scholarly journals Self-force driven motion in curved spacetime

2014 ◽  
Vol 11 (08) ◽  
pp. 1450072 ◽  
Author(s):  
Alessandro D. A. M. Spallicci ◽  
Patxi Ritter ◽  
Sofiane Aoudia
Keyword(s):  
Body Problem ◽  
Effective Field ◽  
The Self ◽  
Covariant Form ◽  
Mass Ratio ◽  
Curved Spacetime ◽  
Perturbative Correction ◽  
First Order ◽  
Two Body Problem ◽  
Self Force

We adopt the Dirac–Detweiler–Whiting radiative and regular effective field in curved spacetime. Thereby, we derive straightforwardly the first order perturbative correction to the geodesic of the background in a covariant form, for the extreme mass ratio two-body problem. The correction contains the self-force contribution and a background metric-dependent term.

scholarly journals Hawking radiation as irreversible tunneling through self-interaction

2014 ◽  
Vol 29 (13) ◽  
pp. 1450065
Author(s):  
Wen-Yu Wen
Keyword(s):  
Black Holes ◽  
Upper Bound ◽  
Hawking Radiation ◽  
Irreversible Process ◽  
The Self ◽  
Mass Ratio ◽  
Tunneling Model ◽  
Charge Mass ◽  
Self Force

In this paper, we study the self-force in the Parikh–Wilczek tunneling model of Hawking radiation for Reissner–Nordström (RN) black holes. We conclude that the repulsive self-force speeds up the emission and the radiation becomes an irreversible process. We also find an upper bound of charge–mass ratio for emitted particles.

A self-force approach to the two-body problem: The Green function method

2016 ◽  
Vol 25 (09) ◽  
pp. 1641015
Author(s):  
Marc Casals
Keyword(s):  
Black Hole ◽  
Green Function ◽  
The Self ◽  
Massive Black Hole ◽  
Green Function Method ◽  
Two Body Problem ◽  
Black Hole Spacetime ◽  
Novel Method ◽  
The Green Function ◽  
Self Force

The inspiral of a stellar-mass astrophysical object into a massive black hole may be modeled within perturbation theory of General Relativity via the so-called self-force. In this paper, we present a novel method for the calculation of the self-force which is based on the Green function (GF) of the wave equation satisfied by the field created by the smaller object. We review the results in [M. Casals, S. Dolan, A. C. Ottewill and B. Wardell, Phys. Rev. D 88 (2013) 044022; B. Wardell, C. R. Galley, A. Zenginoğlu, M. Casals, S. R. Dolan and A. C. Ottewill, Phys. Rev. D 89 (2014) 084021] on the GF and the self-force on a scalar charge (as a model for the gravitational case) moving on a Schwarzschild black hole spacetime. This GF method offers an appealing geometrical insight into the origin of the self-force and is a promising candidate for practical self-force calculations.

scholarly journals On the electromagnetic two-body problem

1940 ◽  
Vol 177 (968) ◽  
pp. 118-139 ◽  
Keyword(s):  
Body Problem ◽  
Ponderomotive Force ◽  
Kepler Problem ◽  
Mass Ratio ◽  
Two Body Problem ◽  
Rates Of Change ◽  
The Masses ◽  
Principal Parts ◽  
Usual Formula ◽  
Direct Attack

The paper contains a direct attack on the electromagnetic two-body problem, based on the hypotheses (i) that the bodies are particles, (ii) that the fields are given by the retarded potential, (iii) that the force on a particle is the Lorentz ponderomotive force (without a radiation term). A method of successive approximation leading to an exact solution is outlined. General expressions are found for the rates of change of invariant quantities Which are the constants of energy and angular momentum in the Kepler problem, and formulae are developed for the principal parts of these expressions in the case where the ratio of the masses of the two particles is small. This is applied in detail to the case where the orbit of the light particle is approximately circular. It is found that energy disappears from the motion, so that the orbital particle slowly spirals in, but the rate at which this occurs is much less than that given by the usual formula for radiation from an accelerated electron. Except in some final calculations, no assumption of small velocity is made, the sole basis of approximation being the smallness of the mass-ratio.

Supermassive black holes

2018 ◽  
Author(s):  
Michele Maggiore
Keyword(s):  
Black Holes ◽  
Gravitational Waves ◽  
Galaxy Formation ◽  
The Self ◽  
Mass Ratio ◽  
Pulsar Timing ◽  
Galaxy Formation And Evolution ◽  
Formation And Evolution ◽  
Stochastic Backgrounds ◽  
Self Force

The supermassive BH at the center of our Galaxy. Formation and evolution of SMBH binaries. Perspective for detection with LISA. Extreme mass ratio inspirals (EMRIs). Computation of the EMRI’s waveform with the self-force approach. Stochastic backgrounds of gravitational waves produced by SMBH binaries. Perspective for detection at pulsar timing arrays

scholarly journals Krein Stability in the Disturbed Two-Body Problem

1992 ◽  
Vol 152 ◽  
pp. 369-374
Author(s):  
R. R. Cordeiro ◽  
R. Vieira Martins
Keyword(s):  
Small Parameter ◽  
Integrable Systems ◽  
Body Problem ◽  
Major Axis ◽  
Semi Major Axis ◽  
First Order ◽  
Two Body Problem

We present a method for the study of the Krein signature in perturbed Hamiltonian integrable systems. The method is developed up to first order in the small parameter. We apply this method to a particular instance of the two-body problem in which the semi-major axis is not affected by the perturbation.

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