English

Critical escape velocity for a charged particle moving around a weakly magnetized Schwarzschild black hole

General Relativity and Quantum Cosmology 2016-11-04 v1 Cosmology and Nongalactic Astrophysics

Abstract

We discuss charged particles motion in a spacetime of a weakly magnetized static non-rotating black hole. We study under which conditions a charged particle originally revolving around the black hole at a circular orbit after being kicked by another particle or photon can escape to infinity. We determine the escape velocity for particles at the innermost stable circular orbits and discuss the properties of particles moving with near-critical velocity. We show that in a general case such a motion is chaotic.

Keywords

Cite

@article{arxiv.1301.4633,
  title  = {Critical escape velocity for a charged particle moving around a weakly magnetized Schwarzschild black hole},
  author = {A. M. Al Zahrani and Valeri P. Frolov and Andrey A. Shoom},
  journal= {arXiv preprint arXiv:1301.4633},
  year   = {2016}
}

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12 pages