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Paper detail

Four-dimensional anti-de Sitter black holes from a three-dimensional perspective: Full complexity

The dimensional reduction of black hole solutions in four-dimensional (4D) general relativity is performed and new 3D black hole solutions are obtained. Considering a 4D spacetime with one spacelike Killing vector, it is possible to split the Einstein-Hilbert-Maxwell action with a cosmological term in terms of 3D quantities. Definitions of quasilocal mass and charges in 3D spacetimes are reviewed. The analysis is then particularized to the toroidal charged rotating anti-de Sitter black hole. The reinterpretation of the fields and charges in terms of a three-dimensional point of view is given in each case, and the causal structure analyzed.

preprint2002arXivOpen access
Vilson T. ZanchinAntares KleberJose' P. S. Lemos
gr-qchep-th
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Vilson T. ZanchinAntares KleberJose' P. S. Lemos

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