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Due to the growing capacity of gravitational-wave astronomy and black-hole imaging, we will soon be able to emphatically decide if astrophysical objects lurking in galactic centers are black holes. Sgr A*, one of the most prolific…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Kyriakos Destounis , Giulia Huez , Kostas D. Kokkotas

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

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

Gravitational spectroscopy - the measurement of the quasi-normal modes of a black hole from the ringdown signal of a binary black hole coalescence - is one of the most promising tools to test gravity in the strong-field, large-curvature…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Lorenzo Pierini , Leonardo Gualtieri

The exact solution to the Einstein equations that represents a static axially symmetric source deformed by an internal quadrupole is considered. By using the Poincare section method we numerically study the geodesic motion of test…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

With the goal of bringing theory, particularly numerical relativity, to bear on an astrophysical problem of critical interest to gravitational wave observers we introduce a model for coalescence radiation from binary black hole systems. We…

Astrophysics · Physics 2009-11-07 J. Baker , M. Campanelli , C. O. Lousto , R. Takahashi

Ultrarelativistic collisions of black holes are ideal gedanken experiments to study the nonlinearities of general relativity. In this paper we use semianalytical tools to better understand the nature of these collisions and the emitted…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Emanuele Berti , Vitor Cardoso , Tanja Hinderer , Madalena Lemos , Frans Pretorius , Ulrich Sperhake , Nicolas Yunes

We discuss the gravitational self-force on a particle in a black hole space-time. For a point particle, the full (bare) self-force diverges. The metric perturbation induced by a particle can be divided into two parts, the direct part (or…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Wataru Hikida , Hiroyuki Nakano , Misao Sasaki

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

A powerful technique to calculate gravitational radiation from binary systems involves a perturbative expansion: if the masses of the two bodies are very different, the "small" body is treated as a point particle of mass $m_p$ moving in the…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Enrico Barausse , Emanuele Berti , Vitor Cardoso , Scott A. Hughes , Gaurav Khanna

In this work, we obtain an expression for the total observational frequency shift of photons emitted by massive geodesic particles circularly orbiting a black hole in a general spherically symmetric background. Our general relations are…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Diego A. Martinez-Valera , Mehrab Momennia , Alfredo Herrera-Aguilar

Accurate calculation of the gradual inspiral motion in an extreme mass-ratio binary system, in which a compact-object inspirals towards a supermassive black-hole requires calculation of the interaction between the compact-object and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eran Rosenthal

A particle of mass $\mu$ moves on a circular orbit around a nonrotating black hole of mass $M$. Under the assumption $\mu \ll M$ the gravitational waves emitted by such a binary system can be calculated exactly numerically using black-hole…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric Poisson

We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kenneth A. Dennison , Thomas W. Baumgarte , Harald P. Pfeiffer

We study a simple analytic solution to Einstein's field equations describing a thin spherical shell consisting of collisionless particles in circular orbit. We then apply two independent criteria for the identification of circular orbits,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Monica L. Skoge , Thomas W. Baumgarte

Covariant structure of the self-force of a particle in a general curved background has been made clear in the cases of scalar [Quinn], electromagnetic [DeWittBrehme], and gravitational charges [QuinnWald]. Namely, what we need is the part…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Yasushi Mino , Hiroyuki Nakano , Misao Sasaki

We study some general properties of two black hole solutions in Einstein's conformal gravity. Both solutions can be obtained from the Kerr metric with a suitable conformal rescaling, which leads, respectively, to a regular and a singular…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Qiqi Zhang , Leonardo Modesto , Cosimo Bambi

We consider the motion of a particle in the geometry of a Schwarzschild-like black hole embedded in a dark matter (DM) halo with Dehnen type density profile and calculate the orbital periods along with the evolution of the semi-latus rectum…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Amjad Ashoorioon , Roberto Casadio , Khadije Jafarzade , Mohammad B. Jahani Poshteh , Orlando Luongo

The computation of gravitational radiation generated by the coalescence of inspiralling binary black holes is nowdays one of the main goals of numerical relativity. Perturbation theory has emerged as an ubiquitous tool for all those…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Manuela Campanelli

In order to derive the precise gravitational waveforms for extreme mass ratio inspirals (EMRI), we develop a formulation for the second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The…

General Relativity and Quantum Cosmology · Physics 2008-12-25 Carlos O. Lousto , Hiroyuki Nakano