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Twistor initial data characterisation of pp-waves pp波的Twistor初始数据表征
Pub Date : 2024-04-05 DOI: 10.1088/1361-6382/ad3b5e
E. Gasperín, Francisco Pais
This note gives a concise derivation of a twistor-initial-data characterisation of pp-wave spacetimes in vacuum. The construction is based on a similar calculation for the Minkowski spacetime in [Class. Quantum Grav. 28 075010]. The key difference is that for the Minkowski spacetime a necessary condition is that $nabla_{A}{}^{A'}bar{kappa}_{A'} neq 0$. In this note it is shown that if $nabla_{A}{}^{A'}bar{kappa}_{A'}=0$ then the development is a pp-wave spacetime. Furthermore, it is shown that such condition propagates off the initial hypersurface, which, in turn, gives a emph{twistor initial data characterisation of pp-waves}.
本论文简明地推导了真空中pp波时空的扭子初始数据特征。其构造基于[Class. Quantum Grav.]关键区别在于,对于闵科夫斯基时空,一个必要条件是 $nabla_{A}{}^{A'}bar{kappa}_{A'} 。neq 0$.在本论文中,我们将证明如果 $nabla_{A}{}^{A'}bar{kappa}_{A'}=0$ 那么发展的是一个 pp 波时空。此外,我们还证明了这样的条件会从初始超表面传播出去,这反过来又给出了pp波的emph{twistor initial data characterisation of pp-waves}。
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引用次数: 0
Anisotropic compact star in linear f(Q)-action 线性 f(Q)作用下的各向异性紧凑星体
Pub Date : 2024-04-05 DOI: 10.1088/1361-6382/ad3b5f
S. Maurya, Abdelghani Errehymy, G. Vîlcu, H. Alrebdi, K. S. Nisar, A. Abdel‐Aty
In this paper, a significant leap forward in understanding compact stellar systems and the modified $f(Q)$ gravity theory is achieved. The pivotal discovery lies in the successful derivation of an exact solution that fulfills the static geometry and spherical symmetry criteria, permitting the studying of compact stellar configurations with an anisotropic fluid. The model is rigorously tested and satisfies the vital physical conditions within the stellar fluid, guaranteeing its viability. The equi-mass contours highlight an impressive correlation between the $f(Q)$ gravity parameters. Boosting $alpha$ while keeping $beta$ fixed and concurrently boosting $R$ leads to a significant global boost in mass distribution. This can be ascribed to the enhanced coupling arising from a higher $alpha$, which broadens the mass distribution. In addition, the larger object size arising from the rise in $R$ allows for more mass accommodation. Therefore, raising both $R$ and $alpha$ leads to an exaggerated mass distribution, proving the combined influence of coupling strength and object size on total mass. Altogether, this investigation advances our knowledge of compact stellar systems and supports the evolution of the modified $f(Q)$ theory of gravity, opening the way for more breakthroughs in this field.
本文在理解紧凑恒星系统和修正的 $f(Q)$ 引力理论方面实现了重大飞跃。该发现的关键在于成功推导出了满足静态几何和球面对称标准的精确解,从而可以研究具有各向异性流体的紧凑恒星构型。该模型经过严格测试,满足恒星流体内部的重要物理条件,保证了其可行性。等质量等值线凸显了 $f(Q)$ 重力参数之间令人印象深刻的相关性。在保持$beta$固定的同时提高$alpha$并同时提高$R$会导致质量分布的全面提升。这可以归因于更高的 $alpha$ 带来的耦合增强,从而扩大了质量分布。此外,由于 $R$ 的升高,天体体积增大,从而可以容纳更多的质量。因此,同时提高 $R$ 和 $alpha$ 会导致夸张的质量分布,这证明了耦合强度和物体大小对总质量的共同影响。总之,这项研究推进了我们对紧凑恒星系统的认识,支持了修正的$f(Q)$引力理论的演化,为这一领域的更多突破开辟了道路。
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引用次数: 0
Schwinger correlation of Dirac fields in accelerated frames 加速帧中狄拉克场的施文格相关性
Pub Date : 2024-04-04 DOI: 10.1088/1361-6382/ad3ac8
Hao-Sheng Zeng, Heng Liu, Lian-Jie Wu
We study the Schwinger correlation of Dirac fields in the noninertial frames under the influences of both constant and pulsed electric fields. We use both the entanglement negativity and quantum mutual information between particle and antiparticle as the indicator of the Schwinger correlation observed by the accelerated observers. We find that the Schwinger correlation in the inertial frames is the largest. With the increase of acceleration of the observers, the Schwinger correlation becomes smaller and smaller, but does not vanish in the limit of infinite acceleration. For the given acceleration, the Schwinger correlation is a nonmonotonic function of the electric field intensity, and there is an optimal value of electric field intensity for which the Schwinger correlation is the largest. In the case of pulsed electric fields, the Schwinger correlation is also the nonmonotonic function of pulsed width, which suggests the existence of optimal pulsed width for observing Schwinger correlation.
