Cosmological Equations for a Thick Brane

Details Cosmological Equations for a Thick Brane Cosmological Equations for a Thick Brane

2002-02-25

arxiv.org/abs/gr-qc/0202089v1

Phys.Rev. D65 (2002) 103523

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, Latex, 2 figures

Scientific paper

10.1103/PhysRevD.65.103523

Generalized Friedmann equations governing the cosmological evolution inside a thick brane embedded in a five-dimensional Anti-de Sitter spacetime are derived. These equations are written in terms of four-dimensional effective brane quantities obtained by integrating, along the fifth dimension, over the brane thickness. In the case of a Randall-Sundrum type cosmology, different limits of these effective quantities are considered yielding cosmological equations which interpolate between the thin brane limit (governed by unconventional brane cosmology), and the opposite limit of an ``infinite'' brane thickness corresponding to the familiar Kaluza-Klein approach. In the more restrictive case of a Minkowski bulk, it is shown that no effective four-dimensional reduction is possible in the regimes where the brane thickness is not small enough.

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