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In this work, we present the new technique for discussing the dynamical motion of neutral as well as charged particles in the absence/presence of magnetic field around the time conformal Schwarzschild black hole. Initially, we find the…

General Physics · Physics 2016-11-23 Abdul Jawad , Farhad Ali , M. Umair Shahzad , G. Abbas

State-of-the-art computations of the gravitational self-force (GSF) on massive particles in black hole spacetimes involve numerical evolution of the metric perturbation equations in the time-domain, which is computationally very costly. We…

General Relativity and Quantum Cosmology · Physics 2013-11-27 Sarp Akcay , Niels Warburton , Leor Barack

We calculate the gravitational perturbations produced by a small mass in eccentric orbit about a much more massive Schwarzschild black hole and use the numerically computed perturbations to solve for the metric. The calculations are…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Seth Hopper , Charles R. Evans

A small mass \mu in orbit about a much more massive black hole M moves along a world line that deviates from a geodesic of the black hole geometry by O(\mu/M). This deviation is said to be caused by the gravitational self-force of the…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

We apply a new analytic scheme, developed in a preceding paper, in order to calculate the late time behavior of scalar test fields evolving outside a Schwarzschild black hole. The pattern of the late time decay at future null infinity is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack

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

The gravitational self-force has thus far been formulated in background spacetimes for which the metric is a solution to the Einstein field equations in vacuum. While this formulation is sufficient to describe the motion of a small object…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Peter Zimmerman , Eric Poisson

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

We extend the gravitational self-force methodology to identify and compute new $O(\mu)$ tidal invariants for a compact body of mass $\mu$ on a quasi-circular orbit about a black hole of mass $M \gg \mu$. In the octupolar sector we find…

General Relativity and Quantum Cosmology · Physics 2015-12-24 Patrick Nolan , Chris Kavanagh , Sam R Dolan , Adrian C Ottewill , Niels Warburton , Barry Wardell

We study scalar and electromagnetic perturbations of a family of nonsingular nonrotating black hole spacetimes that are solutions in a large class of conformally invariant theories of gravity. The effective potential for scalar…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Bobir Toshmatov , Cosimo Bambi , Bobomurat Ahmedov , Zdeněk Stuchlík , Jan Schee

We generalize to Kerr spacetime previous gravitational self-force results on gyroscope precession along circular orbits in the Schwarzschild spacetime. In particular we present high order post- Newtonian expansions for the gauge invariant…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Donato Bini , Thibault Damour , Andrea Geralico , Chris Kavanagh , Maarten van de Meent

We consider spin-orbit ("geodetic") precession for a compact binary in strong-field gravity. Specifically, we compute $\psi$, the ratio of the accumulated spin-precession and orbital angles over one radial period, for a spinning compact…

General Relativity and Quantum Cosmology · Physics 2017-03-31 Sarp Akcay , David Dempsey , Sam Dolan

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 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

We compute gravitational self-force corrections to tidal invariants for spinning particles moving along circular orbits in a Schwarzschild spacetime. In particular, we consider the square and the cube of the gravitoelectric quadrupolar…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Donato Bini , Andrea Geralico

Exploiting a rotating Schwarzschild black hole metric, we study hydrodynamic properties of perfect fluid whirling inward toward the black holes along a conical surface. On the equatorial plane of the rotating Schwarzschild black hole, we…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Soon-Tae Hong , Sung-Won Kim

Recently, an analytical study of radial and circular orbits for null and time-like geodesics that propagate in the spacetime produced by a Schwarzschild black hole associated with cloud of strings, in a universe filled by quintessence, has…

General Relativity and Quantum Cosmology · Physics 2022-07-26 Mohsen Fathi , Marco Olivares , J. R. Villanueva

We present numerical evidences for the existence of rotating black hole solutions in d-dimensional Einstein-Maxwell theory with a cosmological constant and for $d$ odd. The metric used possesses $(d+1)/2$ Killing vectors and the solutions…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Y. Brihaye , T. Delsate

We numerically solve the inhomogeneous Zerilli-Moncrief and Regge-Wheeler equations in the time domain. We obtain the gravitational waveforms produced by a point-particle of mass $\mu$ traveling around a Schwarzschild black hole of mass M…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Karl Martel

We calculate the scalar self-force experienced by a scalar point-charge orbiting a Kerr black hole along $r\theta$-resonant geodesics. We use the self-force to calculate the averaged rate of change of the charge's orbital energy…

General Relativity and Quantum Cosmology · Physics 2022-09-27 Zachary Nasipak