The shortest cut in brane cosmology

Details The shortest cut in brane cosmology The shortest cut in brane cosmology

2001-09-04

arxiv.org/abs/hep-th/0109024v1

Phys.Rev. D65 (2002) 083512

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 7 figures

Scientific paper

10.1103/PhysRevD.65.083512

We consider brane cosmology studying the shortest null path on the brane for photons, and in the bulk for gravitons. We derive the differential equation for the shortest path in the bulk for a 1+4 cosmological metric. The time cost and the redshifts for photons and gravitons after traveling their respective path are compared. We consider some numerical solutions of the shortest path equation, and show that there is no shortest path in the bulk for the Randall-Sundrum vacuum brane solution, the linear cosmological solution of Bin\'etruy, et al for $\omega = -1, -{2/3}$, and for some expanding brane universes.

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