Journal of Cosmology and Astroparticle Physics · 2010 · 47 citations · 54 references
Natural SciencesPhysicsCosmologyGravitationRelativityBig Bang CosmologyGeneral RelativityBrane CosmologyBraneworld CosmologyCosmic TimeCosmology In General RelativityGauss-bonnet TheoremGeneral Relativity In CosmologyModified Gravity TheoriesSingularity Formation
An induced gravity brane-world model is considered herein. A Gauss-Bonnet term is provided for the bulk, whereas phantom matter is present on the brane. It is shown that a combination of infra-red and ultra-violet modifications to general relativity replaces a big rip singularity: A sudden singularity emerges instead. Using current observational data, we also determine a range of values for the cosmic time corresponding to the sudden singularity occurrence.
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Handbook of Mathematical Functions
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