This article is cited in 6 papers

High energy physics in the vicinity of rotating black holes

A. A. Grib^ab, Yu. V. Pavlov<sup>bc

a</sup> Herzen State Pedagogical University of Russia, St. Petersburg, Russia
^b Friedmann Laboratory for Theoretical Physics, St. Petersburg, Russia
^c Institute of Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia

Abstract: We consider particle collisions in the vicinity of the horizon of rotating black holes. We show that the existence of geodesics for both massive and massless particles coming from inside the gravitational radius leads to different possibilities for an unboundedly high collision energy to appear in the center-of-mass frame of two particles. We give a classification of such geodesics in the general case based on a proved theorem for extremal spherical orbits. We analyze the case of the unbounded energy increase in the situation where one (critical) particle moves along the "white hole" geodesic with an angular momentum close to the bound while the other particle falls along an ordinary geodesic and the case of an unbounded negative angular momentum of the first particle.

Keywords: black hole, Kerr metric, particle collision, geodesic.

DOI: 10.4213/tmf8910

 English version: Theoretical and Mathematical Physics, 2015, 185:1, 1425–1432

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