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We analyse the physics of nonlinear gravitational processes inside a spherical charged black hole perturbed by a self-gravitating massless scalar field. For this purpose we created an appropriate numerical code. Throughout the paper, in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jakob Hansen , Alexei Khokhlov , Igor Novikov

In this paper we compute the correction to the entropy of Schwarzschild black hole due to the vacuum polarization effect of massive scalar field. The Schwarzschild black hole is supposed to be confined in spherical shell. The scalar field…

High Energy Physics - Theory · Physics 2015-06-26 M R Setare

A scalar charged particle moving in a curved background spacetime will emit a field affecting its own motion; the resolving of this resulting motion is often referred to as the self-force problem. This also serves as a toy model for the…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Anna Heffernan

We study the geodesics of massive particles around accelerating Schwarzschild black hole. We show that the radius of the innermost stable circular orbit increases and the angular momentum of particle at this orbit decreases by increasing…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Mohammad Bagher Jahani Poshteh

We investigate geodesic motion and gravitational-wave signatures of charged black holes with scalar hair. Using the effective potential approach, we analyze marginally bound orbits and innermost stable circular orbits, showing how their…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Weike Deng , Sheng Long , Qin Tan , Jiliang Jing

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

Charged and/or rotating black holes in General Relativity feature Cauchy horizons, which indicate a breakdown of predictability in the theory. Focusing on spherically symmetric charged black holes, we remark that the inevitability of…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Tomáš Hale , Robie A. Hennigar , David Kubiznak

We present an expression for the gravitational self-force correction to the geodetic spin precession of a spinning compact object with small, but non-negligible mass in a bound, equatorial orbit around a Kerr black hole. We consider only…

General Relativity and Quantum Cosmology · Physics 2017-09-15 Sarp Akcay

In this paper we consider a rotating black hole with electric and magnetic monopole charges that moves in a static homogeneous electromagnetic field. We assume that both the charges and the fields are weak, so that they have no effect on…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Valeri P. Frolov , Alex Koek

We present a new, simple method for calculating the scalar, electromagnetic, and gravitational self forces acting on particles in orbit around a Kerr black hole. The standard ``mode-sum regularization'' approach for self-force calculations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leor Barack , Darren A. Golbourn , Norichika Sago

We discuss charged particles motion in a spacetime of a weakly magnetized static non-rotating black hole. We study under which conditions a charged particle originally revolving around the black hole at a circular orbit after being kicked…

General Relativity and Quantum Cosmology · Physics 2016-11-04 A. M. Al Zahrani , Valeri P. Frolov , Andrey A. Shoom

We study dispersive properties for the wave equation in the Schwarzschild space-time. The first result we obtain is a local energy estimate. This is then used, following the spirit of earlier work of Metcalfe-Tataru, in order to establish…

Analysis of PDEs · Mathematics 2015-05-13 Jeremy Marzuola , Jason Metcalfe , Daniel Tataru , Mihai Tohaneanu

We develop a geometric realization of a broad class of generalized black hole entropy functionals by establishing their direct correspondence with the Misner$-$Sharp quasilocal mass and the Wald Noether$-$charge entropy in scalar$-$tensor…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Hussain Gohar

General relativistic Gauss equations for osculating elements for bound orbits under the influence of a perturbing force in an underlying Schwarzschild space-time have been derived in terms of Weierstrass elliptic functions. Thereby, the…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Oleksii Yanchyshen , Claus Lämmerzahl

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

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 dynamics of charged particles around magnetized black holes provide valuable insights into astrophysical processes near compact objects. In this work, we investigate the bound and unbound trajectories of charged particles in the…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Uktamjon Uktamov , Mohsen Fathi , Javlon Rayimbaev

In this paper, we investigate the motion of charged particles around the weakly magnetized Schwarzschild-like bumblebee black hole which has Lorentz symmetry breaking. Charged particles have curled orbits around the black hole which can…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Hai-Yang Zhang , Ya-Peng Hu , Yu-Sen An

The Aschenbach effect, the increasing behavior of the angular velocity of a timelike circular orbit with its radius coordinate, is found to extensively exist in rapidly spinning black holes to a zero-angular-momentum observer. It also has…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Shao-Wen Wei , Yu-Xiao Liu

We continue to study the response of black-hole space-times on the presence of additional strong sources of gravity. Restricting ourselves to static and axially symmetric (electro-)vacuum exact solutions of Einstein's equations, we first…

General Relativity and Quantum Cosmology · Physics 2016-08-23 M. Basovník , O. Semerák
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