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This paper explores the dynamics of both neutral as well as charged particles orbiting near a rotating black hole in scalar-tensor-vector gravity. We study the conditions for the particle to escape at the innermost stable circular orbit. We…

General Relativity and Quantum Cosmology · Physics 2017-09-13 M. Sharif , Misbah Shahzadi

We derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\{ \phi \left( r, \theta \right)$, $\ t \left( r, \theta \right),\ r \left( \theta \right) \}$, around a Kerr black hole by…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Prerna Rana , A. Mangalam

We present a partial differential equation describing the electromagnetic potentials around a charge distribution undergoing rigid motion at constant proper acceleration, and obtain a set of solutions to this equation. These solutions are…

Classical Physics · Physics 2014-02-06 Andrew M. Steane

We present an algorithm for calculating the metric perturbations and gravitational self-force for extreme-mass-ratio inspirals (EMRIs) with eccentric orbits. The massive black hole is taken to be Schwarzschild and metric perturbations are…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Thomas Osburn , Erik Forseth , Charles Evans , Seth Hopper

We study the self forces acting on static scalar and electric test charges in the spacetime of a Schwarzschild black hole. The analysis is based on a direct, local calculation of the self forces via mode decomposition, and on two…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Lior M. Burko

We propose a practical scheme for calculating the local gravitational self-force experienced by a test mass particle moving in a black hole spacetime. The method---equally effective for either weak or strong field orbits---employs the {\em…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack

When a stellar-mass compact object is captured by a supermassive black hole located in a galactic centre, the system losses energy and angular momentum by the emission of gravitational waves. Subsequently, the stellar compact object evolves…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Priscilla Canizares , Carlos F. Sopuerta

We extend the Wald solution to a black hole that is also boosted. More specifically, we derive analytic solutions for the Maxwell equations for a rotating black hole moving at constant speed in an asymptotically uniform magnetic test field.…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Viktoriya S. Morozova , Luciano Rezzolla , Bobomurat J. Ahmedov

We formulate a Hamiltonian description of the orbital motion of a point particle in Kerr spacetime for generic (eccentric, inclined) orbits, which accounts for the effects of the conservative part of the gravitational self-force. This…

General Relativity and Quantum Cosmology · Physics 2017-06-12 Ryuichi Fujita , Soichiro Isoyama , Alexandre Le Tiec , Hiroyuki Nakano , Norichika Sago , Takahiro Tanaka

The description of the inspiral of a stellar-mass compact object into a massive black hole sitting at a galactic centre is a problem of major relevance for the future space-based gravitational-wave observatory LISA (Laser Interferometer…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Priscilla Canizares , Carlos F. Sopuerta

We write the electromagnetic self-force of a Lorentz-contractible spherical shell of radius $R$ in arbitrary rectilinear motion as a series expansion in powers of $R$, and calculate the first two terms of this series. The method we use,…

Classical Physics · Physics 2023-09-14 G. Vaman

Some active galactic nuclei, microquasars, and gamma ray bursts may be powered by the electromagnetic braking of a rapidly rotating black hole. We investigate this possibility via axisymmetric numerical simulations of a black hole…

Astrophysics · Physics 2008-11-26 Jonathan C. McKinney , Charles F. Gammie

A compact object moving in curved spacetime interacts with its own gravitational field. This leads to both dissipative and conservative corrections to the motion, which can be interpreted as a self-force acting on the object. The original…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Barry Wardell , Chad R. Galley , Anil Zenginoglu , Marc Casals , Sam R. Dolan , Adrian C. Ottewill

We investigate the use of the Gegenbauer procedure for time-domain reconstruction in frequency-domain calculations of the self-force on a particle orbiting a black hole. The conventional technique relies on the so-called method of extended…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Christopher Whittall , Leor Barack , Oliver Long

Recently, two independent calculations have been presented of finite-mass ("self-force") effects on the orbit of a point mass around a Schwarzschild black hole. While both computations are based on the standard mode-sum method, they differ…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Norichika Sago , Leor Barack , Steven Detweiler

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

Post-adiabatic models of extreme- and intermediate-mass-ratio inspirals will require calculations of second-order gravitational self-force effects in the spacetime of a spinning, Kerr black hole. We take a step toward such calculations by…

General Relativity and Quantum Cosmology · Physics 2024-11-04 Patrick Bourg , Benjamin Leather , Marc Casals , Adam Pound , Barry Wardell

We present the first orbit-integrated self force effects on the gravitational waveform for an I(E)MRI source. We consider the quasi-circular motion of a particle in the spacetime of a Schwarzschild black hole and study the dependence of the…

General Relativity and Quantum Cosmology · Physics 2012-11-28 Kristen A. Lackeos , Lior M. Burko

We calculate the self force acting on a scalar particle which is falling radially into a Schwarzschild black hole. We treat the particle's self-field as a linear perturbation over the fixed Schwarzschild background. The force is calculated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack , Lior M. Burko

We examine the dynamics of a neutral particle around a Kerr-Newman black hole, and in particular focus on the effects of the charge of the spinning black hole on the motion of the particle. We first consider the innermost stable circular…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Chen-Yu Liu , Da-Shin Lee , Chi-Yong Lin