Abstract
In 3+1 dimensions there are anti-de Sitter quotients which are black holes with toroidal event horizons. By analytic continuation of the Schwarzschild-anti-de Sitter solution (and appropriate identifications) one finds two one parameter families of spacetimes that contain these quotient black holes. One of these families consists of B-metrics (“bubbles of nothing”), the other of black hole spacetimes. All of them have vanishing conserved charges.
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I. Bengtsson was supported by VR.
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Åman, J.E., Åminneborg, S., Bengtsson, I. et al. Anti-de Sitter quotients, bubbles of nothing, and black holes. Gen Relativ Gravit 40, 2557–2567 (2008). https://doi.org/10.1007/s10714-008-0639-z
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DOI: https://doi.org/10.1007/s10714-008-0639-z