Radiation reaction of charged particles orbiting magnetized Schwarzschild black holeстатьяИсследовательская статья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 10 августа 2018 г.
Аннотация:In many astrophysically relevant situations radiation reaction force acting upon a charge can not
be neglected and the question arises about the location and stability of circular orbits in such regime. Motion of point charge with radiation reaction in flat spacetime is described by Lorenz-Dirac (LD) quation, while in curved spacetime – by DeWitt-Brehme (DWB) equation containing the Ricci term and the tail term. We show that for the motion of elementary particles in vacuum metrics the DWB
equation can be reduced to the covariant form of the LD equation which we use here. Generically,
the LD equation is plagued by runaway solutions, so we discuss computational ways to avoid this
problem in constructing numerical solutions. We also use the first iteration of the covariant LD
equation which is the covariant Landau-Lifshitz equation, comparing results of these two approaches
and showing smallness of the third-order Schott term in the ultrarelativistic case. We calculate the
corresponding energy and angular momentum loss of a particle and study the damping of charged
particle oscillations around an equilibrium radius. We find that depending on the orientation of the
Lorentz force, the oscillating charged particle either spirals down to the black hole, or stabilizes the circular orbit by decaying its oscillations. The later case leads to an interesting new result of shifting of the particle orbit outwards from the black hole. We also discuss the astrophysical relevance of thepresented approach and provide estimations of the main parameters of the model.
Subject headings: black hole physics, magnetic fields, radiation reaction