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Quasinormal modes in Kerr spacetime as a 2D eigenvalue problem 二维特征值问题在Kerr时空中的拟正规模态
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-15 DOI: 10.1088/1361-6382/ae24da
Jamil Assaad and Rodrigo Panosso Macedo
We revisit the computation of quasinormal modes (QNMs) of the Kerr black hole using a numerical approach exploiting a representation of the Teukolsky equation as a 2D elliptic partial differential equation. By combining the hyperboloidal framework with a m-mode decomposition, we recast the QNM problem into a single eigenvalue problem for each azimuthal mode. This formulation enables the simultaneous extraction of multiple QNMs, traditionally labeled by overtone number n and angular index , without requiring prior assumptions about their structure. We advocate for a simplified notation in which each overtone is uniquely labeled by a single index q, thereby avoiding the conventional but artificial distinction between regular and mirror modes. We compare two distinct hyperboloidal gauges–radial fixing and Cauchy horizon fixing-and demonstrate that, despite their different geometric properties and behavior in the extremal limit, they yield numerical values for the QNM spectra with comparable accuracy and exponential convergence. Moreover, we show that strong gradients observed near the horizon in the extremal Kerr regime are coordinate artefacts of specific slicing rather than physical features. Finally, we investigate the angular structure of the QNM eigenfunctions and show that the m-mode approach allows flexible projection onto both spin-weighted spheroidal and spherical harmonic bases. These results underscore the robustness and versatility of the hyperboloidal m-mode method as a foundation for future studies of QNM stability, pseudospectra, and mode excitation in gravitational wave astronomy.
我们使用数值方法利用Teukolsky方程作为二维椭圆偏微分方程的表示重新计算Kerr黑洞的准正态模态(QNMs)。通过将双曲面框架与m-模态分解相结合,我们将QNM问题转化为每个方位模态的单个特征值问题。这个公式可以同时提取多个QNMs,传统上用泛音数n和角指数来标记,而不需要事先假设它们的结构。我们提倡一种简化的表示法,其中每个泛音都由单个索引q唯一标记,从而避免常规但人为区分规则模式和镜像模式。我们比较了两种不同的双曲面测量-径向固定和柯西水平固定-并证明,尽管它们在极端极限下的几何性质和行为不同,但它们产生的QNM光谱数值具有相当的精度和指数收敛性。此外,我们还表明,在极端Kerr区域中,在视界附近观察到的强梯度是特定切片的坐标伪影,而不是物理特征。最后,我们研究了QNM特征函数的角结构,并证明了m-模方法允许在自旋加权的球谐基和球谐基上进行柔性投影。这些结果强调了双曲m模方法的鲁棒性和通用性,为引力波天文学中QNM稳定性、伪光谱和模式激发的未来研究奠定了基础。
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引用次数: 0
Antenna for the detection of electromagnetic audio-band disturbances on-board LISA 用于探测机载LISA电磁音频波段干扰的天线
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-12 DOI: 10.1088/1361-6382/ae1c8c
D Serrano, A Pérez-Ortega, D Roma-Dollase, J Salvans-Tort, J J Ho-Zhang, J Ramos-Castro and M Nofrarias
The LISA mission will be the first observatory to detect gravitational waves from space within the millihertz frequency band. Magnetic forces have an important impact on the instrument’s sensitivity below the millihertz. Hence, monitoring the magnetic environment within each of the LISA spacecrafts is of utmost importance. In this Letter we present the characterization of the coils that were used in LISA Pathfinder (LPF) when operating as magnetic sensors in the audio frequency band. The necessity of implementing this type of magnetometer is presented in order to monitor high frequency magnetic signals from the electronics on-board. We show that the LPF coils have a performance one order of magnitude better than the current requirements set by the LISA mission at the low end of the audio-band frequency. The LPF coils are able to measure a magnetic noise level of 1.45 at 50 Hz and 0.17 at 500 Hz. Additionally, the LPF coils can reach a magnetic noise floor of 0.1 at frequencies above 1 kHz.
