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We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

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

This paper explores the dynamics of both neutral as well as charged particles orbiting near a rotating black hole in scalar-tensor-vector gravity. We study the conditions for the particle to escape at the innermost stable circular orbit. We…

General Relativity and Quantum Cosmology · Physics 2017-09-13 M. Sharif , Misbah Shahzadi

We study the self force acting on a particle endowed with scalar charge, which is held static (with respect to an undragged, static observer at infinity) outside a stationary, axially-symmetric black hole. We find that the acceleration due…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko , Yuk Tung Liu

We investigate the dynamics of charged and neutral particles in the vicinity of a Schwarzschild-like black hole immersed in an external magnetic field. We find that the innermost stable circular orbits (ISCOs) for charged particles are…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Sojida Mannobova , Gulnisa Abdukayumova , Farruh Atamurotov , Ahmadjon Abdujabbarov , X. Gao , G. Mustafa

Comparing the corrections to Kepler's law with orbital evolution under a self force, we extract the finite, already regularized part of the latter in a specific gauge. We apply this method to a quasi-circular orbit around a Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Lior M. Burko

In this work, we analytically investigate the effects of the scalar self-force exerted by a massless scalar field on a particle in a slightly eccentric orbit around a Schwarzschild black hole. By solving the Klein-Gordon equation in the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Salvatore Capozziello , Nicola Menadeo , Davide Usseglio

The gravitational self-force acting on a particle orbiting a massive central body has thus far been computed for vacuum spacetimes involving a black hole. In this work we continue an ongoing effort to study the self-force in nonvacuum…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Soichiro Isoyama , Raissa F. P. Mendes , Eric Poisson

We investigate the motion of a massive particle around a spherically symmetric black hole surrounded by a stationary and radial inflow of perfect fluid. The background spacetime is modelled as a spherically symmetric solution to the…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Ariadna Uxue Palomino Ylla , Yasutaka Koga , Chul-Moon Yoo

The self-force describes the effect of a particle's own gravitational field on its motion. While the motion is geodesic in the test-mass limit, it is accelerated to first order in the particle's mass. In this contribution I review the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Eric Poisson

In this paper, geodesic motion of the charged particles in the vicinity of event horizon of Schwarzschild anti-de-Sitter black hole (BH) with topological defects has been investigated. Weakly magnetized environment is considered in the…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Sidra Shafiq , Saqib Hussain , Muhammad Ozair , Adnan Aslam , Takasar Hussain

Scalar field self-force effects on a scalar charge orbiting a Reissner-Nordstr\"om black hole are investigated. The scalar wave equation is solved analytically in a post-Newtonian framework, and the solution is used to compute the…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Donato Bini , Gabriel Carvalho , Andrea Geralico

In this study, we investigate the geodesic motion of a test particle around the Schwarzchild black hole in a $\kappa$-deformed space-time. We compute a modified Lagrangian to obtain the $\kappa$-deformed effective potential and find the…

General Relativity and Quantum Cosmology · Physics 2024-05-10 Dilip Kumar , Suman Kumar Panja , Abhisek Saha , Soma Sanyal

We consider the electromagnetic field occurring in the background of a static, axially symmetric vacuum solution of Einstein's field equations immersed in an external magnetic field. The solution, known as the $\gamma$ metric (or…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Carlos A. Benavides-Gallego , Ahmadjon Abdujabbarov , Daniele Malafarina , Bobomurat Ahmedov , Cosimo Bambi

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii

We study the motion of a charged particle around a weakly magnetized rotating black hole. We classify the fate of a charged particle kicked out from the innermost stable circular orbit. We find that the final fate of the charged particle…

General Relativity and Quantum Cosmology · Physics 2015-09-03 Ryo Shiose , Masashi Kimura , Takeshi Chiba

We calculate the self-force acting on a particle with scalar charge moving on a generic geodesic around a Schwarzschild black hole. This calculation requires an accurate computation of the retarded scalar field produced by the moving…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roland Haas

A charge-free, point particle of infinitesimal mass orbiting a Kerr black hole is known to move along a geodesic. When the particle has a finite mass or charge, it emits radiation which carries away orbital energy and angular momentum, and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yasushi Mino

The scattering of massive particles by a Schwarzschild black hole also undergoing a drag force is considered. The latter is modeled as a viscous force acting on the orbital plane, with components proportional to the associated particle…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Donato Bini , Andrea Geralico

This review is concerned with the motion of a point scalar charge, a point electric charge, and a point mass in a specified background spacetime. In each of the three cases the particle produces a field that behaves as outgoing radiation in…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Eric Poisson