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Title: Properties of the distorted Kerr black hole

Abstract

We investigate the properties of the ergoregion and the location of the curvature singularities for the Kerr black hole distorted by the gravitational field of external sources. The particular cases of quadrupole and octupole distortion are studied in detail. We also investigate the scalar curvature invariants of the horizon and compare their behaviour with the case of the isolated Kerr black hole. In a certain region of the parameter space the ergoregion consists of a compact region encompassing the horizon and a disconnected part extending to infinity. The curvature singularities in the domain of outer communication, when they exist, are always located on the boundary of the ergoregion. We present arguments that they do not lie on the compact ergosurface. For quadrupole distortion the compact ergoregion size is negatively correlated with the horizon angular momentum when the external sources are varied. For octupole distortion infinitely many ergoregion configurations can exist for a certain horizon angular momentum. For some special cases we can have J{sup 2}/M{sup 4} > 1 and yet avoid a naked singularity.

Authors:
;  [1]; ;  [2]
  1. Theoretical Physics Institute, Physics Department, University of Alberta, 4-181 CCIS, Edmonton, Alberta (Canada)
  2. Institut für Physik, Department of Physics, Carl von Ossietzky University of Oldenburg, D-26111 Oldenburg (Germany)
Publication Date:
OSTI Identifier:
22525148
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2015; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANGULAR MOMENTUM; BLACK HOLES; COMPARATIVE EVALUATIONS; GRAVITATIONAL FIELDS; KERR METRIC; OCTUPOLES; SCALARS; SINGULARITY; SPACE

Citation Formats

Abdolrahimi, Shohreh, Tzounis, Christos, Kunz, Jutta, and Nedkova, Petya, E-mail: abdolrah@ualberta.ca, E-mail: jutta.kunz@uni-oldenburg.de, E-mail: pnedkova@phys.uni-sofia.bg, E-mail: tzounis@ualberta.ca. Properties of the distorted Kerr black hole. United States: N. p., 2015. Web. doi:10.1088/1475-7516/2015/12/009.
Abdolrahimi, Shohreh, Tzounis, Christos, Kunz, Jutta, & Nedkova, Petya, E-mail: abdolrah@ualberta.ca, E-mail: jutta.kunz@uni-oldenburg.de, E-mail: pnedkova@phys.uni-sofia.bg, E-mail: tzounis@ualberta.ca. Properties of the distorted Kerr black hole. United States. doi:10.1088/1475-7516/2015/12/009.
Abdolrahimi, Shohreh, Tzounis, Christos, Kunz, Jutta, and Nedkova, Petya, E-mail: abdolrah@ualberta.ca, E-mail: jutta.kunz@uni-oldenburg.de, E-mail: pnedkova@phys.uni-sofia.bg, E-mail: tzounis@ualberta.ca. Tue . "Properties of the distorted Kerr black hole". United States. doi:10.1088/1475-7516/2015/12/009.
@article{osti_22525148,
title = {Properties of the distorted Kerr black hole},
author = {Abdolrahimi, Shohreh and Tzounis, Christos and Kunz, Jutta and Nedkova, Petya, E-mail: abdolrah@ualberta.ca, E-mail: jutta.kunz@uni-oldenburg.de, E-mail: pnedkova@phys.uni-sofia.bg, E-mail: tzounis@ualberta.ca},
abstractNote = {We investigate the properties of the ergoregion and the location of the curvature singularities for the Kerr black hole distorted by the gravitational field of external sources. The particular cases of quadrupole and octupole distortion are studied in detail. We also investigate the scalar curvature invariants of the horizon and compare their behaviour with the case of the isolated Kerr black hole. In a certain region of the parameter space the ergoregion consists of a compact region encompassing the horizon and a disconnected part extending to infinity. The curvature singularities in the domain of outer communication, when they exist, are always located on the boundary of the ergoregion. We present arguments that they do not lie on the compact ergosurface. For quadrupole distortion the compact ergoregion size is negatively correlated with the horizon angular momentum when the external sources are varied. For octupole distortion infinitely many ergoregion configurations can exist for a certain horizon angular momentum. For some special cases we can have J{sup 2}/M{sup 4} > 1 and yet avoid a naked singularity.},
doi = {10.1088/1475-7516/2015/12/009},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 12,
volume = 2015,
place = {United States},
year = {2015},
month = {12}
}