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Phys. Rev. D 65, 084018 (2002) [7 pages]

Brane world cosmology with Gauss-Bonnet interaction

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B. Abdesselam* and N. Mohammedi
Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais, Faculté des Sciences et Techniques, Parc de Grandmont, F-37200 Tours, France

Received 18 October 2001; published 29 March 2002

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 analyze the resulting cosmological scenario. It is shown that the usual Friedmann equations are recovered on the brane. The equation of state relating the energy density and the pressure is uniquely determined by the matching conditions. A cosmological solution with negative pressure is found.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.084018
DOI:
10.1103/PhysRevD.65.084018
PACS:
04.50.+h, 98.80.-k

*Permanent address: Laboratoire de Physique Théorique, Centre Universitaire Mustapha Stambouli, 29000 Mascara, Algeria. Email address: boucif@celfi.phys.univ-tours.fr

Email address: nouri@celfi.phys.univ-tours.fr