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Rotating Rindler-AdS space

Maulik Parikh1,*, Prasant Samantray2,†, and Erik Verlinde3,‡

  • 1Department of Physics and Beyond: Center for Fundamental Concepts in Science, Arizona State University, Tempe, Arizona 85287, USA
  • 2Department of Physics, Arizona State University, Tempe, Arizona 85287, USA
  • 3Institute for Theoretical Physics and GRAPPA, University of Amsterdam, Science Park 904, 1090 GL, Amsterdam, Netherlands

  • *maulik.parikh@asu.edu
  • †prasant.samantray@asu.edu
  • ‡e.p.verlinde@uva.nl
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Phys. Rev. D 86, 024005 – Published 3 July, 2012

DOI: https://doi.org/10.1103/PhysRevD.86.024005

Abstract

If the Hamiltonian of a quantum field theory is taken to be a timelike isometry, the vacuum state remains empty for all time. We search for such stationary vacua in anti-de Sitter space. By considering conjugacy classes of the Lorentz group, we find interesting one-parameter families of stationary vacua in three-dimensional anti-de Sitter space. In particular, there exists a family of rotating Rindler vacua, labeled by the rotation parameter β, which are related to the usual Rindler vacuum by nontrivial Bogolubov transformations. Rotating Rindler-AdS space possesses not only an observer-dependent event horizon but even an observer-dependent ergosphere. We also find rotating vacua in global AdS provided a certain region of spacetime is excluded.

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Information

Phys. Rev. D 86, 024005– Published 3 July, 2012
  • Received 17 March 2012
Article part of CHORUS

© 2012 American Physical Society

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