Braneworld dynamics in Einstein-Gauss-Bonnet gravity

Details Braneworld dynamics in Einstein-Gauss-Bonnet gravity Braneworld dynamics in Einstein-Gauss-Bonnet gravity

2007-08-23

arxiv.org/abs/0708.3237v4

Phys.Rev.D76:104028,2007; Erratum-ibid.D80:089902,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 7 figures; revised version matches the published Erratum. Two figures altered, main results unchanged

Scientific paper

10.1103/PhysRevD.76.104028

We discuss the cosmological evolution of a braneworld in five dimensional Gauss-Bonnet gravity. Our discussion allows the fifth (bulk) dimension to be space-like as well as time-like. The resulting equations of motion have the form of a cubic equation in the (H^2,(\rho+\sigma)^2) plane, where \sigma is the brane tension and \rho is the matter density. This allows us to conduct a comprehensive pictorial analysis of cosmological evolution for the Gauss-Bonnet brane. The many interesting properties of this braneworld include the possibility of accelerated expansion at late times. For a finite region in parameter space the accelerated expansion can be phantom-like so that w < -1. At late times, this branch approaches de Sitter space (w = -1) and avoids the big-rip singularities usually present in phantom models. For a time-like extra dimension the Gauss-Bonnet brane can bounce and avoid the initial singularity.

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