Dark Radiation Dynamics on the Brane

Details Dark Radiation Dynamics on the Brane Dark Radiation Dynamics on the Brane

2002-07-18

arxiv.org/abs/hep-th/0207173v2

Phys.Rev.D66:124002,2002

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX, 11 EPS figures. Two references added with some adjustments to the text. Version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.124002

We investigate the dynamics of a spherically symmetric vaccum on a Randall and Sundrum 3-brane world. Under certain natural conditions, the effective Einstein equations on the brane form a closed system for spherically symmetric dark radiation. We determine exact dynamical and inhomogeneous solutions, which are shown to depend on the brane cosmological constant, on the dark radiation tidal charge and on its initial energy configuration. We identify the conditions defining these solutions as singular or as globally regular. Finally, we discuss the confinement of gravity to the vicinity of the brane and show that a phase transition to a regime where gravity is not bound to the brane may occur at short distances during the collapse of positive dark energy density on a realistic de Sitter brane.

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