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This review is concerned with the gravitational self-force acting on a mass particle in orbit around a large black hole. Renewed interest in this old problem is driven by the prospects of detecting gravitational waves from strongly…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Leor Barack

In this paper, we discuss the leading order correction to the equation of motion of the particle, which presumably describes the effect of gravitational radiation reaction. We derive the equation of motion in two different ways. The first…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

Gravitational perturbations of neutron stars and black holes are well known sources of gravitational radiation. If the compact object is immersed in or endowed with a magnetic field, the gravitational perturbations would couple to…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Hajime Sotani , Kostas D. Kokkotas , Pablo Laguna , Carlos F. Sopuerta

Accurate calculation of the gradual inspiral motion in an extreme mass-ratio binary system, in which a compact-object inspirals towards a supermassive black-hole requires calculation of the interaction between the compact-object and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eran Rosenthal

We consider the radiation reaction to the motion of a point-like particle of mass $m$ and specific spin $S$ traveling on a curved background. Assuming $S=O(Gm)$ and $Gm\ll L$ where $L$ is the length scale of the background curvature, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

[Abridged] This review surveys the theory of gravitational self-force in curved spacetime and its application to the gravitational two-body problem in the extreme-mass-ratio regime. We first lay the relevant formal foundation, describing…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Leor Barack , Adam Pound

The problem of determining the electromagnetic and gravitational ``self-force'' on a particle in a curved spacetime is investigated using an axiomatic approach. In the electromagnetic case, our key postulate is a ``comparison axiom'', which…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Theodore C. Quinn , Robert M. Wald

A point particle of mass $\mu$ moving on a geodesic creates a perturbation $h_{ab}$, of the spacetime metric $g_{ab}$, that diverges at the particle. Simple expressions are given for the singular $\mu/r$ part of $h_{ab}$ and its distortion…

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

A point particle of mass m moving on a geodesic creates a perturbation h, of the spacetime metric g, that diverges at the particle. Simple expressions are given for the singular m/r part of h and its quadrupole distortion caused by the…

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

We examine the corrections to the lowest order gravitational interactions of massive particles arising from gravitational radiative corrections. We show how the masslessness of the graviton and the gravitational self interactions imply the…

High Energy Physics - Theory · Physics 2014-11-18 Niels Emil Jannik Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein

Numerical relativity has recently yielded a plethora of results about kicks from spinning mergers which has, in turn, vastly increased our knowledge about the spin interactions of black hole systems. In this work we use black hole…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Yasushi Mino , Jeandrew Brink

When we calculate gravitational waveforms from extreme-mass-ratio inspirals (EMRIs) by metric perturbation, it is a common strategy to use the adiabatic approximation. Under that approximation, we first calculate the linear metric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino

On a particle moving with variable acceleration in the flat space-time affects the self-force due to outgoing radiation. The gravitational fields bring an additional contribution to self-force due to scattering waves on the curved…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Nail Khusnutdinov

The gravitational self-force has thus far been formulated in background spacetimes for which the metric is a solution to the Einstein field equations in vacuum. While this formulation is sufficient to describe the motion of a small object…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Peter Zimmerman , Eric Poisson

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…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Donato Bini , Andrea Geralico

We consider the modification of the formulas for black hole radiation, due to the self-gravitation of the radiation. This is done by truncating the coupled particle-hole system to a small set of modes, that are plausibly the most…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Per Kraus , Frank Wilczek

To trace the particle nature of dark matter (DM) from cosmic microwave background observations, we study the co-evolution of DM density perturbation and primordial metric perturbation during DM production. Solving the perturbative Einstein…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-11 Changhong Li

The influence of space-time torsion on gravitational interaction at cosmological and astrophysical scales is discussed within the framework of gauge gravitation theory in Riemann-Cartan space-time. It is shown that the interaction of the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 A. V. Minkevich

A spinning particle in the Schwarzschild spacetime deviates from geodesic behavior because of its spin. A spinless particle also deviates from geodesic behavior when a test radiation field is superimposed on the Schwarzschild background: in…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Donato Bini , Andrea Geralico

We investigate electromagnetic, gravitational, and plasma related perturbations to first order on homogeneous and hypersurface orthogonal locally rotationally symmetric (LRS) class II spacetimes. Due to the anisotropic nature of the studied…

General Relativity and Quantum Cosmology · Physics 2022-08-10 Philip Semrén
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