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Extreme mass ratio inspirals (EMRIs) -- systems with a compact object orbiting a much more massive (e.g., galactic center) black hole -- are of interest both as a new probe of the environments of galactic nuclei, and their waveforms are a…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Makana Silva , Christopher Hirata

Much of the success of gravitational-wave astronomy rests on perturbation theory. Historically, perturbative analysis of gravitational-wave sources has largely focused on post-Newtonian theory. However, strong-field perturbation theory is…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Adam Pound , Barry Wardell

We present an original approach to compute the electromagnetic self-force acting on a static charge in Kerr spacetime. Our approach is based on an improved version of the Janis-Newman algorithm and extends its range of applicability. It…

General Relativity and Quantum Cosmology · Physics 2018-10-10 Matteo Broccoli , Adriano Viganò

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

Calculations of the gravitational self-force (GSF) in curved spacetime require as input the metric perturbation in a sufficiently regular gauge. A basic challenge in the program to compute the GSF for orbits around a Kerr black hole is that…

General Relativity and Quantum Cosmology · Physics 2014-01-21 Adam Pound , Cesar Merlin , Leor Barack

Considering the self force and radiation due to a small body in orbit (especially aperiodic) around a black hole, this paper defines a decomposition of the source into a sum over the shape preserving periodic motions of extended objects…

General Relativity and Quantum Cosmology · Physics 2013-08-02 Barak Kol

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

Vacuum perturbations of the Kerr metric can be reconstructed from the corresponding perturbation in either of the two Weyl scalars $\psi_0$ or $\psi_4$, using a procedure described by Chrzanowski and others in the 1970s. More recent work,…

General Relativity and Quantum Cosmology · Physics 2016-12-06 Cesar Merlin , Amos Ori , Leor Barack , Adam Pound , Maarten van de Meent

We revisit the problem of computing the self-force on a scalar charge moving along an eccentric geodesic orbit around a Schwarzschild black hole. This work extends previous scalar self-force calculations for circular orbits, which were…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Ian Vega , Barry Wardell , Peter Diener , Samuel Cupp , Roland Haas

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 derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\{ \phi \left( r, \theta \right)$, $\ t \left( r, \theta \right),\ r \left( \theta \right) \}$, around a Kerr black hole by…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Prerna Rana , A. Mangalam

In this series we construct an effective field theory (EFT) in curved spacetime to study gravitational radiation and backreaction effects. We begin in this paper with a derivation of the self-force on a compact object moving in the…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Chad R. Galley , B. L. Hu

Extreme mass ratio inspirals (EMRIs) are excellent sources for space-based observatories to explore the properties of black holes and test no-hair theorems. We consider EMRIs with a charged compact object inspiralling onto a Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Chao Zhang , Hong Guo , Yungui Gong , Bin Wang

We report development of a code to calculate the scalar self-force on a scalar-charged particle moving on generic bound orbits in the Kerr spacetime. The scalar self-force model allows rapid development of computational techniques relevant…

General Relativity and Quantum Cosmology · Physics 2019-09-17 Zachary Nasipak , Thomas Osburn , Charles R. Evans

In this, the first of two companion papers, we present a method for finding the gravitational self-force in a modified radiation gauge for a particle moving on a geodesic in a Schwarzschild or Kerr spacetime. An extension of an earlier…

General Relativity and Quantum Cosmology · Physics 2014-10-23 Tobias S. Keidl , Abhay G. Shah , John L. Friedman , Dong-Hoon Kim , Larry R. Price

We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Donato Bini , Andrea Geralico

We compute the electromagnetic self-force acting on a charged particle held in place at a fixed position r outside a five-dimensional black hole described by the Schwarzschild-Tangherlini metric. Using a spherical-harmonic decomposition of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Matthew J. S. Beach , Eric Poisson , Bernhard G. Nickel

We present the analytical solutions for the trajectories of particles that spiral and plunge inward the event horizon along the timelike geodesics following general non-equatorial paths within Kerr-Newman spacetimes. Our studies encompass…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Yu-Chung Ko , Da-Shin Lee , Chi-Yong Lin

One of the primary aims of upcoming space-borne gravitational wave detectors is to measure radiation in the mHz range from extreme-mass-ratio inspirals. Such a detection would place strong constraints on hypothetical departures from a Kerr…

General Relativity and Quantum Cosmology · Physics 2020-09-17 Kyriakos Destounis , Arthur G. Suvorov , Kostas D. Kokkotas

We introduce a new time-domain method for computing the self-force acting on a scalar particle in a Schwarzschild geometry. The principal feature of our method consists in the division of the spatial domain into several subdomains and…

General Relativity and Quantum Cosmology · Physics 2010-01-27 Priscilla Canizares , Carlos F. Sopuerta