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Examination of the free-fall motion of particles of extremely high-speed in the Schwarzschild geometry reveals that the gravitational acceleration of such particles is reversed when measured in Schwarzschild coordinates. High-speed…

General Relativity and Quantum Cosmology · Physics 2011-11-18 Hans C. Ohanian

Using effective field theory techniques, we compute quantum corrections to spherically symmetric solutions of Einstein's gravity and focus in particular on the Schwarzschild black hole. Quantum modifications are covariantly encoded in a…

High Energy Physics - Theory · Physics 2017-05-24 Xavier Calmet , Basem Kamal El-Menoufi

Propagation of relativistic particles in the Schwarzschild gravitational field is studied. Particles emitted radially outward with speed at infinity exceeding c/2^0.5 are observed to be accelerated in the gravitational field by a distant…

Earth and Planetary Astrophysics · Physics 2014-11-20 Marek Kutschera , Wieslaw Zajiczek

The gravitational lensing of relativistic and nonrelativistic neutral massive particles in the black-bounce-Schwarzschild black hole spacetime is investigated in the strong deflection limit. Beginning with the explicit equations of motion…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Guansheng He , Jiaxu Huang , Zhongwen Feng , Ghulam Mustafa , Wenbin Lin

According to the socalled "quasi-metric" framework developed elsewhere, the cosmic expansion applies directly to gravitationally bound systems. This prediction has a number of observable consequences, none of which are in conflict with…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dag Østvang

We present an implementation of a ray tracing code in the Schwarzschild metric. We aim at building a numerical code with a correct implementation of both special (aberration, amplification, Doppler) and general (deflection of light,…

General Relativity and Quantum Cosmology · Physics 2020-07-16 Alain Riazuelo

The motion of a massive test particle in a Schwarzschild spacetime surrounded by a perfect fluid with equation of state $p_0= w \rho_0$ is investigated. Deviations from geodesic motion are analyzed as a function of the parameter $w$,…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Sauro Succi

We present the numerical evolution of a massive test scalar fields around a Schwarzschild space-time. We proceed by using hyperboloidal slices that approach future null infinity, which is the boundary of scalar fields, and also demand the…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-01 A. Cruz-Osorio , F. S. Guzman , F. D. Lora-Clavijo

The electric potential and the electromagnetic field for a linearly accelerated Born-Infeld charged particle are obtained in an inertial frame by a method that can, in principle, be applied to any electromagnetic theory. The method is based…

General Relativity and Quantum Cosmology · Physics 2024-07-08 M. L. Peñafiel , S. E. Perez Bergliaffa

We present a modified Schwarzschild solution for a model of evaporation of a black hole with information preservation. By drawing a direct analogy to the quantum pure accelerating mirror (dynamical Casimir effect of a 1D horizon), we derive…

General Relativity and Quantum Cosmology · Physics 2021-04-12 Michael R. R. Good , Eric V. Linder

We consider the electromagnetic field occurring in the background of a static, axially symmetric vacuum solution of Einstein's field equations immersed in an external magnetic field. The solution, known as the $\gamma$ metric (or…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Carlos A. Benavides-Gallego , Ahmadjon Abdujabbarov , Daniele Malafarina , Bobomurat Ahmedov , Cosimo Bambi

The analytical and numerical solutions of the Mathisson-Papapetrou equations under the Mathisson-Pirani supplementary condition describing highly relativistic (ultrarelativistic) motions of a spinning particle in a Schwarzschild field are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roman Plyatsko

Spacetime metrics describing `non-singular' black holes are commonly studied in the literature as effective modification to the Schwarzschild solution that mimic quantum gravity effects removing the central singularity. Here we point out…

General Relativity and Quantum Cosmology · Physics 2015-03-25 Tommaso De Lorenzo , Costantino Pacilio , Carlo Rovelli , Simone Speziale

A phase of massive gravity free from pathologies can be obtained by coupling the metric to an additional spin-two field. We study the gravitational field produced by a static spherically symmetric body, by finding the exact solution that…

High Energy Physics - Theory · Physics 2009-12-15 Z. Berezhiani , D. Comelli , F. Nesti , L. Pilo

We develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy ratio and the deviation of metric functions from a given form,…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Kirill Kobialko , Dmitri Gal'tsov

Gravitational repulsion is an inherent aspect of the Schwarzschild solution of the Einstein-Hilbert field equations of general relativity. We show that this circumstance means that it is possible to gravitationally accelerate particles to…

High Energy Astrophysical Phenomena · Physics 2018-02-26 Charles H. McGruder

The motion with intersections of relativistic gravitating shells in the Schwarzschild gravitational field of a central body is considered. Formulas are derived for calculating parameters of the shells after intersection via their parameters…

Astrophysics · Physics 2009-11-07 M. V. Barkov , V. A. Belinski , G. S. Bisnovatyi-Kogan

We study the dynamics of spinning charged test particles orbiting a Schwarzschild black hole immersed in a test uniform magnetic field. This setup provides a simple but physically relevant framework for modeling particle motion in…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Misbah Shahzadi , Martin Kolos , Ondrej Zelenka , Georgios Lukes-Gerakopoulos

In this paper, the consequences of introducing a deformed Snyder-Kepler potential in the Schwarzchild metric are investigated. After this modification, it is obtained a dynamically depending horizon with different penetration radius for…

General Physics · Physics 2017-03-02 Carlos Leiva

Expectation values of one-loop renormalized thermal equilibrium stress-energy tensors of free conformal scalars, spin-${1 \over 2}$ fermions and U(1) gauge fields on a Schwarzschild black hole background are used as sources in the…

General Relativity and Quantum Cosmology · Physics 2012-08-27 David Hochberg , Thomas W. Kephart , James W. York,