Godel brane

Details Godel brane Godel brane

2003-09-05

arxiv.org/abs/gr-qc/0309030v3

Phys.Rev. D69 (2004) 064007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revised version, to match paper published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.69.064007

We consider the brane-world generalisation of the Godel universe and analyse its dynamical interaction with the bulk. The exact homogeneity of the standard Godel spacetime no longer holds, unless the bulk is also static. We show how the anisotropy of the Godel-type brane is dictated by that of the bulk and find that the converse is also true. This determines the precise evolution of the nonlocal anisotropic stresses, without any phenomenological assumptions, and leads to a self-consistent closed set of equations for the evolution of the Godel brane. We also examine the causality of the Godel brane and show that the presence of the bulk cannot prevent the appearance of closed timelike curves.

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