我们研究了在恒定电场和脉冲电场的影响下,非惯性框架中狄拉克场的施温格相关性。我们使用粒子与反粒子之间的纠缠负性和量子互信息作为加速观察者观测到的施温格相关性的指标。我们发现,惯性框架中的施温格相关性最大。随着观测者加速度的增加,施温格相关性越来越小,但在无限加速度的极限下并没有消失。对于给定的加速度,施温格相关性是电场强度的非单调函数,存在一个施温格相关性最大的最佳电场强度值。在脉冲电场的情况下,施温格相关性也是脉冲宽度的非单调函数,这表明存在观测施温格相关性的最佳脉冲宽度。
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引用次数: 0
Gravitational waves with dark matter minispikes: Fourier-domain waveforms of eccentric intermediate-mass-ratio-inspirals 带有暗物质小尖峰的引力波:偏心中等质量比螺旋的傅立叶域波形
Pub Date : 2024-03-28 DOI: 10.1088/1361-6382/ad38fb
Xiao-Jun Yue, Zhoujian Cao
An intermediate mass black hole (IMBH) may have a dark matter (DM) minihalo around it and develop a spiky structure called DM minispike. Gravitational waves (GWs) can be produced if a stellar compact object, such as a black hole (BH) or neutron star, inspirals into the IMBH. This kind of systems are known as itermediate-mass-ratio-inspirals (IMRIs) and may be observed by space-based gravitational wave detectors including LISA, Taiji and Tianqin. In this paper, we lay the foundations for the construction of analytic expressions for Fourier-domain gravitational waves produced by eccentric IMRIs with DM minispikes in a post-circular or small-eccentricity approximation (e < 0.4). We take the effect of dynamical friction from the DM as a perturbation, and decompose the dynamical equations into perturbed part and unperturbed part. The equations are solved in a series expansion form about zero initial eccentricity to eighth order. The time-dependent, “plus” and “cross” polarizations are expanded in Bessel functions, which are then self-consistently reexpanded in a power series about zero initial eccentricity. The stationary-phase approximation is then employed to obtain the explicit DM-modified analytic expressions for the Fourier transform of the post-circular expanded, time-domain signal. We exemplify this framework by considering a typical IMRI with a DM minispike and find the GW detectability strongly depends on the radial profile of the DM distribution. When the density of DM is large enough, the signal to noise ratio (SNR) will be degraded significantly and a detection loss may occur if we use a template without the effect of DM to treat a signal including the DM effect. With the Fourier-domain gravitational waveforms we also estimate the accuracy of the measurement of the DM minispike parameters in our reference model. Our framework hold the promise to construct a “ready-to-use” Fourier-domain waveforms for data analysis of eccentric IMRIs with DM minispikes.
一个中等质量黑洞(IMBH)的周围可能有一个暗物质(DM)小光环,并形成一个被称为DM小穗的尖状结构。如果黑洞(BH)或中子星等恒星紧凑天体吸入IMBH,就会产生引力波(GWs)。这类系统被称为中等质量比吸气系统(IMRIs),可以被包括 LISA、太极和天琴在内的天基引力波探测器观测到。在本文中,我们将为构建傅里叶域引力波的解析表达式打下基础,这些引力波是由偏心IMRI产生的,并带有后圆或小圆心近似(e < 0.4)的DM小尖峰。我们将DM的动力摩擦影响视为扰动,并将动力学方程分解为扰动部分和非扰动部分。这些方程以关于零初始偏心率的八阶串联展开形式求解。与时间相关的 "正 "极化和 "交 "极化在贝塞尔函数中展开,然后以关于零初始偏心率的幂级数自洽地重新展开。然后,利用静止相位近似法,就可以得到时域信号的傅里叶变换的明确 DM 调制解析表达式。我们通过考虑带有 DM 小钉的典型 IMRI 来举例说明这一框架,并发现全球变暖的可探测性在很大程度上取决于 DM 分布的径向范围。当DM的密度足够大时,信噪比(SNR)将显著下降,如果我们使用一个没有DM效应的模板来处理一个包含DM效应的信号,可能会出现探测损失。通过傅里叶域引力波形,我们还估算了参考模型中DM小尖峰参数的测量精度。我们的框架有望构建 "即用型 "傅立叶域波形,用于偏心IMRI与DM小尖峰的数据分析。
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引用次数: 0
The evaluation for plasma noise in arbitrary time-delay interferometry combinations 任意时延干涉测量组合中的等离子体噪声评估
Pub Date : 2024-03-27 DOI: 10.1088/1361-6382/ad387c
Xin-Lei Zhao, Panpan Wang, Cheng-Gang Shao
