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The self-gravitating Higgs field of a scalar charge has been studied. It is shown that in the zero and first approximation of the smallness of the scalar charge, the gravitational field of the scalar charge is described by the…

General Relativity and Quantum Cosmology · Physics 2024-07-25 Yu. G. Ignat'ev

The article generalizes the description of tidal forces to the case of geodesics with non-zero angular momentum in the metric of static spherically symmetric black holes. We show that the geodesic deviation equation can be diagonalized even…

General Relativity and Quantum Cosmology · Physics 2022-04-29 V. P. Vandeev , A. N. Semenova

When a charge is held static near a constant density spherical star, it experiences a self-force which is significantly different from the force it would experience when placed near a black hole of the same mass. In this paper, an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Karthik Shankar , Bernard F. Whiting

The success of the moving puncture method for the numerical simulation of black hole systems can be partially explained by the properties of stationary solutions of the 1+log coordinate condition. We compute stationary 1+log slices of the…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Bernd Bruegmann

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

We analyze the scalar radiation emitted by a source in a circular geodesic orbit around a spherically symmetric black hole. The black hole spacetime considered is quite general, in the sense that it encompasses the solutions of…

General Relativity and Quantum Cosmology · Physics 2020-04-21 Rafael Bernar

The self-gravitating Higgs field of a scalar charge is studied for the case of an asymmetric scalar doublet containing, along with a canonical and a phantom component. It is shown that in the zero and first approximation of the smallness of…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Yu. G. Ignat'ev

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 scalar radiation emitted by a source in geodesic circular orbits around a Schwarzschild-de Sitter black hole. We obtain the emitted power using quantum field theory in curved spacetimes framework at tree level. We compare our…

General Relativity and Quantum Cosmology · Physics 2020-06-17 João P. B. Brito , Rafael P. Bernar , Luís C. B. Crispino

We discuss various ways in which the computation of conservative Gravitational Self Force (GSF) effects on a point mass moving in a Schwarzschild background can inform us about the basic building blocks of the Effective One-Body (EOB)…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Thibault Damour

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

We investigate the distribution of gravitational energy on the spacetime of a Schwarzschild black hole immersed in a cosmic magnetic field. This is done in the context of the {\it Teleparallel Equivalent of General Relativity}, which is an…

General Relativity and Quantum Cosmology · Physics 2012-11-06 K. H. C. Castello-Branco , J. F. da Rocha-Neto

A scalar field with a timelike gradient defines a preferred slicing. This occurs even in a non-cosmological setup in scalar-tensor theories such as khronometric theory. We study a black hole moving slowly relative to the preferred slicing…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Jin Saito , Tsutomu Kobayashi

The deviation of the path of a spinning particle from a circular geodesic in the Schwarzschild spacetime is studied by an extension of the idea of geodesic deviation. Within the Mathisson-Papapetrou-Dixon model and assuming the spin…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Robert T. Jantzen

The computation of the self-force constitutes one of the main challenges for the construction of precise theoretical waveform templates in order to detect and analyze extreme-mass-ratio inspirals with the future space-based…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Priscilla Canizares , Carlos F. Sopuerta

The geodesic equations are considered in static mass imbedded in a uniform electromagnetic field. Due to electromagnetic field horizon shrinks and geodesics are modified. By analyzing the behavior of the effective potentials for the…

General Physics · Physics 2019-07-24 A. Al-Badawi , M. Q. Owaidat , S. Tarawneh

The self-force is the leading method in modelling waveforms for extreme mass ratio inspirals, a key target of ESA's future space-based gravitational wave detector LISA. In modelling these systems, one approximates the smaller body as a…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Anna Heffernan

This work is a purely syntactic geometric exploration of some few elements, which are our axioms, that in last instance it is the set of differential equations whose solutions give the geodesic lines of the Schwarzschild spacetime. We…

General Mathematics · Mathematics 2023-11-23 M. P. Dussan , A. P. Franco Filho

In this paper we study geodesic motion around a distorted Schwarzschild black hole. We consider both timelike and null geodesics which are confined to the black hole's equatorial plane. Such geodesics generically exist if the distortion…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Andrey A. Shoom , Cole Walsh , Ivan Booth

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