelativistic case, showing that the inclusion of spin introduces a quantum correction to the classical fluid energy. This correction, coupled with Maxwell’s equations, naturally leads to the Schrödinger equation in Madelung form. Building on this foundation, we extend the formalism to a relativistic perfect fluid, identifying the system’s stress-energy-momentum tensor. Our analysis reveals that the trace of the quantum correction to this tensor corresponds to the energy density of an oscillator, with its frequency determined by the vorticity of the spin motion. We then use the stress-energy-momentum tensor to establish the relationship between the Ricci scalar curvature, as dictated by the Einstein field equations, and the fluid density in a static, spherically symmetric configuration. Lastly, we generalize the Madelung transformation to compressible Navier–Stokes flows with vorticity and viscosity by developing a tailored Clebsch representation of the velocity field. This theoretical framework offers potential applications for studying fluid-like systems with internal rotational degrees of freedom, commonly encountered in astrophysical settings.
{"title":"Quantum-fluid correspondence in relativistic fluids with spin: from Madelung form to gravitational coupling","authors":"Naoki Sato","doi":"10.1088/1361-6382/ad9fcd","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9fcd","url":null,"abstract":"This paper explores the quantum-fluid correspondence in a charged relativistic fluid with intrinsic spin. We begin by examining the nonrelativistic case, showing that the inclusion of spin introduces a quantum correction to the classical fluid energy. This correction, coupled with Maxwell’s equations, naturally leads to the Schrödinger equation in Madelung form. Building on this foundation, we extend the formalism to a relativistic perfect fluid, identifying the system’s stress-energy-momentum tensor. Our analysis reveals that the trace of the quantum correction to this tensor corresponds to the energy density of an oscillator, with its frequency determined by the vorticity of the spin motion. We then use the stress-energy-momentum tensor to establish the relationship between the Ricci scalar curvature, as dictated by the Einstein field equations, and the fluid density in a static, spherically symmetric configuration. Lastly, we generalize the Madelung transformation to compressible Navier–Stokes flows with vorticity and viscosity by developing a tailored Clebsch representation of the velocity field. This theoretical framework offers potential applications for studying fluid-like systems with internal rotational degrees of freedom, commonly encountered in astrophysical settings.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"41 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142901832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-30DOI: 10.1088/1361-6382/ad9f14
Xu Ye and Shao-Wen Wei
The topological approach has recently been successfully employed to investigate timelike circular orbits (TCOs) for massive neutral test particles. The observed vanishing topological number implies that these TCOs occur in pairs. However, the behavior of charged test particles in this regard remains unexplored. To address this issue, our study focuses on examining the influence of particle charge on the topology of TCOs within a spherically symmetrical black hole spacetime holding a nonvanishing radial electric field. We consider four distinct cases based on the charges of the particle and the black hole: unlike strong charge, unlike weak charge, like weak charge, and like strong charge. For each case, we calculate the corresponding topological number. Our results reveal that when the charge is large enough, the topological number takes a value of -1 instead of 0, which differs from the neutral particle scenario. Consequently, in cases of small charges, the TCOs appear in pairs, whereas in cases of larger charges, an additional unstable TCO emerges. These findings shed light on the influence of the particle charge on the topological properties and number of TCOs.