The Laser Interferometer Space Antenna (LISA) uses laser interferometry to measure gravitational wave-induced distance changes between freely falling test masses on separate spacecraft. In practice, the space-borne gravitational wave detector operates in a plasma medium, and subsequently, the variations in electron density affect the refractive index and add displacement noise to measurements. Geometric time-delay interferometry (TDI) is the TDI combinations searched by geometric method, which is employed to mitigate overwhelming laser phase noise. This study explores all forty-five second-generation geometric TDI combinations up to sixteen links, analyzing plasma noise effects via power spectral density (PSD) and cross-spectral density (CSD) calculations for different optical links. Our findings reveal that plasma noise can exceed the noise floor, which comprises optical metrology system (OMS) and test mass (TM) acceleration noise, in certain low-frequency regions due to different noise transfer behaviors. Further, we establish electron density requirements for various TDI combinations, showing that densities below $100~text{cm}^{-3}/sqrt{text{Hz}}~@~10~text{mHz}$ satisfy LISA's criteria across all forty-five combinations. This allows for optimized TDI selection based on specific plasma densities.
激光干涉仪空间天线(LISA)利用激光干涉测量法测量在不同航天器上自由下落的测试质量之间由引力波引起的距离变化。实际上,空间引力波探测器是在等离子体介质中工作的,因此电子密度的变化会影响折射率,并在测量中增加位移噪声。几何时延干涉测量法(TDI)是通过几何方法搜索的 TDI 组合,用于减轻激光相位噪声的影响。本研究探讨了多达 16 个链路的所有 45 种第二代几何 TDI 组合,通过功率谱密度(PSD)和交叉谱密度(CSD)计算分析了不同光链路的等离子体噪声影响。我们的研究结果表明,由于噪声传递行为不同,等离子体噪声在某些低频区域可能会超过本底噪声,本底噪声包括光学计量系统(OMS)和测试质量(TM)加速度噪声。此外,我们还确定了各种 TDI 组合的电子密度要求,表明低于 $100~text{cm}^{-3}/sqrttext{Hz}}~@~10~text{mHz}$ 的密度满足 LISA 所有 45 种组合的标准。这样就可以根据特定的等离子体密度对 TDI 进行优化选择。
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引用次数: 0
Emergent modified gravity 新出现的改良重力
Pub Date : 2024-03-21 DOI: 10.1088/1361-6382/ad36a8
M. Bojowald, Erick Ivan Duque Gonzalez
A complete canonical formulation of general covariance makes it possible to construct new modified theories of gravity that are not of higher-curvature form, as shown here in a spherically symmetric setting. The usual uniqueness theorems are evaded by using a crucial and novel ingredient, allowing for fundamental fields of gravity distinct from an emergent space-time metric that provides a geometrical structure to all solutions. As specific examples, there are new expansion-shear couplings in cosmological models, a form of modified Newtonian dynamics (MOND) can appear in a space-time covariant theory without introducing extra fields, and related effects help to make effective models of canonical quantum gravity fully consistent with general covariance.
广义协方差的完整规范表述使我们有可能构建新的修正引力理论,这些理论不属于高曲率形式,正如本文在球对称环境中所展示的那样。通过使用一个关键而新颖的成分,避开了通常的唯一性定理,使引力的基本场有别于为所有解提供几何结构的新兴时空度量。具体例子包括:宇宙学模型中出现了新的膨胀剪切耦合;一种修正牛顿动力学(MOND)可以出现在时空协变理论中,而无需引入额外的场;相关效应有助于使经典量子引力的有效模型与广义协变完全一致。
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引用次数: 0
Black holes, conformal symmetry, and fundamental fields 黑洞、共形对称和基本场
Pub Date : 2024-03-19 DOI: 10.1088/1361-6382/ad3081
Jos'e Navarro-Salas
Cosmic censorship protects the outside world from black hole singularities and paves the way for assigning entropy to gravity at the event horizons. We point out a tension between cosmic censorship and the quantum backreacted geometry of Schwarzschild black holes, induced by vacuum polarization and driven by the conformal anomaly. A similar tension appears for the Weyl curvature hypothesis at the Big Bang singularity. We argue that the requirement of exact conformal symmetry resolves both conflicts and has major implications for constraining the set of fundamental constituents of the Standard Model.
