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We present the first numerical simulations of gravitational waves (GWs) passing through a potential well generated by a compact object in 3-D space, with a realistic source waveform derived from numerical relativity for the merger of two…

High Energy Astrophysical Phenomena · Physics 2020-05-22 Jian-hua He

We present a new covariant and gauge-invariant perturbation formalism for dealing with spacetimes having spherical symmetry (or some preferred spatial direction) in the background, and apply it to the case of gravitational wave propagation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Chris A. Clarkson , Richard K. Barrett

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

We investigate gravitational wave emission from periodic timelike orbits of a test particle around a loop quantum gravity-inspired Schwarzschild black hole. The spacetime is characterised by a holonomy-correction parameter that modifies the…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Fazlay Ahmed , Qiang Wu , Sushant G Ghosh , Tao Zhu

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Jörg Frauendiener , Chris Stevens

The explicit form of perturbation equation for the $\Psi_4$ Weyl scalar, containing the matter source terms, is derived for general type D spacetimes. It is described in detail the particular case of the Schwarzschild spacetime using…

General Relativity and Quantum Cosmology · Physics 2011-02-19 Juan Carlos Degollado , Dario Nunez , Carlos Palenzuela

We study scattering of waves by black holes. Solving a massless scalar field with a point source in the Schwarzschild spacetime, waves scattered by the black hole is obtained numerically. We then reconstruct images of the black hole from…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Ken-ichiro Kanai , Yasusada Nambu

Understanding the behaviour of linear waves on black hole backgrounds is a central problem in general relativity, intimately connected with the nonlinear stability of the black hole spacetimes themselves as solutions to the Einstein…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mihalis Dafermos

We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yosef Zlochower , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

We compute the propagation and scattering of linear gravitational waves off a Schwarzschild black hole using a numerical code which solves a generalization of the Zerilli equation to a three dimensional cartesian coordinate system. Since…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Rezzolla , A. M. Abrahams , T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

In this paper, we investigate periodic bound orbits and gravitational wave (GW) emission in the Schwarzschild-Bertotti-Robinson (Schwarzschild-BR) spacetime-an exact electrovacuum solution describing a static black hole (BH) immersed in a…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Tursunali Xamidov , Sanjar Shaymatov , Qiang Wu , Tao Zhu

We employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

High Energy Physics - Theory · Physics 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi

We show how the concurrent implementation of the exact solutions of the Einstein equations, of the equations of motion of the test particles, and of the relativistic estimate of the emission of gravitational waves from test particles, can…

General Relativity and Quantum Cosmology · Physics 2018-03-21 J. F. Rodriguez , J. A. Rueda , R. Ruffini

A quest for phenomenological footprints of quantum gravity is among the central scientific tasks in the rising era of gravitational wave astronomy. We study gravitational wave dynamics within the noncommutative geometry framework, based on…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Nikola Herceg , Tajron Jurić , Andjelo Samsarov , Ivica Smolić , Kumar S. Gupta

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…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jacek Jezierski

We consider the propagation of perturbations along an infinitely long stationary open string in the background of a Schwarzschild black hole. The equations of motion for the perturbations in the 2 transverse physical directions are solved…

High Energy Physics - Theory · Physics 2009-10-22 A. L. Larsen

We analyze the gravitational radiation emitted from a particle in circular motion around a Schwarzschild black hole using the framework of quantum field theory in curved spacetime at tree level. The gravitational perturbations are written…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

Gravitational wave radiation from periodic orbits in some standard regular black hole spacetimes is studied, primarily using known methods (numerical and analytic). We demonstrate specific differences with the singular Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Rishav Agrawal , Anjan Kar , Soumya Jana , Sayan Kar

In this paper, we investigate the gravitational collapse to form the black hole in the acceleratingly expanding universe in the frame of Einstein--Gauss-Bonnet theory having two scalar fields and we study the propagation of the…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Shin'ichi Nojiri , G. G. L. Nashed

In this study, we explore the dynamics of particle orbits and their corresponding gravitational wave signatures in the vicinity of a Schwarzschild black hole (BH) surrounded by a cloud of strings and embedded in a perfect fluid dark matter…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Ziqiang Cai , Zhi Li , Zhenglong Ban , Qi-Qi Liang , Zheng-Wen Long
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