{"title":"Novel topological phenomena of timelike circular orbits for charged test particles","authors":"Xu Ye and Shao-Wen Wei","doi":"10.1088/1361-6382/ad9f14","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9f14","url":null,"abstract":"The topological approach has recently been successfully employed to investigate timelike circular orbits (TCOs) for massive neutral test particles. The observed vanishing topological number implies that these TCOs occur in pairs. However, the behavior of charged test particles in this regard remains unexplored. To address this issue, our study focuses on examining the influence of particle charge on the topology of TCOs within a spherically symmetrical black hole spacetime holding a nonvanishing radial electric field. We consider four distinct cases based on the charges of the particle and the black hole: unlike strong charge, unlike weak charge, like weak charge, and like strong charge. For each case, we calculate the corresponding topological number. Our results reveal that when the charge is large enough, the topological number takes a value of -1 instead of 0, which differs from the neutral particle scenario. Consequently, in cases of small charges, the TCOs appear in pairs, whereas in cases of larger charges, an additional unstable TCO emerges. These findings shed light on the influence of the particle charge on the topological properties and number of TCOs.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"327 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142901834","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-30DOI: 10.1088/1361-6382/ad9fcc
H García-Compeán, J Hernández-Aguilar, D Mata-Pacheco and C Ramírez
We present a study of the vacuum transition probabilities taking into account quantum corrections. We first introduce a general method that expands previous works employing the Lorentzian formalism of the Wheeler–De Witt equation by considering higher order terms in the semiclassical expansion. The method presented is applicable in principle to any model in the minisuperspace and up to any desired order in the quantum correction terms. Then, we apply this method to obtain analytical solutions for the probabilities up to second quantum corrections for homogeneous isotropic and anisotropic universes. We use the Friedmann–Lemaitre–Robertson–Walker metric with positive and zero curvature for the isotropic case and the Bianchi III and Kantowski–Sachs metrics for the anisotropic case. Interpreting the results as distribution probabilities of creating universes by vacuum decay with a given size, we found that the general behaviour is that considering up to the second quantum correction leads to an avoidance of the initial singularity. However, we show that this result can only be achieved for the isotropic Universe. Furthermore, we also study the effect of anisotropy on the transition probabilities.
{"title":"Effects of quantum corrections to Lorentzian vacuum transitions in the presence of gravity","authors":"H García-Compeán, J Hernández-Aguilar, D Mata-Pacheco and C Ramírez","doi":"10.1088/1361-6382/ad9fcc","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9fcc","url":null,"abstract":"We present a study of the vacuum transition probabilities taking into account quantum corrections. We first introduce a general method that expands previous works employing the Lorentzian formalism of the Wheeler–De Witt equation by considering higher order terms in the semiclassical expansion. The method presented is applicable in principle to any model in the minisuperspace and up to any desired order in the quantum correction terms. Then, we apply this method to obtain analytical solutions for the probabilities up to second quantum corrections for homogeneous isotropic and anisotropic universes. We use the Friedmann–Lemaitre–Robertson–Walker metric with positive and zero curvature for the isotropic case and the Bianchi III and Kantowski–Sachs metrics for the anisotropic case. Interpreting the results as distribution probabilities of creating universes by vacuum decay with a given size, we found that the general behaviour is that considering up to the second quantum correction leads to an avoidance of the initial singularity. However, we show that this result can only be achieved for the isotropic Universe. Furthermore, we also study the effect of anisotropy on the transition probabilities.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"15 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142901835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-30DOI: 10.1088/1361-6382/ad9f18
Anirban Chatterjee, Akshay Panda and Abhijit Bandyopadhyay
We investigate two classes of non-minimally coupled curvature-matter models in the FLRW Universe with a perfect fluid and analyze their cosmological implications using Supernova Ia, observed Hubble data, and baryon acoustic oscillation measurements. Non-minimal coupling is introduced via an additional term in the Einstein–Hilbert action. To obtain observational constraints, we use an exponential-type fluid-pressure profile characterized by the dimensionless parameter k and parameterize as Rn with another dimensionless parameter n. Two additional parameters, α and β in the functional form of determine the coupling strength. We identify significant regions in the (n, k)-parameter space for fixed coupling strength values where non-minimally coupled models align with observed late-time cosmic evolution. Additionally, we explore and discuss features of energy transfer between the curvature and matter sectors using observational data.
