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The first law of soliton and black hole mechanics in five dimensions

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arxiv 1310.4810 v2 pith:4WFMLAIC submitted 2013-10-17 hep-th gr-qc

The first law of soliton and black hole mechanics in five dimensions

classification hep-th gr-qc
keywords blackholemasscyclesfieldsfirstfivegeneral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive a mass formula and a mass variation law for asymptotically flat, stationary spacetimes, invariant under two commuting rotational symmetries, in a general five dimensional theory of gravity coupled to an arbitrary set of Maxwell fields and uncharged scalar fields. If the spacetime is everywhere regular, these mass formulas reduce to a sum of magnetic flux terms defined on its non-trivial 2-cycles. If there is a black hole, we obtain a mass variation law more general than previously obtained, which also has contributions from the 2-cycles exterior to the black hole. This can be interpreted as the first law of black hole mechanics in a background soliton containing bubbles.

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Cited by 1 Pith paper

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  1. Charged and rotating near-horizon geometries in five dimensions

    hep-th 2026-06 conditional novelty 7.0

    New analytic charged rotating near-horizon geometries in 5D Einstein-Maxwell are constructed and shown to be the most general extremal rotating horizons with constant co-rotating electric field under Sasakian structure.