LISA任务将是第一个探测毫赫频段空间引力波的天文台。磁力对仪器在毫赫以下的灵敏度有重要影响。因此,监测每个LISA航天器内的磁环境是至关重要的。在本文中,我们介绍了LISA探路者(LPF)中用作音频频段磁传感器时使用的线圈的特性。提出了实现这种磁强计的必要性,以监测机载电子设备发出的高频磁信号。我们表明,LPF线圈的性能比LISA任务在音频频段低端设定的当前要求好一个数量级。LPF线圈能够测量50 Hz时1.45和500 Hz时0.17的磁噪声水平。此外,LPF线圈在频率高于1khz时可以达到0.1的磁本底噪声。
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引用次数: 0
Gluing-at-infinity of two-dimensional asymptotically locally hyperbolic manifolds * 二维渐近局部双曲流形的无穷胶合
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-12 DOI: 10.1088/1361-6382/ae2417
Piotr T Chruściel and Raphaela Wutte
We review notions of mass of asymptotically locally Anti-de Sitter three-dimensional spacetimes, and apply them to some known solutions. For two-dimensional general relativistic initial data sets the mass is not invariant under asymptotic symmetries, but a unique mass parameter can be obtained either by minimisation, or by a monodromy construction, or both. We give an elementary proof of positivity, and of a Penrose-type inequality, in a natural gauge. We carry-out a gluing construction at infinity to time-symmetric asymptotically locally hyperbolic vacuum initial data sets and derive mass/entropy formulae for the resulting manifolds. Finally, we show that all mass aspect functions can be realised by constant scalar curvature metrics on complete manifolds which are smooth except for at most one conical singularity.
我们回顾了渐近局部反德西特三维时空的质量概念,并将其应用于一些已知解。对于二维广义相对论初始数据集,质量在渐近对称下不是不变的,但一个唯一的质量参数可以通过最小化或单构构造,或两者同时得到。给出了自然规范中一个penrose型不等式的正性的初等证明。我们对时间对称渐近局部双曲型真空初始数据集进行了无穷远处的粘接构造,并推导了得到的流形的质量/熵公式。最后,我们证明了除了最多一个圆锥奇点外,所有的质量方面函数都可以在光滑的完全流形上用常数标量曲率度量来实现。
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引用次数: 0
MHDuet: a high-order general relativistic radiation MHD code for CPU and GPU architectures MHDuet:用于CPU和GPU架构的高阶广义相对论辐射MHD代码
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-11 DOI: 10.1088/1361-6382/ae255e
Carlos Palenzuela, Miguel Bezares, Steven Liebling, Federico Schianchi, Julio Fernando Abalos, Ricard Aguilera-Miret, Carles Bona, Juan Antonio Carretero, Joan Massó, Matthew P Smith, Kwabena Amponsah, Kacper Kornet, Borja Miñano, Shrey Pareek and Miren Radia
We present MHDuet, an open source evolution code for general relativistic magnetohydrodynamics with neutrino transport. The code solves the full set of Einstein equations coupled to a relativistic, magnetized fluid with an M1 neutrino radiation scheme using advanced techniques, including adaptive mesh and large eddy simulation techniques, to achieve high accuracy. The Simflowny platform generates the code from a high-level specification of the computational system, producing code that runs with either the structured adaptive mesh refinement application infrastructure (SAMRAI) or adaptive mesh refinement framework for exascale computing (AMReX) infrastructure. The choice of AMReX enables compilation and execution on graphical processing units, running an order of magnitude faster than on central processing units at the node level. We validate the code against benchmark tests, reproducing previous results obtained with the SAMRAI infrastructure, and demonstrate its capabilities with simulations of neutron stars employing realistic tabulated equations of state. Resolution studies clearly demonstrate convergence faster than second order in the grid spacing. Scaling tests reveal excellent strong and weak scaling performance when running on graphical processing units. The goal of the code is to provide a powerful tool for studying the dynamics of compact objects within multi-messenger astrophysics.
