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For a particle of mass mu and scalar charge q, we compute the effects of the scalar field self-force upon circular orbits, upon slightly eccentric orbits and upon the innermost stable circular orbit of a Schwarzschild black hole of mass M.…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luz Maria Diaz-Rivera , Eirini Messaritaki , Bernard F. Whiting , Steven Detweiler

We calculate the effect of self-interaction on the "geodetic" spin precession of a compact body in a strong-field orbit around a black hole. Specifically, we consider the spin precession angle $\psi$ per radian of orbital revolution for a…

General Relativity and Quantum Cosmology · Physics 2014-03-10 Sam R. Dolan , Niels Warburton , Abraham I. Harte , Alexandre Le Tiec , Barry Wardell , Leor Barack

We consider the evolution of the orbit of a spinning compact object in a quasi-circular, planar orbit around a Schwarzschild black hole in the extreme mass ratio limit. We compare the contributions to the orbital evolution of both…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lior M. Burko

We calculate the self-force acting on a charged particle on a circular geodesic orbit in the equatorial plane of a rotating black hole. We show by direct calculation that the dissipative self-force balances with the sum of the flux radiated…

General Relativity and Quantum Cosmology · Physics 2022-07-19 T. Torres , S. R. Dolan

We search for self-gravitating oscillating field lumps (pulsons) in the scalar model with logarithmic potential. With the use of a Krylov-Bogoliubov-type asymptotic expansion in the gravitational constant, the pulson solutions of the…

High Energy Physics - Phenomenology · Physics 2011-06-28 Vladimir A. Koutvitsky , Eugene M. Maslov

Gravitational-wave parameter estimation is only as good as the theory the waveform generation models are based upon. It is therefore crucial to test General Relativity (GR) once data becomes available. Many previous works, such as studies…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Cédric Huwyler , Edward K. Porter , Philippe Jetzer

In this work, we analytically investigate the effects of the scalar self-force exerted by a massless scalar field on a particle in a slightly eccentric orbit around a Schwarzschild black hole. By solving the Klein-Gordon equation in the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Salvatore Capozziello , Nicola Menadeo , Davide Usseglio

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

Phase space method provides a novel way for deducing qualitative features of nonlinear differential equations without actually solving them. The method is applied here for analyzing stability of circular orbits of test particles in various…

General Relativity and Quantum Cosmology · Physics 2009-11-13 A. Palit , A. Panchenko , N. G. Migranov , A. Bhadra , K. K. Nandi

In a previous paper, based on the black hole perturbation approach, we formulated a new analytical method for regularizing the self-force acting on a particle of small mass $\mu$ orbiting a Schwarzschild black hole of mass $M$, where…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Wataru Hikida , Sanjay Jhingan , Hiroyuki Nakano , Norichika Sago , Misao Sasaki , Takahiro Tanaka

We present a method to integrate the equations of motion that govern bound, accelerated orbits in Schwarzschild spacetime. At each instant the true worldline is assumed to lie tangent to a reference geodesic, called an osculating orbit,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adam Pound , Eric Poisson

We study the hydrodynamic self-similar mass collapses of general polytropic (GP) spherical clouds to central Schwarzschild black holes and void evolution with or without shocks. In order to grossly capture characteristic effects of general…

Solar and Stellar Astrophysics · Physics 2014-03-04 Biao Lian , Yu-Qing Lou

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

We calculate the unregularized monopole and dipole contributions to the self-force acting on a particle of small mass in a circular orbit around a Schwarzschild black hole. From a self-force point of view, these non-radiating modes are as…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steve Detweiler , Eric Poisson

Gravitational-wave analyses depend heavily on waveforms that model the evolution of compact binary coalescences as seen by observing detectors. In many cases these waveforms are given by waveform approximants, models that approximate the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Quirijn Meijer , Sarah Caudill

We compute the conservative piece of the gravitational self-force (GSF) acting on a particle of mass m_1 as it moves along an (unstable) circular geodesic orbit between the innermost stable circular orbit (ISCO) and the light ring of a…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Sarp Akcay , Leor Barack , Thibault Damour , Norichika Sago

We present work in progress to craft open-sourced numerical tools that will enable the calculation of electromagnetic counterparts to gravitational waveforms: the {\tt GiRaFFE} (General Relativistic Force-Free Electrodynamics) code. {\tt…

General Relativity and Quantum Cosmology · Physics 2019-01-23 Maria C. Babiuc Hamilton

Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical,…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Adam Pound , Barry Wardell , Niels Warburton , Jeremy Miller

The computation of the gravitational radiation emitted by a particle falling into a Schwarzschild black hole is a classic problem studied already in the 1970s. Here we present a detailed numerical analysis of the case of radial infall…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Ermis Mitsou

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii