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Related papers: Self force on a scalar charge in Kerr spacetime: e…

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Quasinormal modes characterize the final stage of a black hole merger. In this regime, spacetime curvature is high, these modes can be used to probe potential corrections to general relativity. In this paper, we utilize the effective field…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Filipe S. Miguel

Extreme-mass ratio inspirals (EMRIs), compact binaries with small mass ratios $\epsilon\ll 1$, will be important sources for low-frequency gravitational wave detectors. Almost all EMRIs will evolve through important transient orbital…

General Relativity and Quantum Cosmology · Physics 2021-10-05 Zachary Nasipak , Charles R. Evans

We develop an approach to calculate the self-force on a charged particle held in place in a curved spacetime, in which the particle is attached to a massless string and the force is measured by the string's tension. The calculation is based…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Michael LaHaye , Eric Poisson

This is the third in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a…

General Relativity and Quantum Cosmology · Physics 2013-05-13 Sam R. Dolan , Leor Barack

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

As a first step towards the calculation of waveform of Extreme Mass Ratio Inspirals for Modified Gravity theories, we calculate the orbital frequencies of a Small Compact Object inspiralling into a super massive blackhole for a Nonlocal…

General Relativity and Quantum Cosmology · Physics 2020-08-11 Avani Patel

We outline a method for calculating the self force (the "radiation reaction force") acting on a scalar particle in a strong field orbit in a Schwarzschild spacetime. In this method, the contribution to the self force associated with each…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Leor Barack , Amos Ori

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

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

We use the frequency and time domain Teukolsky formalism to calculate gravitational-wave fluxes from a spinning body on a bound eccentric equatorial orbit around a Kerr black hole. The spinning body is represented as a point particle…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Viktor Skoupý , Georgios Lukes-Gerakopoulos

We compute the linear metric perturbation to a Schwarzschild black hole generated by a spinning compact object, specialising to circular equatorial orbits with an (anti-)aligned spin vector. We derive a two-timescale expansion of the field…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Josh Mathews , Adam Pound , Barry Wardell

We present a family of analytic solutions for the nearly-equatorial motion of a test particle with precessing spin in Kerr spacetime. We solve the equations of motion up to linear order in the small body's spin for periodic and homoclinic…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Gabriel Andres Piovano

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force. Our model is based on an action angle formulation of the method of osculating geodesics for…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Philip Lynch , Maarten van de Meent , Niels Warburton

We consider the arbitrarily coupled field and self-force of a static massless scalar charge in cylindrical spacetimes with one or two asymptotic regions, with the only matter content concentrated in a thin-shell characterized by the trace…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Cecilia Tomasini , Emilio Rubín de Celis , Claudio Simeone

The motion of classical spinning test particles in the equatorial plane of a Kerr black hole is considered for the case where the particle spin is perpendicular to the equatorial plane. We review some results of our recent research of the…

General Relativity and Quantum Cosmology · Physics 2016-05-16 O. Yu. Tsupko , G. S. Bisnovatyi-Kogan , P. I. Jefremov

In this paper, we prove energy and Morawetz estimates for solutions to the scalar wave equation in spacetimes with metrics that are perturbations, compatible with nonlinear applications, of Kerr metrics in the full subextremal range.…

Analysis of PDEs · Mathematics 2026-03-26 Siyuan Ma , Jérémie Szeftel

A shared property of several of the known exact solutions to the equations of force-free electrodynamics is that their charge-current four-vector is \textit{null}. We examine the general properties of null-current solutions and then focus…

General Relativity and Quantum Cosmology · Physics 2015-06-16 T. Daniel Brennan , Samuel E. Gralla , Ted Jacobson

We consider the motion of charged and spinning bodies on the symmetry axis of a non-extremal Kerr-Newman black hole. If one treats the body as a test point particle of mass, $m$, charge $q$, and spin $S$, then by dropping the body into the…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Kristian Mackewicz , Robert M. Wald

The rotational energy of a Kerr black hole is often invoked as the free energy source that powers compact astrophysical systems An important question concerning the energy extraction mechanism is whether a Kerr black hole can communicate…

Astrophysics · Physics 2009-11-10 Amir Levinson

The electric charge on rotating black holes is calculated to be ~ BJ in the force-free configuration of Ghosh (2000), with a horizon flux of ~ BM^2. This charge is gravitationally weak for B ~ 10^{15} G, so that the Kerr metric applies.…

Astrophysics · Physics 2009-10-31 Hyun Kyu Lee , Chul H. Lee , Maurice H. P. M. van Putten