宇宙审查保护了外部世界免受黑洞奇点的影响,并为在事件视界处赋予引力熵铺平了道路。我们指出了宇宙审查与施瓦兹柴尔德黑洞的量子反作用几何之间的矛盾,这种矛盾是由真空极化和共形反常引起的。大爆炸奇点处的韦尔曲率假说也存在类似的矛盾。我们认为,精确共形对称的要求解决了这两个矛盾,并对约束标准模型的基本成分集具有重大意义。
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引用次数: 0
Non-stoichiometric Silicon Nitride for Future Gravitational Wave Detectors 用于未来引力波探测器的非共沸物氮化硅
Pub Date : 2024-03-19 DOI: 10.1088/1361-6382/ad35a1
Gavin Wallace, M. Ben Yaala, simon tait, G. Vajente, Thomas McCanny, Caspar Clark, Des Gibson, J. Hough, Iain W Martin, Sheila Rowan, S. Reid
Silicon nitride thin films were deposited at room temperature employing a custom ion beam deposition (IBD) system. The stoichiometry of these films was tuned by controlling the nitrogen gas flow through the ion source and a process gas ring. A correlation is established between the process parameters, such as ion beam voltage and ion current, and the optical and mechanical properties of the films based on post-deposition heat treatment. The results show that with increasing heat treatment temperature, the mechanical loss of these materials as well as their optical absorption decreases producing films with an extinction coefficient as low as k = 6.2(±0.5)×10−7 at 1064nm for samples annealed at 900○C. This presents the lowest value for IBD SiNx within the context of gravitational wave detector applications. The mechanical loss of the films was measured to be ϕ = 2.1(±0.6) × 10−4 once annealed post deposition to 900○C.
采用定制离子束沉积(IBD)系统在室温下沉积氮化硅薄膜。通过控制离子源和工艺气体环中的氮气流量,对这些薄膜的化学计量进行了调整。离子束电压和离子电流等工艺参数与沉积后热处理薄膜的光学和机械性能之间建立了相关性。结果表明,随着热处理温度的升高,这些材料的机械损耗和光学吸收都会降低,在 900○C 退火的样品中,1064 纳米波长下的消光系数低至 k = 6.2(±0.5)×10-7 。这是引力波探测器应用中 IBD SiNx 的最低值。沉积后退火至 900 摄氏度时,薄膜的机械损耗测量值为 ϕ = 2.1(±0.6) × 10-4。
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引用次数: 0
Phenomenology of axionic static neutron stars with masses in the mass-gap region 质量处于质量隙区域的轴向静态中子星现象学
Pub Date : 2024-03-14 DOI: 10.1088/1361-6382/ad33cd
V. K. Oikonomou
In this work we consider an axionic scalar-tensor theory of gravity and its effects on static neutron stars. The axionic theory is considered in the regime in which the axion oscillates around its potential minimum, which cosmologically occurs post-inflationary, when the Hubble rate is of the same order as the axion mass. We construct the TOV equations for this axionic theory and for a spherically symmetric static spacetime and we solve these numerically using a quite robust double shooting LSODA based python integration method. Regarding the equations of state, we used nine mainstream and quite popular ones, namely, the WFF1, the SLy, the APR, the MS1, the AP3, the AP4, the ENG, the MPA1 and the MS1b, using the piecewise polytropic description for each. From the extracted data we calculate the Jordan frame masses and radii, and we confront the resulting phenomenology with five well-known neutron star constraints. As we demonstrate, the AP3, the ENG and the MPA1 equations of state yield phenomenologically viable results which are compatible with the constraints, with the MPA1 equation of state enjoying an elevated role among the three. The reason is that the MPA1 fits well the phenomenological constraints. A mentionable feature is the fact that all the viable phenomenologically equations of state produce maximum masses which are in the mass-gap region with Mmax > 2.5Mfi , but lower that the causal 3 solar masses limit. We also compare the neutron star phenomenology produced by the axionic scalar-tensor theory with the phenomenology produced by inflationary attractors scalar-tensor theories.
