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We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from 10 scalar…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Leor Barack , Carlos O. Lousto

We calculate the gravitational perturbations produced by a small mass in eccentric orbit about a much more massive Schwarzschild black hole and use the numerically computed perturbations to solve for the metric. The calculations are…

广义相对论与量子宇宙学 · 物理学 2010-11-23 Seth Hopper , Charles R. Evans

The satellite observatory LISA will be capable of detecting gravitational waves from extreme mass ratio inspirals (EMRIs), such as a small black hole orbiting a supermassive black hole. The gravitational effects of the much smaller mass can…

广义相对论与量子宇宙学 · 物理学 2009-04-02 Mark V. Berndtson

A small mass \mu in orbit about a much more massive black hole M moves along a world line that deviates from a geodesic of the black hole geometry by O(\mu/M). This deviation is said to be caused by the gravitational self-force of the…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Steven Detweiler

We formulate a spherical harmonically decomposed 1+1 scheme to self-consistently evolve the trajectory of a point particle and its gravitational metric perturbation to a Schwarzschild background spacetime. Following the work of Moncrief, we…

广义相对论与量子宇宙学 · 物理学 2014-05-28 Huan Yang , Haixing Miao , Yanbei Chen

We derive a geometrical version of the Regge-Wheeler and Zerilli equations, which allows us to study gravitational perturbations on an arbitrary spherically symmetric slicing of a Schwarzschild black hole. We explain how to obtain the…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Olivier Sarbach , Manuel Tiglio

The theory of gauge-invariant non-spherical metric perturbations of Schwarzschild black hole spacetimes is now well established. Yet, as different notations and conventions have been used throughout the years, the literature on the subject…

广义相对论与量子宇宙学 · 物理学 2020-09-08 Alessandro Nagar , Luciano Rezzolla

This article explores the motion of massive particles in the gravitational field of a modified gravity (MOG) black hole (BH), characterized by the parameter $\alpha$. Using the Hamiltonian formalism, the geodesic equations and the effective…

广义相对论与量子宇宙学 · 物理学 2025-01-20 Oreeda Shabbir , Mubasher Jamil , Mustapha Azreg-Aïnou

We investigate the behavior of the regular modified gravity (MOG) static spherically symmetric black hole (BH) under massless scalar perturbation, gravitational perturbation, and massless Dirac perturbation. The dimensionless parameter…

广义相对论与量子宇宙学 · 物理学 2023-07-18 Ahmad Al-Badawi

Quantum gravitational corrections to the entropy of the Schwarzschild black hole, derived using the Wald entropy formula within an effective field theory framework, were presented in [X. Calmet, F. Kuipers Phys.Rev.D 104 (2021) 6, 066012].…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Alexey Dubinsky

We calculate the odd-parity, radiative ($\ell \ge 2$) parts of the metric perturbation in Lorenz gauge caused by a small compact object in eccentric orbit about a Schwarzschild black hole. The Lorenz gauge solution is found via gauge…

广义相对论与量子宇宙学 · 物理学 2013-03-20 Seth Hopper , Charles R. Evans

Gravitational waves emitted by distorted black holes, such as those arising from the coalescence of binary black holes, or a falling compact star into a supermassive black hole, carry not only information about the corresponding spacetime…

广义相对论与量子宇宙学 · 物理学 2022-02-10 Chao Zhang , Tao Zhu , Anzhong Wang

Applying the quantum field theoretic perturbiner approach to Einstein gravity, we compute the metric of a Schwarzschild black hole order by order in perturbation theory. Using recursion, this calculation can be carried out in de Donder…

高能物理 - 理论 · 物理学 2024-05-31 Poul H. Damgaard , Kanghoon Lee

We present a comprehensive study of the quasinormal modes of a new class of nonlocal static and spherically symmetric black hole (BH) solutions within the framework of the revised Deser-Woodard theory of gravity. These solutions are…

广义相对论与量子宇宙学 · 物理学 2025-08-28 Rocco D'Agostino , Vittorio De Falco

Linearized perturbations of a Schwarzschild black hole are described, for each angular momentum $\ell$, by the well-studied discrete quasinormal modes (QNMs), and in addition a continuum. The latter is characterized by a cut strength…

广义相对论与量子宇宙学 · 物理学 2007-05-23 P. T. Leung , Alec Maassen_van_den_Brink , K. W. Mak , K. Young

For a Schwarzchild black hole of mass $M$, we consider a test particle falling from rest at infinity and becoming trapped, at late time, on the unstable circular orbit of radius $r=4GM/c^2$. When the particle is endowed with a small mass,…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Leor Barack , Marta Colleoni , Thibault Damour , Soichiro Isoyama , Norichika Sago

In this paper, we investigate the motion of charged particles around the weakly magnetized Schwarzschild-like bumblebee black hole which has Lorentz symmetry breaking. Charged particles have curled orbits around the black hole which can…

广义相对论与量子宇宙学 · 物理学 2025-07-03 Hai-Yang Zhang , Ya-Peng Hu , Yu-Sen An

We calculate the gravitational energy spectrum of the perturbations of a Schwarzschild black hole described by quasinormal modes, in the framework of the teleparallel equivalent of general relativity (TEGR). We obtain a general formula for…

广义相对论与量子宇宙学 · 物理学 2021-04-19 J. W. Maluf , S. C. Ulhoa , F. L. Carneiro , K. H. C. Castello-Branco

Using the post-Newtonian (PN) expansion technique of the gravitational wave perturbation around a Schwarzschild black hole, we calculate analytically the energy flux of gravitational waves induced by a particle in circular orbits up to the…

广义相对论与量子宇宙学 · 物理学 2009-10-09 T. Tanaka , H. Tagoshi , M. Sasaki

In this paper, we evaluated the quasinormal modes of electromagnetic perturbation in a Schwarzschild black hole surrounded by the static spherically symmetric quintessence by using the third-order WKB approximation when the quintessential…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yu Zhang , Yuanxing Gui , Fei Yu , Fenglin Li
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