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Kerr-AdS black holes and force-free magnetospheres

Xun Wang and Adam Ritz

  • Department of Physics and Astronomy, University of Victoria, Victoria, British Columbia, V8P 5C2 Canada

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Phys. Rev. D 89, 106011 – Published 28 May, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.106011

Abstract

We obtain analogs of the Blandford-Znajek split monopole solution for force-free magnetospheres around a slowly rotating Kerr-AdS black hole. For small black holes, we find an analytic solution to first order in the ratio of horizon radius to AdS scale, rH/l, which exhibits a radial Poynting flux and for rH/l→0 smoothly approaches the Blandford-Znajek configuration in an asymptotically flat Kerr background. However, for large Kerr-AdS black holes with rH/l>1, namely those for which the bulk black hole holographically describes the thermodynamics of a strongly interacting boundary field theory, the existence of a globally well-defined timelike Killing vector external to the horizon suggests the absence of energy extraction through the Blandford-Znajek process. In this regime, we find that at least for slow rotation the force-free solution still exists but exhibits a range of angular velocities for the field lines, corresponding to the freedom in the dual field theory to rotate a magnetic field through a neutral plasma. As a byproduct of this work, we also obtain an analytic solution for a rotating monopole magnetosphere in pure AdS, analogous to the Michel solution in flat space.

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Phys. Rev. D 89, 106011– Published 28 May, 2014
  • Received 11 March 2014

© 2014 American Physical Society

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