Brane World Cosmology with Gauss-Bonnet Interaction
B. Abdesselam, N. Mohammedi
TL;DR
This paper investigates a modified Randall-Sundrum brane cosmology model incorporating Gauss-Bonnet interaction, analyzing its effects on Friedmann equations and discovering a solution with negative pressure.
Contribution
It introduces a Gauss-Bonnet term into the Randall-Sundrum model and examines its impact on brane cosmology with a specific focus on Friedmann equations and cosmological solutions.
Findings
Friedmann equations are recovered on the brane.
The equation of state is uniquely determined by matching conditions.
A cosmological solution with negative pressure is identified.
Abstract
We study a Randall-Sundrum model modified by a Gauss-Bonnet interaction term. We consider, in particular, a Friedmann-Robertson-Walker metric on the brane and analyse the resulting cosmological scenario. It is shown that the usual Friedmann equations are recovered on the brane. The equation of state relating the enery density and the pressure is uniquely determined by the matching conditions. A cosmological solution with negative pressure is found.
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