我们提出了MHDuet,一个具有中微子输运的广义相对论磁流体动力学的开放源代码演化代码。该代码利用先进的技术,包括自适应网格和大涡流模拟技术,解决了与M1中微子辐射方案耦合的相对论性磁化流体的全套爱因斯坦方程,以实现高精度。Simflowny平台根据计算系统的高级规范生成代码,生成的代码可以在结构化自适应网格细化应用程序基础设施(SAMRAI)或exascale计算的自适应网格细化框架(AMReX)基础设施中运行。选择AMReX可以在图形处理单元上进行编译和执行,比在节点级的中央处理单元上运行快一个数量级。我们根据基准测试验证了代码,再现了以前使用SAMRAI基础设施获得的结果,并通过使用现实的状态表方程模拟中子星来演示其功能。分辨率研究清楚地表明,在网格间距上,收敛速度比二阶更快。在图形处理单元上运行时,缩放测试显示了出色的强缩放和弱缩放性能。该代码的目标是提供一个强大的工具,用于研究多信使天体物理学中紧凑物体的动力学。
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引用次数: 0
A mass-shell model of compact binary coalescence 致密二元聚并的质量-壳模型
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-11 DOI: 10.1088/1361-6382/ae2560
Noah M MacKay
The final pulse of gravitational wave (GW) emission is released at the peak of the chirp rise before compact binary merger. LIGO detections since GW150914 reveal a correlation between the radiated energy and the ad hoc scaling of one-tenth of the chirp mass , which begs to ask if this is physically grounded. Motivated by current effective one-body models, this work models compact binary coalescence as a rotating, compact mass shell that is contracting towards the total mass horizon. Using a variational methodology, the Laplace–Beltrami formulation for the Ricci tensor is applied to a Kerr metric Ansatz, retrieving the energy density T00 of the compact binary (CB) mass shell via the Einstein field equations. At the time of coalescence , the corresponding surface energy ultimately depends on the reduced mass µ of the CB, the symmetric mass ratio α, and the CB’s normalized orbital spin velocity. In other words, this surface energy is the anticipated energy radiated as GWs, which is not one-tenth of the chirp mass systematically. Under simple assumptions, the anticipated energy for GW150914 – a representative example—is using documented center values. Under a more rigorous analysis in comparison, the anticipated energy for GW150914 is . This is compared with the GWTC recorded value of for GW150914, with the latter analysis providing a closer approximation to the actual value. This study also includes the derivation of GW forms from the CB mass shell model, which depend on dynamic frequencies and decreasing CB separations.
引力波发射的最终脉冲是在紧密双星合并前啁啾上升的峰值处释放的。自GW150914以来,LIGO的探测揭示了辐射能量与啁啾质量的十分之一的特殊比例之间的相关性,这就需要问这是否有物理基础。受当前有效的单体模型的启发,本工作将紧致双星合并建模为一个旋转的紧致质量壳,它向总质量视界收缩。使用变分方法,将Ricci张量的Laplace-Beltrami公式应用于Kerr度量Ansatz,通过爱因斯坦场方程获得紧致二进制(CB)质量壳的能量密度T00。在聚并时,相应的表面能最终取决于CB的约简质量µ、对称质量比α和CB的归一化轨道自旋速度。换句话说,这个表面能是预期的以千兆瓦为单位辐射的能量,它不是系统啁啾质量的十分之一。在简单的假设下,GW150914(一个代表性的例子)的预期能量使用记录的中心值。在比较严格的分析下,GW150914的预期能量为。将其与GW150914的GWTC记录值进行比较,后者的分析更接近实际值。本研究还包括从CB质量壳模型中推导出GW形式,这些形式依赖于动态频率和减少CB分离。
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引用次数: 0
Bounds on complex structure moduli values for perturbative control 微扰控制的复结构模值界
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-11 DOI: 10.1088/1361-6382/ae255f
Min-Seok Seo
String compactification in the framework of the low energy effective supergravity requires the perturbative control in both the large volume and the weak coupling expansions. However, when the complex structure moduli couple to some lattice structure, the Sp symmetry of the tree level Kähler potential allows the correction to the Kähler potential to diverge in the large field limit of the complex structure moduli, resulting in the breakdown of the perturbative control. Here the lattice structure naturally appears in the presence of a tower of states like the Kaluza–Klein (KK) or the string modes, an essential ingredient of the distance conjecture. The similar situation can be found from the axio-dilaton contribution to the corrected Kähler potential, where the SL symmetry as well as the coupling between the axio-dilaton and the lattice structure allow the correction to diverge in the weak coupling limit. In order to keep the perturbative control, the values of the complex structure moduli as well as the dilaton must have the upper bound, which is determined by the volume of the internal manifold and the string coupling constant, hence the KK and the string mass scales. The form of the bounds are quite similar to that given by the distance conjecture, both prevents the descent of a tower of states.
