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We present a practical method for calculating the local gravitational self-force (often called ``radiation-reaction force'') for a pointlike particle orbiting a Schwarzschild black hole. This is an implementation of the method of {\it…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Leor Barack , Yasushi Mino , Hiroyuki Nakano , Amos Ori , Misao Sasaki

We calculate the self force acting on a scalar particle which is falling radially into a Schwarzschild black hole. We treat the particle's self-field as a linear perturbation over the fixed Schwarzschild background. The force is calculated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack , Lior M. Burko

We present a method for calculating the self-force (the ``radiation reaction force'') acting on a charged particle moving in a strong field orbit in black hole spacetime. In this approach, one first calculates the contribution to the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Leor Barack , Amos Ori

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

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 propose a practical scheme for calculating the local gravitational self-force experienced by a test mass particle moving in a black hole spacetime. The method---equally effective for either weak or strong field orbits---employs the {\em…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack

We present a practical method for calculating the gravitational self-force, as well as the electromagnetic and scalar self forces, for a particle in a generic orbit around a Kerr black hole. In particular, we provide the values of all the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack , Amos Ori

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

Recently, we proposed a method for calculating the ``radiation reaction'' self-force exerted on a charged particle moving in a strong field orbit in a black hole spacetime. In this approach, one first calculates the contribution to the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Leor Barack

We formulate a new method to calculate the gravitational reaction force on a particle of mass $\mu$ orbiting a massive black hole of mass $M$. In this formalism, the tail part of the retarded Green function, which is responsible for the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Hiroyuki Nakano , Misao Sasaki

We obtain all ``regularization parameters'' (RP) needed for calculating the gravitational and electromagnetic self forces for an arbitrary geodesic orbit around a Schwarzschild black hole. These RP values are required for implementing the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack , Amos Ori

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

A particle in the vicinity of a Schwarzschild black hole is known to trace a geodesic of the Schwarzschild background, to a first approximation. If the interaction of the particle with its own field (scalar, electromagnetic or…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Eirini Messaritaki

We study the self force acting on a scalar charge in uniform circular motion around a Schwarzschild black hole. The analysis is based on a direct calculation of the self force via mode decomposition, and on a regularization procedure based…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Lior M. Burko

We compute, at the first self force accuracy level, the radiated energy from a radially infalling particle released from rest in a Schwarzschild spacetime. We examine both the cases of a scalar particle and that of a massive particle, in…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Donato Bini , Giorgio Di Russo

The computation of the gravitational radiation emitted by a particle falling into a Schwarzschild black hole is a classic problem studied already in the 1970s. Here we present a detailed numerical analysis of the case of radial infall…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Ermis Mitsou

Covariant structure of the self-force of a particle in a general curved background has been made clear in the cases of scalar [Quinn], electromagnetic [DeWittBrehme], and gravitational charges [QuinnWald]. Namely, what we need is the part…

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

[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

We calculate the self-force acting on a particle with scalar charge moving on a generic geodesic around a Schwarzschild black hole. This calculation requires an accurate computation of the retarded scalar field produced by the moving…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roland Haas

We present a new, simple method for calculating the scalar, electromagnetic, and gravitational self forces acting on particles in orbit around a Kerr black hole. The standard ``mode-sum regularization'' approach for self-force calculations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leor Barack , Darren A. Golbourn , Norichika Sago
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