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Related papers: Gravitational self-torque and spin precession in c…

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We consider spin-orbit ("geodetic") precession for a compact binary in strong-field gravity. Specifically, we compute $\psi$, the ratio of the accumulated spin-precession and orbital angles over one radial period, for a spinning compact…

General Relativity and Quantum Cosmology · Physics 2017-03-31 Sarp Akcay , David Dempsey , Sam Dolan

The (first-order) gravitational self-force correction to the spin-orbit precession of a spinning compact body along a slightly eccentric orbit around a Schwarzschild black hole is computed through the ninth post-Newtonian order, improving…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Donato Bini , Thibault Damour , Andrea Geralico

In this work we present an analytical gravitational self-force calculation of the spin-orbit precession along an eccentric orbit around a Schwarzschild black hole, following closely the recent prescription of Akcay, Dempsey, and Dolan. We…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Chris Kavanagh , Donato Bini , Thibault Damour , Seth Hopper , Adrian C. Ottewill , Barry Wardell

We study conservative finite-mass corrections to the motion of a particle in a bound (eccentric) strong-field orbit around a Schwarzschild black hole. We assume the particle's mass $\mu$ is much smaller than the black hole mass $M$, and…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Leor Barack , Norichika Sago

We extend the gravitational self-force approach to encompass `self-interaction' tidal effects for a compact body of mass $\mu$ on a quasi-circular orbit around a black hole of mass $M \gg \mu$. Specifically, we define and calculate at…

General Relativity and Quantum Cosmology · Physics 2015-01-27 Sam R. Dolan , Patrick Nolan , Adrian C. Ottewill , Niels Warburton , Barry Wardell

We calculate the gravitational self force acting on a pointlike particle of mass $\mu$, set in a circular geodesic orbit around a Schwarzschild black hole. Our calculation is done in the Lorenz gauge: For given orbital radius, we first…

General Relativity and Quantum Cosmology · Physics 2010-08-30 Leor Barack , Norichika Sago

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

Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two non-spinning compact objects moving on circular orbits with frequency Omega, at leading order beyond the test-particle…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Alexandre Le Tiec , Enrico Barausse , Alessandra Buonanno

A small mass \mu in orbit about a much more massive black hole M moves along a world line that deviates from a geodesic of the black hole geometry by O(\mu/M). This deviation is said to be caused by the gravitational self-force of the…

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

Binary systems of compact objects in close orbit around a supermassive black hole (SMBH) may form in galactic nuclei, providing a unique environment to probe strong-gravity tidal effects on the binary's dynamics. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Marta Cocco , Gianluca Grignani , Troels Harmark , Marta Orselli , Daniele Pica

We analytically compute, to linear order in the mass-ratio, the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body to the eight-and-a-half post-Newtonian order, thereby extending previous…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Donato Bini , Thibault Damour

Motivated by the search for gravitational waves emitted by binary black holes, we investigate the gravitational radiation field of point particles with spins within the framework of the multipolar-post-Newtonian wave generation formalism.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Alessandra Buonanno , Guillaume Faye

For a Schwarzchild black hole of mass $M$, we consider a test particle falling from rest at infinity and becoming trapped, at late time, on the unstable circular orbit of radius $r=4GM/c^2$. When the particle is endowed with a small mass,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Leor Barack , Marta Colleoni , Thibault Damour , Soichiro Isoyama , Norichika Sago

We consider the evolution of the orbit of a spinning compact object in a quasi-circular, planar orbit around a Schwarzschild black hole in the extreme mass ratio limit. We compare the contributions to the orbital evolution of both…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lior M. Burko

Gravitational waves from spin-precessing binaries exhibit amplitude oscillations that provide an invaluable method to extract the spins of the inspiraling compact objects. The spin-spin and spin-orbit interactions that cause this effect are…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Nicholas Loutrel , Takahiro Tanaka , Nicolas Yunes

We present a numerical code for calculating the local gravitational self-force acting on a pointlike particle in a generic (bound) geodesic orbit around a Schwarzschild black hole. The calculation is carried out in the Lorenz gauge: For a…

General Relativity and Quantum Cosmology · Physics 2015-05-15 Leor Barack , Norichika Sago

We derive the equations of motion of spinning compact binaries including the spin-orbit (SO) coupling terms one post-Newtonian (PN) order beyond the leading-order effect. For black holes maximally spinning this corresponds to 2.5PN order.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Guillaume Faye , Luc Blanchet , Alessandra Buonanno

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

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical,…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Adam Pound , Barry Wardell , Niels Warburton , Jeremy Miller
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