Universe acceleration in brane world models

Abstract

We examine the cosmology induced on a brane moving in the background of a five-dimensional black hole, solution of the string effective action. The evolution, determined by the Israel junction conditions is found to be compatible with an accelerating universe with the present day acceleration coming after a decelerating phase. The possible species of the energy-momentum tensor, localized on the brane, for these solutions to be valid are discussed.

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

“…Hence we are led to the investigation whether the cosmic no-hair conjecture is truly violated in higher dimensional extensions of KSW model. In particular, we have chosen to study the 5D scalar-Kalb-Ramond model [79][80][81][82][83][84][85][86] in this paper. The effective action with a scalar-Kalb-Ramond interaction can be shown to be equivalent to an effective action with a scalarvector interaction in 5D spacetime [83][84][85][86], a higher dimensional extension of KSW 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.…”

“…Therefore the 5D KR model is a 5D extension of the KSW model. Note also that the KR theory has been studied extensively [83][84][85][86][87][88][89][90][91][92][93][94][95][96][97][98][99][100]. For example, its black hole solutions can be found in Refs.…”

“…It is known that an effective action with a Kalb-Ramond interaction is equivalent to an effective action with a vector interaction in five dimensional (5D) spacetime [83][84][85][86]. Duality holds also between the scalar-KR coupling and the scalar-vector coupling.…”

“…For example, its black hole solutions can be found in Refs. [83][84][85][86][87][88][89][90][91], while its FLRW cosmological solutions are obtained in Refs. [88,89,[92][93][94][95].…”