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Related papers: Tidal invariants for compact binaries on quasi-cir…

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We present results from calculations of the orbital evolution in eccentric binaries of nonrotating black holes with extreme mass-ratios. Our inspiral model is based on the method of osculating geodesics, and is the first to incorporate the…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Niels Warburton , Sarp Akcay , Leor Barack , Jonathan R. Gair , Norichika Sago

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 present a semi-analytic study of the equilibrium models of close binary systems containing a fluid star (mass $m$ and radius $R_0$) and a Kerr black hole (mass $M$) in circular orbit. We consider the limit $M\gg m$ where spacetime is…

Astrophysics · Physics 2016-08-30 Paul Wiggins , Dong Lai

The innermost stable circular orbit (ISCO) of a test particle around a Schwarzschild black hole of mass $M$ has (areal) radius $r_{\rm isco}= 6M G/c^2$. If the particle is endowed with mass $\mu(\ll M)$, it experiences a gravitational…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Leor Barack , Norichika Sago

Since the work of Hartle in the 1970s, and the subsequent development of the the Membrane Paradigm approach to black hole physics it has been widely accepted that superradiant scattering of gravitational waves bears strong similarities with…

General Relativity and Quantum Cosmology · Physics 2015-06-18 K. Glampedakis , S. J. Kapadia , D. Kennefick

Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-body problem in general relativity, as well as for their importance as sources of low-frequency gravitational waves. At lowest order, the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Lisa V. Drummond , Scott A. Hughes

We derive a geometrical version of the Regge-Wheeler and Zerilli equations, which allows us to study gravitational perturbations on an arbitrary spherically symmetric slicing of a Schwarzschild black hole. We explain how to obtain the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Olivier Sarbach , Manuel Tiglio

We present general relativistic hydrodynamics simulations of constant specific angular momentum tori orbiting a Schwarzschild black hole. These tori are expected to form as a result of stellar gravitational collapse, binary neutron star…

General Relativity and Quantum Cosmology · Physics 2008-11-26 O. Zanotti , L. Rezzolla , J. A. Font

We construct the external metric of a slowly rotating, tidally deformed material body in general relativity. The tidal forces acting on the body are assumed to be weak and to vary slowly with time, and the metric is obtained as a…

General Relativity and Quantum Cosmology · Physics 2015-08-03 Philippe Landry , Eric Poisson

We extend our research on the energy flux and waveform characteristics of gravitational waves generated by merging nonspinning binary black holes through self-consistent effective one-body theory \cite{L2023} to include binary systems with…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Weike Deng , Sheng Long , Jiliang Jing

We derive the tensor gravitational waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to second post-Newtonian order…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Ryan N. Lang

Here we consider two phenomena in the vicinity of a black hole deformed by the tidal gravitational force of surrounding matter and by a strong magnetic field: equatorial motion of charged particles and the decay of a test scalar field. We…

General Relativity and Quantum Cosmology · Physics 2015-03-20 R. A. Konoplya , Yu-Chun Liu

It is now possible to compute linear in mass-ratio terms in the post-Newtonian (PN) expansion for compact binaries to very high orders using black hole perturbation theory applied to various invariants. For instance, a computation of the…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Nathan K. Johnson-McDaniel , Abhay G. Shah , Bernard F. Whiting

Gravitational waves from the inspiral of a stellar-size black hole to a supermassive black hole can be accurately approximated by a point particle moving in a Kerr background. This paper presents progress on finding the electromagnetic and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tobias S. Keidl , John L. Friedman , Alan G. Wiseman

We perform a suite of numerical simulations of tidal disruption events, using smoothed particle hydrodynamics, for a close binary system consisting of two low-mass white dwarfs, and an intermediate mass non-spinning black hole. The binary…

High Energy Astrophysical Phenomena · Physics 2026-04-30 Aryabrat Mahapatra , Adarsh Pandey , Pritam Banerjee , Tapobrata Sarkar

We present an expression for the gravitational self-force correction to the geodetic spin precession of a spinning compact object with small, but non-negligible mass in a bound, equatorial orbit around a Kerr black hole. We consider only…

General Relativity and Quantum Cosmology · Physics 2017-09-15 Sarp Akcay

The concept of regular black holes has gained attention in recent years, especially in the context of quantum gravity theories. In these theories, the existence of singularities is paradoxical as they represent a breakdown of the laws of…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Dhruv Arora , Parth Bambhaniya , Dipanjan Dey , Pankaj S. Joshi

Based upon the formalism recently developed by one of us (MS), we analytically perform the post-Newtonian expansion of gravitational waves from a test particle in circular orbit of radius $r_0$ around a Schwarzschild black hole of mass $M$.…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Hideyuki Tagoshi , Misao Sasaki

For a self-gravitating particle of mass \mu in orbit around a Kerr black hole of mass M >> \mu, we compute the O(\mu/M) shift in the frequency of the innermost stable circular equatorial orbit (ISCEO) due to the conservative piece of the…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Soichiro Isoyama , Leor Barack , Sam R. Dolan , Alexandre Le Tiec , Hiroyuki Nakano , Abhay G. Shah , Takahiro Tanaka , Niels Warburton

In this article, we investigate the gravitational field of a charged, non-vacuum, non-rotating, spherically symmetric body of mass $M$ assuming a static solution to the Einstein-Maxwell field equations. We demonstrate that the…

General Relativity and Quantum Cosmology · Physics 2024-04-16 Divyesh P. Viththani , Ashok B. Joshi , Tapobroto Bhanja , Pankaj S. Joshi