低能有效超引力框架下的弦紧化需要在大体积和弱耦合展开中进行微扰控制。然而,当复杂结构模与某些晶格结构耦合时,树级Kähler势的Sp对称性使得对Kähler势的修正在复杂结构模的大场极限内发散,导致微扰控制失效。在这里,晶格结构自然地出现在像Kaluza-Klein (KK)或弦模式这样的状态塔的存在下,这是距离猜想的基本成分。类似的情况也可以从轴向膨胀对修正Kähler势的贡献中发现,其中SL对称性以及轴向膨胀与晶格结构之间的耦合使得修正在弱耦合极限中发散。为了保持微扰控制,复杂结构模量和膨胀量的值必须有上界,上界由内部流形的体积和弦耦合常数决定,因此有KK和弦质量尺度。边界的形式与距离猜想所给出的形式非常相似,两者都防止了状态塔的下降。
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引用次数: 0
Parameter estimation of gravitational waves from hyperbolic black hole encounters 双曲黑洞碰撞引力波的参数估计
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-10 DOI: 10.1088/1361-6382/ae2415
Chad Henshaw, Jacob Lange, Peter Lott, Richard O’Shaughnessy and Laura Cadonati
Systems of two black holes with unbound orbits can produce a diverse array of gravitational wave signals with rich morphology. This parameter space encompasses both hyperbolic orbit scattering events and dynamical captures, including zoom-whirl orbits with multiple flybys and direct plunge mergers. These signals challenge traditional parameter estimation infrastructure, which is largely optimized for quasicircular inspiral binaries. In this work we discuss the adaptation of the Rapid Iterative FiTting (RIFT) algorithm to this problem using the TEOBResumSDALI waveform model which can simulate generic orbits. We present results from a study of simulated signals emulating a scatter and plunge event, utilizing the design sensitivity of the forthcoming Cosmic Explorer interferometer. Our analysis demonstrates that RIFT accurately recovers the mass, spins, and hyperbolic orbit parameters: the system energy and angular momentum defined at a fiducial initial separation.
由两个轨道不受约束的黑洞组成的系统可以产生各种形态丰富的引力波信号。该参数空间包含双曲轨道散射事件和动态捕获,包括多次飞掠和直接俯冲合并的变焦旋转轨道。这些信号挑战了传统的参数估计基础设施,这些基础设施主要针对准圆形吸气双星进行了优化。在这项工作中,我们讨论了快速迭代拟合(RIFT)算法的适应性,使用TEOBResumSDALI波形模型,可以模拟一般轨道。我们利用即将问世的宇宙探索者干涉仪的设计灵敏度,对模拟散射和撞击事件的模拟信号进行了研究。我们的分析表明,RIFT精确地恢复了质量、自旋和双曲轨道参数:系统能量和角动量在基准初始分离时定义。
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引用次数: 0
Holographic complexity and the Hubble tension: a quantum gravity portrayal for the large scale structure of the cosmos 全息复杂性和哈勃张力:宇宙大尺度结构的量子引力写照
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-10 DOI: 10.1088/1361-6382/ae2416
Carlos Silva
In this paper, we propose a relationship between the so-called Hubble–Lemaî tre constant H0 and the holographic complexity related to the emergence of spacetime in quantum gravity. Such a result can represent an important step to understanding the Hubble tension by introducing a quantum gravity perspective for cosmological observations, regarding the degree of quantum complexity we measure around us.
