Conditional escape of gravitons from the brane

Details Conditional escape of gravitons from the brane Conditional escape of gravitons from the brane

2005-02-25

arxiv.org/abs/gr-qc/0502109v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 7 figures, appendix added, submitted to CQG

Scientific paper

In this paper we consider a cosmological Friedmann Robertson Walker brane world imbedded in a 5-dimensional anti-de Sitter Schwarzschild bulk. We show, using potential diagrams, that for an anti-de Sitter bulk the null geodesics never return to the brane. Null geodesics do however return for k=+1 when we include the Schwarzschild like mass and the condition of return is obtained from the corresponding effective potential. We next obtain the condition for a gravitational signal to be emitted from a FRW brane with isotropically distributed matter. We use these results to investigate the conditions under which shortcuts through the bulk are possible.

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