Time-dependent extra dimension and higher-dimensional modifications to the matter content in FRW spacetimes

Abstract

In this work we suggest that higher-dimensional modifications to the matter content in FRW spacetimes can be obtained not only, as first considered by Ponce de Leon, referring to "moving" 4D hypersurfaces non-orthogonal to the time-dependent extra dimension of an embedding 5D manifold, but also referring to "fixed" 4D hypersurfaces orthogonal to a suitable scalar function which defines a static foliation of the 5D manifold and takes the role of the extra dimension in a suitable coordinate system. Results obtained in each approach crucially depend on the method used to identify the 4D metric of our brane universe from the 5D metric of the bulk manifold.

13 pages, to appear in MPLA

References in corpus (8)

• Application of the Campbell-Magaard theorem to higher-dimensional physics
• $D$-Dimensional Gravity from $(D+1)$ Dimensions
• Classical confinement of test particles in higher-dimensional models: stability criteria and a new energy condition
• The Structure of the Big Bang from Higher-Dimensional Embeddings
• The Dynamics of Test Particles and Pointlike Gyroscopes in the Brane World and Other 5D Models
• Reinventing spacetime on a dynamical hypersurface
• Constraints on accelerating universe using ESSENCE and Gold supernovae data combined with other cosmological probes
• An analytic model for the transition from decelerated to accelerated cosmic expansion

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• Cosmic acceleration and phantom crossing in $f(T)$-gravity
• Kaluza-Klein Cosmology: the bulk metric
• 3+2 Cosmology: unifying FRW metrics in the bulk