Extraction of energy from an extremal rotating electrovacuum black hole: Particle collisions in the equatorial plane

Filip Hejda, José P. S. Lemos, and Oleg B. Zaslavskii
Phys. Rev. D 105, 024014 – Published 4 January 2022

Abstract

The collisional Penrose process received much attention when Bañados, Silk, and West (BSW) pointed out the possibility of test-particle collisions with arbitrarily high center-of-mass energy in the vicinity of the horizon of an extremally rotating black hole. However, the energy that can be extracted from the black hole in this promising, if simplified, scenario, called the BSW effect, turned out to be subject to unconditional upper bounds. And although such bounds were not found for the electrostatic variant of the process, this version is also astrophysically unfeasible, since it requires a maximally charged black hole. In order to deal with these deficiencies, we revisit the unified version of the BSW effect concerning collisions of charged particles in the equatorial plane of a rotating electrovacuum black hole spacetime. Performing a general analysis of energy extraction through this process, we explain in detail how the seemingly incompatible limiting cases arise. Furthermore, we demonstrate that the unconditional upper bounds on the extracted energy are absent for arbitrarily small values of the black hole electric charge. Therefore, our setup represents an intriguing simplified model for possible highly energetic processes happening around astrophysical black holes, which may spin fast but can have only a tiny electric charge induced via interaction with an external magnetic field.

  • Figure
  • Received 7 September 2021
  • Accepted 4 October 2021

DOI:https://doi.org/10.1103/PhysRevD.105.024014

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Filip Hejda1,2,*, José P. S. Lemos2,†, and Oleg B. Zaslavskii3,4,‡

  • 1CEICO, Institute of Physics of the Czech Academy of Sciences, Na Slovance 1999/2, 182 21 Prague 8, Czech Republic
  • 2Centro de Astrofísica e Gravitação—CENTRA, Departamento de Física, Instituto Superior Técnico—IST, Universidade de Lisboa—UL, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal
  • 3Department of Physics and Technology, Kharkov V. N. Karazin National University, 4 Svoboda Square, Kharkov 61022, Ukraine
  • 4Institute of Mathematics and Mechanics, Kazan Federal University, 18 Kremlyovskaya Street, Kazan 420008, Russia

  • *hejdaf@fzu.cz
  • joselemos@ist.utl.pt
  • zaslav@ukr.net

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Issue

Vol. 105, Iss. 2 — 15 January 2022

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