{"title":"Observational constraints on generic models of non-minimal curvature-matter coupling","authors":"Anirban Chatterjee, Akshay Panda and Abhijit Bandyopadhyay","doi":"10.1088/1361-6382/ad9f18","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9f18","url":null,"abstract":"We investigate two classes of non-minimally coupled curvature-matter models in the FLRW Universe with a perfect fluid and analyze their cosmological implications using Supernova Ia, observed Hubble data, and baryon acoustic oscillation measurements. Non-minimal coupling is introduced via an additional term in the Einstein–Hilbert action. To obtain observational constraints, we use an exponential-type fluid-pressure profile characterized by the dimensionless parameter k and parameterize as Rn with another dimensionless parameter n. Two additional parameters, α and β in the functional form of determine the coupling strength. We identify significant regions in the (n, k)-parameter space for fixed coupling strength values where non-minimally coupled models align with observed late-time cosmic evolution. Additionally, we explore and discuss features of energy transfer between the curvature and matter sectors using observational data.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"14 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142901831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-27DOI: 10.1088/1361-6382/ad9c12
Robert Dickinson, Jeff Forshaw, Ross Jenkinson and Peter Millington
We revisit the Unruh effect within a general framework based on direct, probability-level calculations. We rederive the transition rate of a uniformly accelerating Unruh–DeWitt monopole detector coupled to a massive scalar field, from both the perspective of an inertial (Minkowski) observer and an accelerating (Rindler) observer. We show that, for a measurement at a finite time after the initial state is prepared, the two perspectives give the same transition rate. We confirm that an inertial detector in a thermal bath of Minkowski particles responds differently to the accelerated detector (which perceives a thermal bath of Rindler particles), except in the case of a massless field where there is agreement at all times. Finally, new numerical results for the transition rate are presented and explained, highlighting the transient effects caused by forcing the field to initially be in the Minkowski vacuum state.
{"title":"A new study of the Unruh effect","authors":"Robert Dickinson, Jeff Forshaw, Ross Jenkinson and Peter Millington","doi":"10.1088/1361-6382/ad9c12","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9c12","url":null,"abstract":"We revisit the Unruh effect within a general framework based on direct, probability-level calculations. We rederive the transition rate of a uniformly accelerating Unruh–DeWitt monopole detector coupled to a massive scalar field, from both the perspective of an inertial (Minkowski) observer and an accelerating (Rindler) observer. We show that, for a measurement at a finite time after the initial state is prepared, the two perspectives give the same transition rate. We confirm that an inertial detector in a thermal bath of Minkowski particles responds differently to the accelerated detector (which perceives a thermal bath of Rindler particles), except in the case of a massless field where there is agreement at all times. Finally, new numerical results for the transition rate are presented and explained, highlighting the transient effects caused by forcing the field to initially be in the Minkowski vacuum state.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"145 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142887983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-27DOI: 10.1088/1361-6382/ad9e65
Abhijit Chakraborty, Carlos R Ordóñez and Gustavo Valdivia-Mera
In this article, we adopt the framework developed by Laflamme (1989 Physica A 158 58–63) to analyze the path integral of a massless—conformally invariant—scalar field defined on a causal diamond (CD) of size 2α in 1+1 dimensions. By examining the Euclidean geometry of the CD, we establish that its structure is conformally related to the cylinder , where the Euclidean time coordinate τ has a periodicity of β. This property, along with the conformal symmetry of the fields, allows us to identify the connection between the thermofield double (TFD) state of CDs and the Euclidean path integral defined on the two disconnected manifolds of the cylinder. Furthermore, we demonstrate that the temperature of the TFD state, derived from the conditions in the Euclidean geometry and analytically calculated, coincides with the temperature of the CD known in the literature. This derivation highlights the universality of the connection between the Euclidean path integral formalism and the TFD state of the CD, as well as it further establishes CDs as a model that exhibits all desired properties of a system exhibiting the Unruh effect.
