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

Abstract

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.

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

References in corpus (7)

• Holographic superconductivity in M-Theory
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Entropy function and attractors for AdS black holes
• Exact Attractive Non-BPS STU Black Holes
• Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets

Cited by in corpus (2)

• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Rotating BPS black holes in matter-coupled AdS(4) supergravity