Year: 2004
Type: article
Abstract: We consider the brane-world generalization of the G\"odel universe and analyze its dynamical interaction with the bulk. The exact homogeneity of the standard G\"odel spacetime no longer holds, unless the bulk is also static. We show how the anisotropy of the G\"odel-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 G\"odel brane. We also examine the causality of the G\"odel brane and show that the presence of the bulk cannot prevent the appearance of closed time-like curves.
Authors: John D. Barrow, Christos G. Tsagas
Institutions: University of Cambridge, University of Cape Town
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1883090534