Supergravity p-branes revisited: extra parameters, uniqueness, and topological censorship

Details Supergravity p-branes revisited: extra parameters, uniqueness, and topological censorship Supergravity p-branes revisited: extra parameters, uniqueness, and topological censorship

2004-03-10

arxiv.org/abs/hep-th/0403112v1

Phys.Rev. D70 (2004) 024011

Physics

High Energy Physics

High Energy Physics - Theory

Revtex4, no figures

Scientific paper

10.1103/PhysRevD.70.024011

We perform a complete integration of the Einstein-dilaton-antisymmetric form action describing black p-branes in arbitrary dimensions assuming the transverse space to be homogeneous and possessing spherical, toroidal or hyperbolic topology. The generic solution contains eight parameters satisfying one constraint. Asymptotically flat solutions form a five-parametric subspace, while conditions of regularity of the non-degenerate event horizon further restrict this number to three, which can be related to the mass and the charge densities and the asymptotic value of the dilaton. In the case of a degenerate horizon, this number is reduced by one. Our derivation constitutes a constructive proof of the uniqueness theorem for $p$-branes with the homogeneous transverse space. No asymptotically flat solutions with toroidal or hyperbolic transverse space within the considered class are shown to exist, which result can be viewed as a demonstration of the topological censorship for p-branes. From our considerations it follows, in particular, that some previously discussed p-brane-like solutions with extra parameters do not satisfy the standard conditions of asymptotic flatness and absence of naked singularities. We also explore the same system in presence of a cosmological constant, and derive a complete analytic solution for higher-dimensional charged topological black holes, thus proving their uniqueness.

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