Intersecting Non-extreme p-Branes and Linear Dilaton Background

Abstract

We construct the general static solution to the supergravity action containing gravity, the dilaton and a set of antisymmetric forms describing the intersecting branes delocalized in the relative transverse dimensions. The solution is obtained by reducing the system to a set of separate Liouville equations (the intersection rules implying the separability); it contains the maximal number of free parameters corresponding to the rank of the differential equations. Imposing the requirement of the absence of naked singularities, we show that the general configurations are restricted to two and only two classes: the usual asymptotically flat intersecting branes, and the intersecting branes some of which are asymptotically flat and some approach the linear dilaton background at infinity. In both cases the configurations are black. These are supposed to be relevant for the description of the thermal phase of the QFT's in the corresponding Domain-Wall/QFT duality.

14 pages, v2: references added, v3: minor corrections and refs. added

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Cited by in corpus (12)

• Dynamics of intersecting brane systems -- Classification and their applications --
• Cosmological intersecting brane solutions
• Cosmology in p-brane systems
• AdS Black Hole Solution in Dilatonic Einstein-Gauss-Bonnet Gravity
• More on general $p$-brane solutions
• 10 + 1 to 3 + 1 in an Early Universe with mutually BPS Intersecting Branes
• Dyonic branes and linear dilaton background
• Colliding $p$-branes in the dynamical intersecting brane system
• The fundamental non critical string
• M theory Branes : U duality properties and a class of new Static Solutions
• Study of Early Universe in an M Theoretic Model
• Implication of U-duality for black branes in M/string theory