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The gravitational deflection effect of relativistic massive and massless particles up to the first post-Minkowskian order caused by a moving Schwarzschild black hole with a two-dimensional equatorial velocity, which contains the radial and…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Xuan Wang , Wenbin Lin , Ghulam Mustafa , Guansheng He

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

In this paper, we have presented the studies of the motion of magnetized particles and energetic processes around Schwarzschild black holes in modified gravity (MOG). The study of circular stable orbits shows that orbits of magnetized…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Kamoliddin Haydarov , Javlon Rayimbaev , Ahmadjon Abdujabbarov , Satimbay Palvanov , Dilfuza Begmatova

We consider electromagnetic fields and charged particle dynamics around non-singular black holes in conformal gravity immersed in an external, asymptotically uniform magnetic field. First, we obtain analytic solutions of the electromagnetic…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Bakhtiyor Narzilloev , Javlon Rayimbaev , Ahmadjon Abdujabbarov , Cosimo Bambi

The ``close limit,'' a method based on perturbations of Schwarzschild spacetime, has proved to be a very useful tool for finding approximate solutions to models of black hole collisions. Calculations carried out with second order…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Garat , R. H. Price

The purpose of this paper is twofold. First, we introduce a geometric approach to study the circular orbit of a particle in static and spherically symmetric spacetime based on Jacobi metric. Second, we apply the circular orbit to study the…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Zonghai Li , Guodong Zhang , Ali Övgün

The axial and polar modes for the ring down of a Schwarzschild black hole are calculated, by first deriving the Regge-Wheeler and Zerilli equations, respectively, and finally applying the Asymptotic Iteration Method (AIM). We were able to…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Peter Otto Hess , Enrique Lopez-Moreno

Based on the scalar-tensor-vector modified gravitational theory, a modified gravity Schwarzschild black hole solution has been given in the existing literature. Such a black hole spacetime is obtained through the inclusion of a modified…

General Relativity and Quantum Cosmology · Physics 2022-06-10 Daqi Yang , Wenfu Cao , Naying Zhou , Hongxing Zhang , Wenfang Liu , Xin Wu

In this paper, we study the motion of neutral and electrically charged particles in the vicinity of a deformed-Schwarzschild black hole inspired by Loop Quantum Gravity (LQG). To examine the motion of an electrically charged test particle,…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Kourosh Nozari , Sara Saghafi , Milad Hajebrahimi , Kimet Jusufi

The motion of a small compact object in a curved background spacetime deviates from a geodesic due to the action of its own field, giving rise to a self-force. This self-force may be calculated by integrating the Green function for the wave…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Marc Casals , Sam Dolan , Adrian C. Ottewill , Barry Wardell

We examine the motion in Schwarzschild spacetime of a point particle endowed with a scalar charge. The particle produces a retarded scalar field which interacts with the particle and influences its motion via the action of a self-force. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Roland Haas , Eric Poisson

In this work, we derive new analytic, static, symmetric black hole solutions in theories involving dark photons with minimal and higher-order magnetic dipole interactions. Starting from the effective non-relativistic potential between…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Ali Övgün , Reggie C. Pantig

We discuss the black hole effective action and define its static subsector. We determine the induced gravito-static polarization constants (electric Love numbers) of static black holes (Schwarzschild) in an arbitrary dimension, namely the…

High Energy Physics - Theory · Physics 2012-11-07 Barak Kol , Michael Smolkin

The Klein-Gordon equation for the wave function of a single massive scalar is written in spherical and parabolic coordinates in the presence of a Schwarzschild background, and some semi-classical techniques for deriving asymptotic results…

General Relativity and Quantum Cosmology · Physics 2011-06-15 Derek Lee

We estimate the degree of squeezing possible in gravitational waves due to nonlinear gravitational effects in the weakly perturbative regime. Using the predicted amplitude ratios for higher harmonic generation in the ringdown phase of a…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Sreenath K. Manikandan , Frank Wilczek

The traditional effective-source method is hampered by complex analytical expressions and the inherent smoothness limit, which incur high computational costs and complicate implementation. To overcome these limitations, we introduce the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Chao Zhang , Yungui Gong , Xuchen Lu , Wenting Zhou

A four-vector potential of an external test electromagnetic field in a Schwarzschild background is described in terms of a combination of dipole and quadrupole magnetic fields. This combination is an interior solution of the source-free…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Qihan Zhang , Xin Wu

The metric perturbation induced by a particle in the Schwarzschild background is usually calculated in the Regge-Wheeler (RW) gauge, whereas the gravitational self-force is known to be given by the tail part of the metric perturbation in…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Norichika Sago , Hiroyuki Nakano , Misao Sasaki

Black hole radiation from an infinitesimally thin massive collapsing shell, possessing a global monopole charge, which in turn leads to a Schwarzschild black hole with a global monopole charge has been shown to be processed by a unitary…

General Relativity and Quantum Cosmology · Physics 2019-08-27 Arpit Das , Narayan Banerjee

In this paper we study the dynamics of trajectory of a spinning particle in a Schwarzschild spacetime involving a global monopole. We set up the equations of motion and find three types of trajectories. We study the conditions that a…

General Relativity and Quantum Cosmology · Physics 2014-09-01 Qihong Huang , Juhua Chen , Yongjiu Wang
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