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arXiv · gr-qc/0509076

Anti-de Sitter space, squashed and stretched

Ingemar Bengtsson·Patrik Sandin
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Abstract

We study the Lorentzian analogues of the squashed 3-sphere, namely 2+1 dimensional anti-de Sitter space, squashed or stretched along fibres that are either spacelike or timelike. The causal structure, and the property of being an Einstein--Weyl space, depend critically on whether we squash or stretch. We argue that squashing, and stretching, completely destroys the conformal boundary of the unsquashed spacetime. As a physical application we observe that the near horizon geometry of the extremal Kerr black hole, at constant Boyer--Lindquist latitude, is anti-de Sitter space squashed along compactified spacelike fibres.

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Ingemar Bengtsson, Patrik Sandin. 2005-11-02. Anti-de Sitter space, squashed and stretched. https://doi.org/10.1088/0264-9381%2F23%2F3%2F022

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