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arXiv · 1112.3433

Rotating Rindler-AdS Space

Maulik Parikh·Prasant Samantray·Erik Verlinde
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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 beta, which are related to the usual Rindler vacuum by non-trivial 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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Maulik Parikh, Prasant Samantray, Erik Verlinde. 2011-12-15. Rotating Rindler-AdS Space. https://doi.org/10.1103/physrevd.86.024005

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