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Charged rotating AdS black holes with Chern-Simons coupling

Mozhgan Mir1,2,* and Robert B. Mann1,†

  • 1Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 2School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

  • *mmir@ipm.ir
  • †rbmann@uwaterloo.ca
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Phys. Rev. D 95, 024005 – Published 4 January, 2017

DOI: https://doi.org/10.1103/PhysRevD.95.024005

Abstract

We obtain a perturbative solution for rotating charged black holes in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. We start from a small undeformed Kerr-AdS solution and use the electric charge as a perturbative parameter to build up black holes with equal-magnitude angular momenta up to fourth order. These black hole solutions are described by three parameters, the charge, horizon radius and horizon angular velocity. We determine the physical quantities of these black holes and study their dependence on the parameters of black holes and arbitrary Chern-Simons coefficient. In particular, for values of the CS coupling constant beyond its supergravity value, due to a rotational instability, counterrotating black holes arise. Also the rotating solutions appear to have vanishing angular momenta and are not manifest uniquely by their global charges.

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Phys. Rev. D 95, 024005– Published 4 January, 2017
  • Received 10 November 2016

© 2017 American Physical Society

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