General GaussBonnet brane cosmology
Abstract
We consider fivedimensional spacetimes of constant threedimensional spatial curvature in the presence of a bulk cosmological constant. We find the general solution of such a configuration in the presence of a GaussBonnet term. Two classes of nontrivial bulk solutions are found. The first class is valid only under a finetuning relation between the GaussBonnet coupling constant and the cosmological constant of the bulk spacetime. The second class of solutions are static and are the extensions of the AdSSchwarzchild black holes. Hence in the absence of a cosmological constant or if the finetuning relation is not true, the generalized Birkhoff's staticity theorem holds even in the presence of GaussBonnet curvature terms. We examine the consequences in braneworld cosmology obtaining the generalized Friedmann equations for a perfect fluid 3brane and discuss how this modifies the usual scenario.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 September 2002
 DOI:
 10.1088/02649381/19/18/304
 arXiv:
 arXiv:hepth/0202107
 Bibcode:
 2002CQGra..19.4671C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20 pages, no figures, typos corrected, refs added, section IV changed yielding novel results