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Motivated by gravitational wave observations of binary black hole mergers, we present a procedure to compute the leading order nonlinear gravitational wave interactions around a Kerr black hole. We describe the formalism used to derive the…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Nicholas Loutrel , Justin L. Ripley , Elena Giorgi , Frans Pretorius

Motivated by applications to the study of self-force effects in scalar-tensor theories of gravity, we calculate the self-force exerted on a scalar charge in a circular orbit about a Reissner-Nordstr\"{o}m black hole. We obtain the…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Jezreel Castillo , Ian Vega , Barry Wardell

A scalar charged particle moving in a curved background spacetime will emit a field affecting its own motion; the resolving of this resulting motion is often referred to as the self-force problem. This also serves as a toy model for the…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Anna Heffernan

We revisit the Kerr black hole as cast in the Boyer-Lindquist, Kerr-Schild and Weyl canonical coordinates, and calculate its total mass/energy and total angular momentum by using linearized gravity along with its background Killing…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Okan Günel , Özgür Sarıoğlu

We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from 10 scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Leor Barack , Carlos O. Lousto

A key source for LISA will be the inspiral of compact objects into supermassive black holes. Recently Mino has shown that in the adiabatic limit, gravitational waveforms for these sources can be computed using for the radiation reaction…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Eanna E. Flanagan , Scott A. Hughes

We investigate the extraction of rotational energy from rotating Einstein-Born-Infeld (EBI) black holes, where nonlinear electrodynamics introduces a radius-dependent effective charge modifying the spacetime geometry. Focusing on neutral…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Urooj Fatima , G. Abbas

Extreme mass-ratio inspirals (EMRIs) are expected to have considerable eccentricity when emitting gravitational waves (GWs) in the LISA band. Developing GW templates that remain phase accurate over these long inspirals requires the use of…

General Relativity and Quantum Cosmology · Physics 2023-10-25 Benjamin Leather , Niels Warburton

We demonstrate an extraordinary effect of energy gain by a single radiating charged particle inside the ergosphere of a Kerr black hole in presence of magnetic field. We solve numerically the covariant form of the Lorentz-Dirac equation…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Martin Kološ , Arman Tursunov , Zdeněk Stuchlík

By detecting gravitational wave signals from extreme mass ratio inspiraling sources (EMRIs) we will be given the opportunity to check our theoretical expectations regarding the nature of supermassive bodies that inhabit the central regions…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Georgios Lukes-Gerakopoulos , Theocharis A. Apostolatos , George Contopoulos

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

This short paper should serve as basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main new result is the proof of essential…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Horst R. Beyer

In this paper, we investigate the deflection of a charged particle moving in the equatorial plane of Kerr-Newman spacetime, focusing on weak field limit. To this end, we use the Jacobi geometry, which can be described in three equivalent…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Zonghai Li , Junji Jia

With a view to developing a formalism that will be applicable at second perturbative order, we devise a new practical scheme for computing the gravitational self-force experienced by a point mass moving in a curved background spacetime. Our…

General Relativity and Quantum Cosmology · Physics 2021-06-14 Barry Wardell , Niels Warburton

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

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

We provide a rigorous derivation of the precise late-time asymptotics for solutions to the scalar wave equation on subextremal Kerr backgrounds, including the asymptotics for projections to angular frequencies $\ell\geq 1$ and $\ell\geq 2$.…

General Relativity and Quantum Cosmology · Physics 2021-02-25 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

We numerically solve the Teukolsky equation in the time domain to obtain the gravitational-wave emission of a small mass inspiraling and plunging into the equatorial plane of a Kerr black hole. We account for the dissipation of orbital…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Andrea Taracchini , Alessandra Buonanno , Gaurav Khanna , Scott A. Hughes

Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations.…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Sam R. Dolan , Chris Kavanagh , Barry Wardell

We propose an approach for the calculation of self-forces, energy fluxes and waveforms arising from moving point charges in curved spacetimes. As opposed to mode-sum schemes that regularize the self-force derived from the singular retarded…

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