Black branes on the linear dilaton background

作者：Clement G^*; Gal'tsov D; Leygnac C

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2005, 71(8): 084014.

DOI：10.1103/PhysRevD.71.084014

We show that the complete static black p-brane supergravity solution with a single charge contains two and only two branches with respect to behavior at infinity in the transverse space. One branch is the standard family of asymptotically flat black branes, and another is the family of black branes which asymptotically approach the linear dilaton background (LDB) with antisymmetric form flux. Such configurations were previously obtained in the near-horizon near-extreme limit of the dilatonic asymptotically flat p-branes, and used to describe the thermal phase of field theories involved in the domain wall (DW)/quantum field theory (QFT) dualities and the thermodynamics of little string theory in the case of the NS5-brane. Here we show by direct integration of the Einstein equations that the asymptotically LDB p-branes are indeed exact supergravity solutions, and we prove a new uniqueness theorem for static p-brane solutions satisfying cosmic censorship. In the nondilatonic case, our general nonasymptotically flat p-branes are black branes on the background AdS(p+2)xS(D-p-2) supported by the form flux. We develop the general formalism of quasilocal quantities for nonasymptotically flat supergravity solutions with antisymmetric form fields, and show that our solutions satisfy the first law of thermodynamics. We also suggest a constructive procedure to derive rotating asymptotically LDB brane solutions.

• 出版日期2005-4