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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

With the possibility of testing massive gravity in the context of black hole physics in mind, we consider the radiation produced by a particle plunging from slightly below the innermost stable circular orbit into a Schwarzschild black hole.…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Yves Decanini , Antoine Folacci , Mohamed Ould El Hadj

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

The mode-sum method provides a practical means for calculating the self force acting on a small particle orbiting a larger black hole. In this method, one first computes the spherical-harmonic $l$-mode contributions $F^{\mu}_l$ of the "full…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leor Barack , Amos Ori , Norichika Sago

Motivated by recent achievements of a full general relativistic method in estimating the mass-to-distance ratio of supermassive black holes hosted at the core of active galactic nuclei, we introduce the new concept redshift rapidity in…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Mehrab Momennia , Pritam Banerjee , Alfredo Herrera-Aguilar , Ulises Nucamendi

We calculate explicitly the black-hole temperature for the Schwarzschild de-Sitter solution inside massive gravity by defining the Killing-vector in the direction of the St\"uckelberg function. We then consider the conditions which an…

General Relativity and Quantum Cosmology · Physics 2017-05-12 Ivan Arraut

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 consider a scalar charge travelling in a curved background spacetime. We calculate the quasi-local contribution to the scalar self-force experienced by such a particle following a geodesic in a general spacetime. We also show that if we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adrian C. Ottewill , Barry Wardell

In this work we study the spectral dimensionality of spacetime around a radiating Schwarzschild black hole using a recently introduced formalism of quantum gravity, where the alterations of the gravitational field produced by the radiation…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Mauricio Bellini , Juan Ignacio Musmarra , Pablo Alejandro Sanchez , Alan Sebastian Morales

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

Eigenfunctions for normal modes of scalar fields in BTZ black hole spacetime are studied. Orthonormal relations among them are derived. Quantization for scalar fields is done and particle number, energy and angular momentum are expressed by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Kenmoku , M. Kuwata , K. Shigemoto

The problem of a test body in the Schwarzschild geometry is investigated in a Keplerian limit. Beginning with the Schwarzschild metric, a solution to the limited case of approximately elliptical (Keplerian) motion is derived in terms of…

Astrophysics · Physics 2008-09-05 Tyler J. Lemmon , Antonio R. Mondragon

We investigate the spontaneous scalarization of generic, static, and spherically symmetric regular black holes supported by nonlinear electrodynamics. Starting from an arbitrary seed metric, we employ the P-dual formalism to reconstruct the…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Ernesto Contreras , Mikaela Carrasco-Hidalgo , Pedro Bargueño , Arthur G. Suvorov

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

This article is devoted to the study of new exact analytical solutions in the background of Reissner-Nordstr\"{o}m space-time by using gravitational decoupling via minimal geometric deformation approach. To do so, we impose the most general…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Angel Rincon , Luciano Gabbanelli , Ernesto Contreras , Francisco Tello-Ortiz

Conventional particle theories such as the Standard Model have a number of freely adjustable coupling constants and mass parameters, depending on the symmetry algebra of the local gauge group and the representations chosen for the spinor…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Gerard 't Hooft

In this paper, the study of canonical quantization of a free real massive scalar field in the Schwarzschild spacetime is continued. The normalization constants for the eigenfunctions of the corresponding radial equation are calculated,…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Mikhail N. Smolyakov

We consider the modification of a single particle Schr\"{o}dinger equation by the inclusion of an additional gravitational self-potential term which follows from the prescription that the' mass-density'that enters this term is given by $m…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Vikram Soni

Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Oliver Long , Leor Barack

Regular black holes, as an important attempt to eliminate the singularities in general relativity, have been widely concerned. Due to the fact that the superradiance associated with rotating regular black holes plays an indispensable role…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Hao Yang , Yan-Gang Miao