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When a charge is held static near a constant density spherical star, it experiences a self-force which is significantly different from the force it would experience when placed near a black hole of the same mass. In this paper, an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Karthik Shankar , Bernard F. Whiting

Explicit tests are presented of the conjectured entropic origin of the gravitational force. The gravitational force on a test particle in the vicinity of the horizon of a large Schwarzschild black hole in arbitrary spacetime dimensions is…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Sourav Bhattacharya , Panagiotis Charalambous , Theodore N Tomaras , Nicolaos Toumbas

It is well known that supermassive black holes in the centers of galaxies are capable of accelerating charged particles to very high energies. In many cases, the particle acceleration by black holes occurs electromagnetically through an…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Bakhtinur Juraev , Zdeněk Stuchlík , Arman Tursunov , Martin Kološ

In this work I use a frequency-domain Regge-Wheeler-Zerilli approach to compute the gravitational wave energy radiated by a compact body moving along a hyperbolic or parabolic geodesic of a Schwarzschild black hole. I compare my results…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Niels Warburton

We develop a numerical code to compute gravitational waves induced by a particle moving on eccentric inclined orbits around a Kerr black hole. For such systems, the black hole perturbation method is applicable. The gravitational waves can…

General Relativity and Quantum Cosmology · Physics 2009-08-05 Ryuichi Fujita , Wataru Hikida , Hideyuki Tagoshi

We calculate the self-force experienced by a point scalar charge, a point electric charge, and a point mass moving in a weakly curved spacetime characterized by a time-independent Newtonian potential. The self-forces are calculated by first…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michael J. Pfenning , Eric Poisson

We present a new method designed to avoid numerical challenges that have impeded calculation of the Lorenz gauge self-force acting on a compact object inspiraling into a Kerr black hole. This type of calculation is valuable in creating…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Thomas Osburn , Nami Nishimura

We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Donato Bini , Andrea Geralico , Jan Steinhoff

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…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Oreeda Shabbir , Mubasher Jamil , Mustapha Azreg-Aïnou

We propose an approach for the calculation of self-forces, energy fluxes and waveforms arising from moving point charges in curved spacetimes. As opposed to mode-sum schemes that regularize the self-force derived from the singular retarded…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Ian Vega , Steven Detweiler

We study the self forces acting on static scalar and electric test charges in the spacetime of a Schwarzschild black hole. The analysis is based on a direct, local calculation of the self forces via mode decomposition, and on two…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Lior M. Burko

In this paper we study the gravitational collapse in loop quantum gravity. We consider the space-time region inside the Schwarzschild black hole event horizon and we divide this region in two parts, the first one where the matter (dust…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leonardo Modesto

Using self-force methods, we consider the hyperbolic-type scattering of a pointlike particle carrying a scalar charge $Q$ off a Schwarzschild black hole. For given initial velocity and impact parameter, back-reaction from the scalar field…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Leor Barack , Oliver Long

We derive the explicit values of all regularization parameters (RP) for a scalar particle in an arbitrary geodesic orbit around a Schwarzschild black hole. These RP are required within the previously introduced mode-sum method, for…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack , Amos Ori

A generalized Newtonian potential is derived from the geodesic motion of test particles in Schwarzschild spacetime. This potential reproduces several relativistic features with higher accuracy than commonly used pseudo-Newtonian approaches.…

High Energy Astrophysical Phenomena · Physics 2013-06-17 Emilio Tejeda , Stephan Rosswog

The gravitational waves emitted by binary systems with extreme-mass ratios carry unique astrophysical information that can only be detected by space-based detectors like eLISA. To that end, a very accurate modelling of the system is…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Priscilla Canizares , Carlos F. Sopuerta

We compute the self-force acting on an electric charge at rest in Schwarzschild-de Sitter spacetimes, allowing the cosmological constant to be either positive or negative. In the case of a positive cosmological constant, we show that the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Joseph Kuchar , Eric Poisson , Ian Vega

In this paper, we investigate the dynamics and gravitational-wave signatures of periodic orbits of spinning test particles moving in the equatorial plane around static, spherically symmetric black holes within the framework of Deser-Woodard…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Moisés Bravo-Gaete , Jianhui Lin , Yunlong Liu , Xiangdong Zhang

In this work, we present the new technique for discussing the dynamical motion of neutral as well as charged particles in the absence/presence of magnetic field around the time conformal Schwarzschild black hole. Initially, we find the…

General Physics · Physics 2016-11-23 Abdul Jawad , Farhad Ali , M. Umair Shahzad , G. Abbas

The problem of a compact binary system whose components move on circular orbits is addressed using two different approximation techniques in general relativity. The post-Newtonian (PN) approximation involves an expansion in powers of…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting