Eur. Phys. J. C (2014) 74: 3016
https://doi.org/10.1140/epjc/s10052-014-3016-y

Regular Article - Theoretical Physics

Spinning higher dimensional Einstein–Yang–Mills black holes

¹ Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi, 110025, India
² Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of Kwa-Zulu-Natal, Private Bag 54001, Durban, 4000, South Africa

^* e-mail: uma.papnoi@gmail.com

Received: 13 March 2014
Accepted: 30 July 2014
Published online: 15 August 2014

Abstract

We construct a Kerr–Newman-like spacetime starting from higher dimensional (HD) Einstein–Yang–Mills black holes via complex transformations suggested by Newman–Janis. The new metrics are a HD generalization of Kerr–Newman spacetimes which has a geometry that is precisely that of Kerr–Newman in 4D corresponding to a Yang–Mills (YM) gauge charge, but the sign of the charge term gets flipped in the HD spacetimes. It is interesting to note that the gravitational contribution of the YM gauge charge, in HD, is indeed opposite (attractive rather than repulsive) to that of the Maxwell charge. The effect of the YM gauge charge on the structure and location of static limit surface and apparent horizon is discussed. We find that static limit surfaces become less prolate with increase in dimensions and are also sensitive to the YM gauge charge, thereby affecting the shape of the ergosphere. We also analyze some thermodynamical properties of these BHs.