{"title":"Path integral derivation of the thermofield double state in causal diamonds","authors":"Abhijit Chakraborty, Carlos R Ordóñez and Gustavo Valdivia-Mera","doi":"10.1088/1361-6382/ad9e65","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9e65","url":null,"abstract":"In this article, we adopt the framework developed by Laflamme (1989 Physica A 158 58–63) to analyze the path integral of a massless—conformally invariant—scalar field defined on a causal diamond (CD) of size 2α in 1+1 dimensions. By examining the Euclidean geometry of the CD, we establish that its structure is conformally related to the cylinder , where the Euclidean time coordinate τ has a periodicity of β. This property, along with the conformal symmetry of the fields, allows us to identify the connection between the thermofield double (TFD) state of CDs and the Euclidean path integral defined on the two disconnected manifolds of the cylinder. Furthermore, we demonstrate that the temperature of the TFD state, derived from the conditions in the Euclidean geometry and analytically calculated, coincides with the temperature of the CD known in the literature. This derivation highlights the universality of the connection between the Euclidean path integral formalism and the TFD state of the CD, as well as it further establishes CDs as a model that exhibits all desired properties of a system exhibiting the Unruh effect.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"72 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142888060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-27DOI: 10.1088/1361-6382/ad9c11
Jay V Kalinani, Liwei Ji, Lorenzo Ennoggi, Federico G Lopez Armengol, Lucas Timotheo Sanches, Bing-Jyun Tsao, Steven R Brandt, Manuela Campanelli, Riccardo Ciolfi, Bruno Giacomazzo, Roland Haas, Erik Schnetter and Yosef Zlochower
We present AsterX, a novel open-source, modular, GPU-accelerated, fully general relativistic magnetohydrodynamic (GRMHD) code designed for dynamic spacetimes in 3D Cartesian coordinates, and tailored for exascale computing. We utilize block-structured adaptive mesh refinement (AMR) through CarpetX, the new driver for the Einstein Toolkit, which is built on AMReX, a software framework for massively parallel applications. AsterX employs the Valencia formulation for GRMHD, coupled with the ‘Z4c’ formalism for spacetime evolution, while incorporating high resolution shock capturing schemes to accurately handle the hydrodynamics. AsterX has undergone rigorous testing in both static and dynamic spacetime, demonstrating remarkable accuracy and agreement with other codes in literature. Using subcycling in time, we find an overall performance gain of factor 2.5–4.5. Benchmarking the code through scaling tests on OLCF’s Frontier supercomputer, we demonstrate a weak scaling efficiency of about 67%–77% on 4096 nodes compared to an 8-node performance.
{"title":"AsterX: a new open-source GPU-accelerated GRMHD code for dynamical spacetimes","authors":"Jay V Kalinani, Liwei Ji, Lorenzo Ennoggi, Federico G Lopez Armengol, Lucas Timotheo Sanches, Bing-Jyun Tsao, Steven R Brandt, Manuela Campanelli, Riccardo Ciolfi, Bruno Giacomazzo, Roland Haas, Erik Schnetter and Yosef Zlochower","doi":"10.1088/1361-6382/ad9c11","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9c11","url":null,"abstract":"We present AsterX, a novel open-source, modular, GPU-accelerated, fully general relativistic magnetohydrodynamic (GRMHD) code designed for dynamic spacetimes in 3D Cartesian coordinates, and tailored for exascale computing. We utilize block-structured adaptive mesh refinement (AMR) through CarpetX, the new driver for the Einstein Toolkit, which is built on AMReX, a software framework for massively parallel applications. AsterX employs the Valencia formulation for GRMHD, coupled with the ‘Z4c’ formalism for spacetime evolution, while incorporating high resolution shock capturing schemes to accurately handle the hydrodynamics. AsterX has undergone rigorous testing in both static and dynamic spacetime, demonstrating remarkable accuracy and agreement with other codes in literature. Using subcycling in time, we find an overall performance gain of factor 2.5–4.5. Benchmarking the code through scaling tests on OLCF’s Frontier supercomputer, we demonstrate a weak scaling efficiency of about 67%–77% on 4096 nodes compared to an 8-node performance.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"129 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142887981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-27DOI: 10.1088/1361-6382/ad9ce0
Jing Zhou, Pan-Pan Wang and Cheng-Gang Shao
