Five-dimensional black hole string backgrounds and brane universe acceleration

Abstract

We examine background solutions of black hole type arising from the string effective action in five dimensions. We derive the unique metric -dilaton vacuum which is a Schwarzschild type black hole. It is found that it can be extended to incorporate electric charge without changing the topology of the three space. Kalb-Ramond charge may also be introduced if the three space is closed. The basic features of the cosmology induced on a three brane evolving in this background are also discussed. 1

Anisotropic power-law inflation of the five dimensional scalar–vector and scalar-Kalb–Ramond model

“…In this paper, therefore, we will consider the five dimensional Kalb-Ramond (KR) theory [79][80][81][82]. It is known that an effective action with a scalar-Kalb-Ramond interaction is equivalent to an effective action with a scalarvector interaction in five dimensional (5D) spacetime [83][84][85][86]. Therefore the 5D KR model is a 5D extension of the KSW model.…”

Universe acceleration in brane world models

“…In this work we examine the cosmology induced on a brane moving in the five-dimensional Schwarzschild stringy black hole background found in [46], paying attention mainly in the acceleration parameter and insisting in deriving the today value of the acceleration to follow a decelerating phase. Indeed we found that introducing on the brane matter with the characteristics of quintessence or phantom even in the simple case we have considered with constant w e and no coupling of the brane matter to the dilaton field, acceptable behavior of the acceleration parameter can be achieved.…”

“…In this section we briefly review the derivation of the static five-dimensional background found in [46] which will be used for the cosmological study. The bosonic part of the low energy limit of the string effective action is…”

“…The general spherically symmetric metric-dilaton string background, under the assumption for a static dilaton, is uniquely determined to be a Schwarzschild type black hole of the form [46,48]:…”

“…In a previous work [46] we examined background solutions of the string effective action in five dimensions. In particular we derived the unique dilaton -metric static vacuum with non-vanishing Liouville-type dilaton potential.…”