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It is shown that the axial and polar perturbations of the spherically symmetric black hole can be described in a gauge-invariant way. The reduced phase space describing gravitational waves outside of the horizon is described by the…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Jacek Jezierski

The post-Newtonian approximation is still the most widely used approach to obtaining explicit solutions in general relativity, especially for the relativistic two-body problem with arbitrary mass ratio. Within many of its applications, it…

广义相对论与量子宇宙学 · 物理学 2014-09-09 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

In this paper, we present a detailed analysis of first-order perturbations of the Kerr metric in the slow-rotation limit. We perform the calculation by perturbing the Schwarzschild metric plus up to second-order corrections in the spin in…

广义相对论与量子宇宙学 · 物理学 2023-06-14 Nicola Franchini

We study the quasi-normal modes of the charged scalar perturbations in the background of the Einstein-Maxwell-aether black hole through three methods (WKB method, continued fraction method, generalized eigenvalue method). Then we propose…

广义相对论与量子宇宙学 · 物理学 2022-10-12 Wei Xiong , Peng Liu , Cheng-Yong Zhang , Chao Niu

We investigate how GWs pass through the spacetime of a Schwarzschild black hole using time-domain numerical simulations. Our work is based on the perturbed 3+1 Einstein's equations up to the linear order. We show explicitly that our…

广义相对论与量子宇宙学 · 物理学 2022-12-29 Jian-hua He , Zhenyu Wu

An explicit example is found showing how a modified theory of gravity can be constrained with the ringdown signals from merger of binary black holes. This has been made possible by the fact that the modified gravitational theory considered…

广义相对论与量子宇宙学 · 物理学 2019-10-23 Jiahui Bao , Changfu Shi , Haitian Wang , Jian-dong Zhang , Yiming Hu , Jianwei Mei , Jun Luo

The gravitational waves emitted in the ringdown phase of binary black-hole coalescence are a unique probe of strong gravity. Understanding how deviations from general relativity affect the ringdown phase of black holes, however, is…

广义相对论与量子宇宙学 · 物理学 2024-09-10 Adrian Ka-Wai Chung , Nicolas Yunes

We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

广义相对论与量子宇宙学 · 物理学 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

Motivated by gravitational wave observations of binary black hole mergers, we present a procedure to compute the leading order nonlinear gravitational wave interactions around a Kerr black hole. We describe the formalism used to derive the…

广义相对论与量子宇宙学 · 物理学 2021-05-26 Nicholas Loutrel , Justin L. Ripley , Elena Giorgi , Frans Pretorius

Perturbative calculations of gravitational radiation near the horizons of rotating black holes in the frequency domain have been plagued by divergence issues. We resolve this longstanding obstacle by constructing a nonsingular source term…

广义相对论与量子宇宙学 · 物理学 2026-03-31 Rico K. L. Lo , Yucheng Yin

Fundamental fields are a natural outcome in cosmology and particle physics and might therefore serve as a proxy for more complex interactions. The equivalence principle implies that all forms of matter gravitate, and one therefore expects…

广义相对论与量子宇宙学 · 物理学 2014-05-28 Hirotada Okawa , Helvi Witek , Vitor Cardoso

Accurately modeling astrophysical extreme-mass-ratio-insprials requires calculating the gravitational self-force for orbits in Kerr spacetime. The necessary calculation techniques are typically very complex and, consequently, toy…

广义相对论与量子宇宙学 · 物理学 2015-02-04 Niels Warburton

Theories of gravity extending or modifying general relativity typically allow for black hole solutions different from the Schwarzschild/Kerr geometries. Electromagnetic observations have been used to place constraints on parametrized…

广义相对论与量子宇宙学 · 物理学 2020-10-21 Sebastian H. Völkel , Enrico Barausse

Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations.…

广义相对论与量子宇宙学 · 物理学 2022-04-13 Sam R. Dolan , Chris Kavanagh , Barry Wardell

Black holes provide a natural laboratory to study particle physics and astrophysics. When black holes are surrounded by matter fields, there will be plenty of phenomena which can have observational consequences, from which we can learn…

广义相对论与量子宇宙学 · 物理学 2023-02-22 Zhen Li

Inspirals of stellar-mass objects into massive black holes will be important sources for the space-based gravitational-wave detector LISA. Modelling these systems requires calculating the metric perturbation due to a point particle orbiting…

广义相对论与量子宇宙学 · 物理学 2022-01-03 Vahid Toomani , Peter Zimmerman , Andrew Spiers , Stefan Hollands , Adam Pound , Stephen R. Green

We derive the tensor gravitational waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to second post-Newtonian order…

广义相对论与量子宇宙学 · 物理学 2014-04-15 Ryan N. Lang

Dynamical Chern-Simons gravity cannot be strongly constrained with current experiments because it reduces to General Relativity in the weak-field limit. This theory, however, introduces modifications in the non-linear, dynamical regime, and…

广义相对论与量子宇宙学 · 物理学 2020-01-03 Kent Yagi , Nicolas Yunes , Takahiro Tanaka

We derive general relativistic Gaussian equations for osculating elements for orbits under the influence of a perturbing force without any restrictions in an underlying Schwarzschild space-time. Such a formulation provides a way to describe…

广义相对论与量子宇宙学 · 物理学 2026-05-15 Oleksii Yanchyshen , Eva Hackmann , Claus Lämmerzahl

We extend the treatment of the problem of the gravitational waves produced by a particle of negligible mass orbiting a Kerr black hole using black hole perturbation theory in the time domain, to elliptic and inclined orbits. We model the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Gaurav Khanna
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