在本文中,我们提出了所谓的Hubble-Lemaî三常数H0与量子引力中时空出现相关的全息复杂性之间的关系。这样的结果代表了理解哈勃张力的重要一步,通过引入宇宙学观测的量子引力视角,考虑到我们周围测量的量子复杂性的程度。
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引用次数: 0
Effect of noncommutative geometry on accretion disks around RGI-Schwarzschild black hole 非交换几何对rgi -史瓦西黑洞吸积盘的影响
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-10 DOI: 10.1088/1361-6382/ae255d
Dilip Kumar
In this study, we explore the combined effects of quantum gravity induced by non-commutativity and scale-dependent gravitational coupling on the thermal properties of the thin accretion disks around a Schwarzschild black hole. We consider a κ-deformed renormalization group induced (RGI) Schwarzschild black hole, where the classical Schwarzschild black hole geometry is modified by the κ-deformation of space-time and the running Newton’s coupling constant G(r). Using the modified metric, we derive the geodesic motion of massive particles, the effective potential, and the thermal properties such as the radiated energy flux, luminosity, and the temperature profile of the accretion disk around the κ-deformed RGI-Schwarzschild black hole. Our study shows that when non-commutativity is combined with the RGI framework, the effects produce a noticeable deviation from the classical Schwarzschild case. In particular, for small values of the deformation parameter, we observe an increase in the peak energy flux and the temperature of the accretion disk. This suggests that quantum gravity corrections enhance the disk’s radiative efficiency, especially in the inner regions closer to the black hole.
在这项研究中,我们探讨了由非交换性和尺度相关引力耦合引起的量子引力对史瓦西黑洞周围薄吸积盘热性质的综合影响。我们考虑了一个κ变形重整化群诱导(RGI)史瓦西黑洞,其中经典史瓦西黑洞几何由时空的κ变形和运行中的牛顿耦合常数G(r)修正。利用改进的度量,我们推导出了大质量粒子的测地线运动、有效势、辐射能量通量、光度和吸积盘的温度分布等热性质。我们的研究表明,当非交换性与RGI框架相结合时,其效应与经典的史瓦西情况产生了明显的偏差。特别地,当变形参数值较小时,我们观察到吸积盘的峰值能量通量和温度都有所增加。这表明量子引力修正提高了圆盘的辐射效率,特别是在靠近黑洞的内部区域。
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引用次数: 0
Angular velocity of rotating black holes—a new way to construct initial data for binary black holes 旋转黑洞角速度——构建双黑洞初始数据的一种新方法
IF 3.5 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-08 DOI: 10.1088/1361-6382/ae2414
Shuanglin Huang, Xuefeng Feng and Yun-Kau Lau
Motivated by a geometric understanding of the angular velocity of a Kerr black hole in terms of a quasi-conformal map that describes a 2d Beltrami fluid flow, a new way to construct initial data sets for binary rotating black holes by prescribing the angular velocities of the two black holes at their horizons is discussed. A set of elliptic equations with prescribed Dirichlet boundary conditions at the horizons and at spatial infinity is established for constructing the initial data. To explore the dynamics encoded in these initial data, we consider the conformally flat three-metric case and numerically evolve it using the BSSN code for two co-rotating and counter-rotating black holes with angular velocities prescribed at the horizons. When the angular velocities are non-uniform and deviate from a constant value at the horizons, new gravitational waveforms are generated which display certain oscillatory pattern reminiscent of that of quasi-normal ringing in the inspiral phase before merger takes place.
从描述二维Beltrami流体流动的准保角映射对Kerr黑洞角速度的几何理解出发,讨论了一种通过规定两个黑洞在视界处的角速度来构造二元旋转黑洞初始数据集的新方法。在视界和空间无穷远处建立了一组具有指定Dirichlet边界条件的椭圆方程来构造初始数据。为了探索这些初始数据中编码的动力学,我们考虑了共形平面三度量情况,并使用BSSN代码对视界处规定角速度的两个共旋转和反旋转黑洞进行了数值演化。当角速度不均匀且在视界处偏离恒定值时,产生新的引力波,这些引力波表现出一定的振荡模式,使人联想到合并前吸气阶段的准正振。
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引用次数: 0
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Classical and Quantum Gravity
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