https://doi.org/10.1140/epjc/s10052-016-4051-7
Letter
Rotating black hole and quintessence
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
* e-mail: sgghosh@gmail.com
** e-mail: sghosh2@jmi.ac.in
Received:
23
December
2015
Accepted:
30
March
2016
Published online:
22
April
2016
We discuss spherically symmetric exact solutions of the Einstein equations for quintessential matter surrounding a black hole, which has an additional parameter (
) 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 
and 
, exactly as the Kerr–Newman black hole, and as the Kerr black hole when 
. Interestingly, for a given value of parameter , there exists a critical rotation parameter (
), which corresponds to an extremal black hole with degenerate horizons, while for 
, it describes a non-extremal black hole with Cauchy and event horizons, and no black hole for 
. We find that the extremal value 
is also influenced by the parameter and so is the ergoregion.
© The Author(s), 2016
