BPS black holes in N=2 D=4 gauged supergravities

Details BPS black holes in N=2 D=4 gauged supergravities BPS black holes in N=2 D=4 gauged supergravities

2010-05-20

arxiv.org/abs/1005.3650v3

JHEP 1008:103,2010

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 2 figures; v2 references added; v3 minor changes, published version

Scientific paper

10.1007/JHEP08(2010)103

We construct and analyze BPS black hole solutions in gauged N=2, D=4 supergravity with charged hypermultiplets. A class of solutions can be found through spontaneous symmetry breaking in vacua that preserve maximal supersymmetry. The resulting black holes do not carry any hair for the scalars. We demonstrate this with explicit examples of both asymptotically flat and anti-de Sitter black holes. Next, we analyze the BPS conditions for asymptotically flat black holes with scalar hair and spherical or axial symmetry. We find solutions only in cases when the metric contains ripples and the vector multiplet scalars become ghost-like. We give explicit examples that can be analyzed numerically. Finally, we comment on a way to circumvent the ghost-problem by introducing also fermionic hair.

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