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arXiv · 1310.4810

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

Hari K. Kunduri·James Lucietti
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Abstract

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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Hari K. Kunduri, James Lucietti. 2014-01-13. The first law of soliton and black hole mechanics in five dimensions. https://doi.org/10.1088/0264-9381%2F31%2F3%2F032001

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