Gravitational waves (GWs) have six possible polarization modes, and whose successful detection can effectively test the gravitational properties under the strong field theory and help distinguish between different theories of gravity. Space-based GW detectors can respond differently to different polarization modes and can be used to measure the polarization states of GWs. However, during the detection process, multiple noises can swamp the faint GW signals, thus, it is essential to develop highly sophisticated experimental techniques and data processing methods to suppress the noises. For the most dominant laser frequency noise, time-delay interferometry technique is employed to construct a virtual equal-arm interferometer by performing appropriate time-delay and linear combination of data streams. This ensures the laser frequency noise is suppressed below the noise floor composed of test-mass noise and shot noise. To present the responsiveness of the detector to the polarization modes of GW signals and to clarify the corresponding characteristic regularities. In this paper, we calculate and analyze the sensitivity functions of 45 core geometric time-delay interferometry technique (TDI) combinations under the six polarization modes allowed by the metric gravity theory. The analysis is based on arbitrary second-generation TDI that can be independently linearly expanded by first-generation generators. It turns out that the sensitivity functions of 45 TDI combinations in different polarization modes are classified into exactly the same 11 categories, and there are obvious characteristic patterns in the asymptotic behavior of these sensitivity functions. These results can help to measure the GW polarization states, understand the nature of fields beyond the gravitational field, and provide some support for distinguishing gravitational theories. In addition, the sensitivity functions of multi-type TDI combinations can be applied to the parameter estimation to improve the localization accuracy of all-sky GW sources.
{"title":"Sensitivity functions of space-borne gravitational wave detectors under the metric gravity theory","authors":"Jing Zhou, Pan-Pan Wang and Cheng-Gang Shao","doi":"10.1088/1361-6382/ad9ce0","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9ce0","url":null,"abstract":"Gravitational waves (GWs) have six possible polarization modes, and whose successful detection can effectively test the gravitational properties under the strong field theory and help distinguish between different theories of gravity. Space-based GW detectors can respond differently to different polarization modes and can be used to measure the polarization states of GWs. However, during the detection process, multiple noises can swamp the faint GW signals, thus, it is essential to develop highly sophisticated experimental techniques and data processing methods to suppress the noises. For the most dominant laser frequency noise, time-delay interferometry technique is employed to construct a virtual equal-arm interferometer by performing appropriate time-delay and linear combination of data streams. This ensures the laser frequency noise is suppressed below the noise floor composed of test-mass noise and shot noise. To present the responsiveness of the detector to the polarization modes of GW signals and to clarify the corresponding characteristic regularities. In this paper, we calculate and analyze the sensitivity functions of 45 core geometric time-delay interferometry technique (TDI) combinations under the six polarization modes allowed by the metric gravity theory. The analysis is based on arbitrary second-generation TDI that can be independently linearly expanded by first-generation generators. It turns out that the sensitivity functions of 45 TDI combinations in different polarization modes are classified into exactly the same 11 categories, and there are obvious characteristic patterns in the asymptotic behavior of these sensitivity functions. These results can help to measure the GW polarization states, understand the nature of fields beyond the gravitational field, and provide some support for distinguishing gravitational theories. In addition, the sensitivity functions of multi-type TDI combinations can be applied to the parameter estimation to improve the localization accuracy of all-sky GW sources.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"4 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142888920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-24DOI: 10.1088/1361-6382/ad9ce1
Daniel Molano and Pedro Bargueño
In the realm of general relativity (GR) and extended theories of gravity, obtaining solutions for scenarios of physical interest is a highly intricate challenge. By employing the formalism of mathematical perturbation theory within the GR framework, we demonstrate that, for a significant class of vacuum theories, the corresponding solutions do not yield additional effects beyond those predicted by GR’s perturbation theory. However, models characterized by terms of the form exhibit distinctive contributions not present in GR. We assert that fundamental limitations exist, explaining why solutions of certain models can deviate from their GR counterparts, indicating non-connected solutions or non-analytic behavior. Conversely, in the models , the solutions seamlessly connect with those of GR. This distinction highlights the nuanced interplay between higher-order curvature terms and their impact on gravitational dynamics, offering new insights into the landscape of modified gravity theories.
