Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-08-30
Class.Quant.Grav. 22 (2005) 2415-2432
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, 2 figures, sections 3 and 4 revised, matches the version to be published
Scientific paper
10.1088/0264-9381/22/12/008
We consider cosmological solutions and their stability with respect to homogeneous and isotropic perturbations in the braneworld model with the scalar-curvature term in the action for the brane. Part of the results are similar to those obtained by Campos and Sopuerta for the Randall-Sundrum braneworld model. Specifically, the expanding de Sitter solution is an attractor, while the expanding Friedmann solution is a repeller. In the braneworld theory with the scalar-curvature term in the action for the brane, static solutions with matter satisfying the strong energy condition exist not only with closed spatial geometry but also with open and flat ones even in the case where the dark-radiation contribution is absent. In a certain range of parameters, static solutions are stable with respect to homogeneous and isotropic perturbations.
Iakubovskyi Dmytro
Shtanov Yuri
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