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We present numerical results for the gravitational self-force and redshift invariant calculated in the Regge-Wheeler and Easy gauges for circular orbits in a Schwarzschild background, utilizing the regularization framework introduced by…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Jonathan E. Thompson , Barry Wardell , Bernard F. Whiting

In classical electrodynamics, an accelerating charged body emits radiation and experiences a corresponding radiation-reaction force, or self force. We extend to higher order in the total charge a previous rigorous derivation of the…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Jordan Moxon , Éanna Flanagan

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Maarten van de Meent

In this paper, we studied the geodesics of timelike and null like particles near an improved Schwarzschild black hole. The lapse function has been plotted and was found that only one horizon is possible. The equation of motion and effective…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Surajit Mandal

The problem of determining the electromagnetic and gravitational ``self-force'' on a particle in a curved spacetime is investigated using an axiomatic approach. In the electromagnetic case, our key postulate is a ``comparison axiom'', which…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Theodore C. Quinn , Robert M. Wald

A compact object moving on a quasicircular orbit about a Schwarzschild black hole gradually spirals inward due to the dissipative action of its gravitational self-force. But in addition to driving the inspiral, the self-force has a…

General Relativity and Quantum Cosmology · Physics 2014-10-24 Adam Pound

The analysis of the EM radiation from a single charge shows that the radiated power depends on the retarded acceleration of the charge. Therefore, for consistency, an accelerated charge, free from the influence of external forces, should…

Accelerator Physics · Physics 2015-06-26 Reuven Ianconescu , L. P. Horwitz

The scalar radiation emitted by a source in geodesic circular orbit around a regular Bardeen black hole is analyzed. We use the quantum field theory in curved spacetime framework to obtain the emitted power of radiation by computing the…

General Relativity and Quantum Cosmology · Physics 2019-07-17 R. P. Bernar , L. C. B. Crispino

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 considers the relativistic motion of charged particles coupled with electromagnetic fields in the higher-order theory proposed by Bopp, Land\'e--Thomas, and Podolsky. We rigorously derive a world-line integral expression for the…

Mathematical Physics · Physics 2024-06-19 Alan Baza , Aaron DeLeon , Angel Harb , Vu Hoang , Maria Radosz

We numerically calculate the dissipative part of the self-force on a scalar charge moving on a circular, geodesic, equatorial orbit in Kerr spacetime. The solution to the scalar field equation is computed by separating variables and is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Samuel E. Gralla , John L. Friedman , Alan G. Wiseman

Calculations of the gravitational self-force (GSF) in curved spacetime require as input the metric perturbation in a sufficiently regular gauge. A basic challenge in the program to compute the GSF for orbits around a Kerr black hole is that…

General Relativity and Quantum Cosmology · Physics 2014-01-21 Adam Pound , Cesar Merlin , Leor Barack

We consider the self-force on a charged particle moving in a curved spacetime with a background electromagnetic field, extending previous studies to situations in which gravitational and electromagnetic perturbations are comparable. The…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Thomas M. Linz , John L. Friedman , Alan G. Wiseman

Gravitational self-force theory is the leading approach for modeling gravitational wave emission from small mass-ratio compact binaries. This method perturbatively expands the metric of the binary in powers of the mass ratio. The source for…

General Relativity and Quantum Cosmology · Physics 2022-06-02 Rodrigo Panosso Macedo , Benjamin Leather , Niels Warburton , Barry Wardell , Anıl Zenginoğlu

The radiation reaction problem for an electric charge moving in flat space-time of three dimensions is discussed. The divergences stemming from the pointness of the particle are studied. A consistent regularization procedure is proposed,…

Classical Physics · Physics 2009-07-20 Yurij Yaremko

We discuss a practical method to compute the self-force on a particle moving through a curved spacetime. This method involves two expansions to calculate the self-force, one arising from the particle's immediate past and the other from the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Warren G. Anderson , Alan G. Wiseman

We explore how the gravitational self force (or ``radiation reaction'' force), acting on a pointlike test particle in curved spacetime, is modified in a gauge transformation. We derive the general transformation law, describing the change…

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

Free fall has signed the greatest markings in the history of physics through the leaning Pisa tower, the Cambridge apple tree and the Einstein lift. The perspectives offered by the capture of stars by supermassive black holes are to be…

History and Philosophy of Physics · Physics 2015-05-18 Alessandro Spallicci

We investigate the use of the Gegenbauer procedure for time-domain reconstruction in frequency-domain calculations of the self-force on a particle orbiting a black hole. The conventional technique relies on the so-called method of extended…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Christopher Whittall , Leor Barack , Oliver Long

The numerical calculation of gravitational self-force in extreme mass ratio inspiral systems is fundamentally challenging due to the singular nature of point-particle sources. To overcome these difficulties, the effective source method…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Chao Zhang , Rong-gen Cai , Guoyang Fu , Yungui Gong , Xuchen Lu , Wenting Zhou