在这项研究中,我们考虑了引力的轴心标量张量理论及其对静态中子星的影响。该轴心理论是在轴心围绕其势能最小值振荡的情况下考虑的,从宇宙学角度看,轴心振荡发生在 "膨胀后",此时哈勃速率与轴心质量同阶。我们为这一轴心理论和球对称静态时空构建了TOV方程,并使用基于Python积分方法的相当稳健的双射LSODA对其进行数值求解。关于状态方程,我们使用了九种主流的、相当流行的状态方程,即 WFF1、SLy、APR、MS1、AP3、AP4、ENG、MPA1 和 MS1b,并对每种状态方程都使用了片断多回归描述。从提取的数据中,我们计算出了约旦框架的质量和半径,并将得出的现象学与五种著名的中子星约束进行了比较。正如我们所展示的,AP3、ENG 和 MPA1 状态方程都得出了与约束相一致的可行结果,而 MPA1 状态方程在三者中的地位更高。原因在于 MPA1 能很好地满足现象学约束条件。值得一提的是,所有可行的现象学状态方程产生的最大质量都处于质量差距区域,Mmax > 2.5Mfi,但低于因果3太阳质量的限制。我们还比较了轴心标量张量理论产生的中子星现象学和非膨胀吸引子标量张量理论产生的现象学。
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引用次数: 0
From minimal strings towards Jackiw-Teitelboim gravity: On their resurgence, resonance, and black holes 从最小弦到杰克维-特尔布依姆引力:关于它们的复活、共振和黑洞
Pub Date : 2024-03-12 DOI: 10.1088/1361-6382/ad32df
P. Gregori, R. Schiappa
Two remarkable facts about Jackiw-Teitelboim two-dimensional dilaton-gravity have been recently uncovered: this theory is dual to an ensemble of quantum mechanical theories; and such ensembles are described by a random matrix model which itself may be regarded as a special (large matter-central-charge) limit of minimal string theory. This work addresses this limit, putting it in its broader matrix-model context; comparing results between multicritical models and minimal strings (i.e., changing in-between multicritical and conformal backgrounds); and in both cases making the limit of large matter-central-charge precise (as such limit can also be defined for the multicritical series). These analyses are first done via spectral geometry, at both perturbative and nonperturbative levels, addressing the resurgent large-order growth of perturbation theory, alongside a calculation of nonperturbative instanton-actions and corresponding Stokes data. This calculation requires an algorithm to reach large-order, which is valid for arbitrary two-dimensional topological gravity. String equations---as derived from the Gel'fand-Dikii construction of the resolvent---are analyzed in both multicritical and minimal string theoretic contexts, and studied both perturbatively and nonperturbatively (always matching against the earlier spectral-geometry computations). The resulting solutions, as described by resurgent transseries, are shown to be resonant. The large matter-central-charge limit is addressed---in the string-equation context---and, in particular, the string equation for Jackiw-Teitelboim gravity is obtained to next derivative-orders, beyond the known genus-zero case (its possible exact-form is also discussed). Finally, a discussion of gravitational perturbations to Schwarzschild-like black hole solutions in these minimal-string models, regarded as deformations of Jackiw-Teitelboim gravity, is included---alongside a brief discussion of quasinormal modes.
最近发现了关于杰克维-泰特博伊姆二维稀拉顿引力的两个非凡事实:这一理论与量子力学理论的集合是对偶的;这种集合由随机矩阵模型描述,而随机矩阵模型本身可被视为极小弦理论的一个特殊(大物质-中心电荷)极限。这项工作涉及这一极限,将其置于更广泛的矩阵模型背景中;比较多临界模型和极小弦之间的结果(即在多临界背景和保角背景之间变化);并在两种情况下都使大物质-中心电荷极限精确化(因为这种极限也可以为多临界序列定义)。这些分析首先是通过谱几何在微扰和非微扰层面上完成的,解决了微扰理论的大阶增长问题,同时还计算了非微扰瞬子作用和相应的斯托克斯数据。这种计算需要一种达到大阶的算法,它适用于任意二维拓扑引力。在多临界和最小弦理论的背景下分析了弦方程--从Gel'fand-Dikii的解析构造中导出--并研究了扰动和非扰动(始终与先前的谱几何计算相匹配)。结果表明,所得到的解决方案,正如回升跨序列所描述的那样,是共振的。在弦方程的背景下,讨论了大物质-中心-电荷极限,特别是在已知的零属情况之外,获得了杰克维-泰特博伊姆引力的弦方程的下一个导数阶(还讨论了其可能的精确形式)。最后,我们还讨论了这些最小弦模型中类似于施瓦兹丘尔德黑洞解的引力扰动,将其视为杰克维-泰特博伊姆引力的变形--同时简要讨论了准正常模式。
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引用次数: 0
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Classical and Quantum Gravity
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