Rotating black hole and quintessence

Sushant G. Ghosh

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

paper

Rotating black hole and quintessence

arXiv:1512.05476 · doi:10.1140/epjc/s10052-016-4051-7

Abstract

We discuss spherically symmetric exact solutions of the Einstein equations for quintessential matter surrounding a black hole, which has an additional parameter ( $ω$ ) 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 $α = - e^{2} \neq = 0$ and $ω = 1/3$ , exactly as the Kerr$-$Newman black hole, and as the Kerr black hole when $α = 0$ . Interestingly, for a given value of parameter $ω$ , 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 $ω$ and so is the ergoregion.

14 pages, 3 figures, 3 tables, accepted for publication EPJC (Letter)

Rotating black hole and quintessence

Abstract

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