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Cosmological rotating black holes in five-dimensional fake supergravity

Masato Nozawa1,* and Kei-ichi Maeda1,2,†

  • 1Department of Physics, Waseda University, Okubo 3-4-1, Shinjuku, Tokyo 169-8555, Japan
  • 2Waseda Research Institute for Science and Engineering, Okubo 3-4-1, Shinjuku, Tokyo 169-8555, Japan

  • *nozawa@gravity.phys.waseda.ac.jp
  • †maeda@waseda.jp
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Phys. Rev. D 83, 024018 – Published 14 January, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.024018

Abstract

In recent series of papers, we found an arbitrary dimensional, time-evolving, and spatially inhomogeneous solution in Einstein-Maxwell-dilaton gravity with particular couplings. Similar to the supersymmetric case, the solution can be arbitrarily superposed in spite of nontrivial time-dependence, since the metric is specified by a set of harmonic functions. When each harmonic has a single point source at the center, the solution describes a spherically symmetric black hole with regular Killing horizons and the spacetime approaches asymptotically to the Friedmann-Lemaître-Robertson-Walker (FLRW) cosmology. We discuss in this paper that in 5 dimensions, this equilibrium condition traces back to the first-order “Killing spinor” equation in “fake supergravity” coupled to arbitrary U(1) gauge fields and scalars. We present a five-dimensional, asymptotically FLRW, rotating black-hole solution admitting a nontrivial “Killing spinor,” which is a spinning generalization of our previous solution. We argue that the solution admits nondegenerate and rotating Killing horizons in contrast with the supersymmetric solutions. It is shown that the present pseudo-supersymmetric solution admits closed timelike curves around the central singularities. When only one harmonic is time-dependent, the solution oxidizes to 11 dimensions and realizes the dynamically intersecting M2/M2/M2-branes in a rotating Kasner universe. The Kaluza-Klein–type black holes are also discussed.

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Phys. Rev. D 83, 024018– Published 14 January, 2011
  • Received 27 September 2010

© 2011 American Physical Society

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