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We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a…

广义相对论与量子宇宙学 · 物理学 2020-08-05 Donato Bini , Andrea Geralico , Jan Steinhoff

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…

广义相对论与量子宇宙学 · 物理学 2022-05-04 Josh Mathews , Adam Pound , Barry Wardell

We consider the importance of the second-order dissipative self force for gravitational wave dephasing for an extreme or intermediate mass ratio system moving along a quasi-circular Schwarzschild orbit. For the first-order self force we use…

广义相对论与量子宇宙学 · 物理学 2013-07-12 Lior M. Burko , Gaurav Khanna

The first- and second-order dissipative self force and the first order conservative self force are applied together with spin-orbit coupling to the quasi-circular motion of a test mass in the spacetime of a Schwarzschild black hole, for…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Lior M. Burko , Gaurav Khanna

We present the first orbit-integrated self force effects for an IMRI or EMRI source, specifically the effects of its conservative piece on the orbit and on the waveform. We consider the quasi-circular motion of a particle in the spacetime…

广义相对论与量子宇宙学 · 物理学 2012-07-13 Lior M. Burko , Kristen A. Lackeos

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…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Leor Barack , Norichika Sago

Recently, two independent calculations have been presented of finite-mass ("self-force") effects on the orbit of a point mass around a Schwarzschild black hole. While both computations are based on the standard mode-sum method, they differ…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Norichika Sago , Leor Barack , Steven Detweiler

We present the first orbit-integrated self force effects on the gravitational waveform for an I(E)MRI source. We consider the quasi-circular motion of a particle in the spacetime of a Schwarzschild black hole and study the dependence of the…

广义相对论与量子宇宙学 · 物理学 2012-11-28 Kristen A. Lackeos , Lior M. Burko

We study tidal effects induced by a particle moving along a slightly eccentric equatorial orbits in a Schwarzschild spacetime within the gravitational self-force framework. We compute the first order (conservative) corrections in the…

广义相对论与量子宇宙学 · 物理学 2018-09-19 Donato Bini , Andrea Geralico

We analytically compute, through the six-and-a-half post-Newtonian order, the second-order-in-eccentricity piece of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in eccentric orbit around a Schwarzschild black…

广义相对论与量子宇宙学 · 物理学 2016-03-23 Donato Bini , Thibault Damour , Andrea Geralico

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…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Steven Detweiler

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…

广义相对论与量子宇宙学 · 物理学 2018-05-30 Donato Bini , Thibault Damour , Andrea Geralico

Comparing the corrections to Kepler's law with orbital evolution under a self force, we extract the finite, already regularized part of the latter in a specific gauge. We apply this method to a quasi-circular orbit around a Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Lior M. Burko

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,…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Leor Barack , Marta Colleoni , Thibault Damour , Soichiro Isoyama , Norichika Sago

This is the second of two companion papers on computing the self-force in a radiation gauge; more precisely, the method uses a radiation gauge for the radiative part of the metric perturbation, together with an arbitrarily chosen gauge for…

广义相对论与量子宇宙学 · 物理学 2011-03-22 Abhay Shah , Tobias Keidl , John Friedman , Dong-Hoon Kim , Larry Price

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…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Lior M. Burko

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…

广义相对论与量子宇宙学 · 物理学 2015-05-15 Leor Barack , Norichika Sago

We study the metric perturbations induced by a classical spinning particle moving along a circular orbit on a Schwarzschild background, limiting the analysis to effects which are first order in spin. The particle is assumed to move on the…

广义相对论与量子宇宙学 · 物理学 2018-05-23 Donato Bini , Thibault Damour , Andrea Geralico , Chris Kavanagh

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…

广义相对论与量子宇宙学 · 物理学 2015-01-27 Sam R. Dolan , Patrick Nolan , Adrian C. Ottewill , Niels Warburton , Barry Wardell

We consider Detweiler's redshift variable $z$ for a nonspinning mass $m_1$ in circular motion (with orbital frequency $\Omega$) around a nonspinning mass $m_2$. We show how the combination of effective-one-body (EOB) theory with the first…

广义相对论与量子宇宙学 · 物理学 2016-06-22 Donato Bini , Thibault Damour
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