{"title":"Exploring perturbative constraints in higher-order curvature gravity theories","authors":"Daniel Molano and Pedro Bargueño","doi":"10.1088/1361-6382/ad9ce1","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9ce1","url":null,"abstract":"In the realm of general relativity (GR) and extended theories of gravity, obtaining solutions for scenarios of physical interest is a highly intricate challenge. By employing the formalism of mathematical perturbation theory within the GR framework, we demonstrate that, for a significant class of vacuum theories, the corresponding solutions do not yield additional effects beyond those predicted by GR’s perturbation theory. However, models characterized by terms of the form exhibit distinctive contributions not present in GR. We assert that fundamental limitations exist, explaining why solutions of certain models can deviate from their GR counterparts, indicating non-connected solutions or non-analytic behavior. Conversely, in the models , the solutions seamlessly connect with those of GR. This distinction highlights the nuanced interplay between higher-order curvature terms and their impact on gravitational dynamics, offering new insights into the landscape of modified gravity theories.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"32 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142879727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-24DOI: 10.1088/1361-6382/ad9c0c
Jia-Rui Li, Yu-Jie Tan, Tao Jin, Wei-Sheng Huang, Hao Huang, Cheng-Gang Qin and Cheng-Gang Shao
Local Lorentz invariance is an important foundation of General Relativity, and its high-precision testing can help to explore the unified theories. In this work, we focus on the local Lorentz violating effect in pure gravity with mass dimension d = 6, and study the experimental design for testing local Lorentz violation with precision torsion pendulum experiments. By designing the striped test and source masses, and setting the appropriate azimuth angles of the experimental setup, we found the constraint accuracy of the local Lorentz violation coefficients is expected to be improved by one to two orders of magnitude compared with the international optimal level. Moreover, considering the difficulty level of changing the azimuth angle of the experimental setup in practical experiments, we proposed two experimental strategies and separately studied the azimuth-angle configurations corresponding to the optimal constraint of the local Lorentz violating coefficients, which can guide the development of the later experiments.
{"title":"Experimental design for testing local Lorentz invariance violation in gravity","authors":"Jia-Rui Li, Yu-Jie Tan, Tao Jin, Wei-Sheng Huang, Hao Huang, Cheng-Gang Qin and Cheng-Gang Shao","doi":"10.1088/1361-6382/ad9c0c","DOIUrl":"https://doi.org/10.1088/1361-6382/ad9c0c","url":null,"abstract":"Local Lorentz invariance is an important foundation of General Relativity, and its high-precision testing can help to explore the unified theories. In this work, we focus on the local Lorentz violating effect in pure gravity with mass dimension d = 6, and study the experimental design for testing local Lorentz violation with precision torsion pendulum experiments. By designing the striped test and source masses, and setting the appropriate azimuth angles of the experimental setup, we found the constraint accuracy of the local Lorentz violation coefficients is expected to be improved by one to two orders of magnitude compared with the international optimal level. Moreover, considering the difficulty level of changing the azimuth angle of the experimental setup in practical experiments, we proposed two experimental strategies and separately studied the azimuth-angle configurations corresponding to the optimal constraint of the local Lorentz violating coefficients, which can guide the development of the later experiments.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"14 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142879725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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