Rotating black hole and quintessence

Sushant G. Ghosh

doi:10.1140/epjc/s10052-016-4051-7

EPJ

Rotating black hole and quintessence

Sushant G. Ghosh¹^,2^*

¹ Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi, 110025, India
² Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag 54001, Durban, 4000, South Africa

Received: 23 December 2015
Accepted: 30 March 2016
Published online: 22 April 2016

Abstract

We discuss spherically symmetric exact solutions of the Einstein equations for quintessential matter surrounding a black hole, which has an additional parameter ( $\omega$ ) due to the quintessential matter, apart from the mass (M). In turn, we employ the Newman–Janis complex transformation to this spherical quintessence black hole solution and present a rotating counterpart that is identified, for $\alpha =-e^2 \ne 0$ and $\omega =1/3$ , exactly as the Kerr–Newman black hole, and as the Kerr black hole when $\alpha =0$ . Interestingly, for a given value of parameter $\omega$ , there exists a critical rotation parameter ( $a=a_{E}$ ), which corresponds to an extremal black hole with degenerate horizons, while for $a<a_{E}$ , it describes a non-extremal black hole with Cauchy and event horizons, and no black hole for $a>a_{E}$ . We find that the extremal value $$a_E$$

is also influenced by the parameter $\omega$ and so is the ergoregion.

4 Internat. Symposium of the History of Particle Physics
10-13 November, 2025
CERN, Geneva, Switzerland

EPJ

Rotating black hole and quintessence

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