Godel brane

Abstract

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.

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

References in corpus (1)

• Braneworld cosmological models with anisotropy

Cited by in corpus (19)

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• Brane-world gravity
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• Gödel-type universes in f(R) gravity
• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• Gödel-type universes in Palatini f(R) gravity
• Godel-Type Metrics in Various Dimensions
• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• The Gödel solution in the modified gravity
• Description for rotating $C_{60}$ fullerenes via Gödel-type metric
• Violation of causality in $f(T)$ gravity
• Brane cosmology with an anisotropic bulk
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• New Classes of Off-Diagonal Cosmological Solutions in Einstein Gravity
• Vorticity survival in magnetised Friedmann universes
• Energy-momentum and angular momentum of Goedel universes
• No Swiss-cheese universe on the brane
• On the validity of the 5-dimensional Birkhoff theorem: The tale of an exceptional case
• The Kasner Brane