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

Abstract

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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References in corpus (37)

• A rotating black ring in five dimensions
• String Solitons
• Cylindrical Black Hole in General Relativity
• Topological Black Holes in Anti-de Sitter Space
• Black holes with unusual topology
• Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
• Pair Production of Topological anti de Sitter Black Holes
• Black plane solutions in four dimensional spacetimes
• Rotating Charged Black Strings in General Relativity
• Topological black holes in the dimensionally continued gravity
• Black and super p-branes in diverse dimensions
• Compact Hyperbolic Extra Dimensions: Branes, Kaluza-Klein Modes and Cosmology
• Topological Censorship and Higher Genus Black Holes
• p-brane Solitons in Maximal Supergravities
• Two-Dimensional Black Holes and Planar General Relativity
• Impact of CP phases on the search for sleptons tau and nu_tau
• S-brane Solutions in Supergravity Theories
• The Black Branes of M-theory
• Stainless super p-branes
• On the topology and area of higher dimensional black holes
• Uniqueness of (dilatonic) charged black holes and black p-branes in higher dimensions
• Stable non-BPS states in string theory: a pedagogical review
• BPS Branes in Supergravity
• Generating branes via sigma-models
• Liouville and Toda Solitons in M-theory
• Exact solutions in multidimensional gravity with antisymmetric forms
• Gravitational collapse to toroidal, cylindrical and planar black holes
• Supergravity Description of Non-BPS Branes
• Dilatonic p-brane solitons
• Thermodynamics of toroidal black holes
• Is a classical description of stable non-BPS D-branes possible?
• The Complete Brane Solution in D-dimensional Coupled Gravity System
• Quantum Properties of Topological Black Holes
• Non-BPS Brane Cosmology
• Stacking non-BPS D-Branes
• Taming the supergravity description of non-BPS D-branes: the D/Dbar solution
• Stable non-BPS D-branes and their classical description

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• Phantom Black Holes in Einstein-Maxwell-Dilaton Theory
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• Black branes on the linear dilaton background
• More on general $p$-brane solutions
• Localized Intersections of Non-Extremal p-branes and S-branes
• Intersecting Non-extreme p-Branes and Linear Dilaton Background
• M theory Branes : U duality properties and a class of new Static Solutions
• Supergravity $p$-branes with scalar charge
• Toroidal AdS Charged Branes and Toda Equations