Brane-world Singularities

Abstract

We study the behavior of spatially homogeneous brane-worlds close to the initial singularity in the presence of both local and nonlocal stresses. It is found that the singularity in these brane-worlds can be locally either isotropic or anisotropic. We then investigate the Weyl curvature conjecture, according to which some measure of the Weyl curvature is related to a gravitational entropy. In particular, we study the Weyl curvature conjecture on the brane with respect to the dimensionless ratio of the Weyl invariant and the Ricci square and the measure proposed by Grøn and Hervik. We also argue that the Weyl curvature conjecture should be formulated on brane (i.e., in the four-dimensional context).

12 pages

References in corpus (10)

• New Cosmological Singularities in Braneworld Models
• Bulk effects in the cosmological dynamics of brane-world scenarios
• Kaluza-Klein anisotropy in the CMB
• Dynamics of Brane-World Cosmological Models
• No Chaos in Brane-World Cosmology
• The shear dynamics in Bianchi I cosmological model on the brane
• The Weyl tensor in Spatially Homogeneous Cosmological Models
• Bianchi IX Brane-world Cosmologies
• Magnetic Brane-worlds
• Chaos and Brane-worlds

Cited by in corpus (10)

• Brane-World Gravity
• Brane-world gravity
• Dynamics of Brane-World Cosmological Models
• Braneworld cosmological models with anisotropy
• Brane cosmology with an anisotropic bulk
• Isotropic singularity in inhomogeneous brane cosmological models
• Reformulation and Interpretation of SMS Braneworld
• Braneworld Isotropization and Magnetic Fields
• Cosmic No Hair for Braneworlds with a Bulk Dilaton Field
• The Dynamics of Brane-World Cosmological Models