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

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

2010-02-08

arxiv.org/abs/1002.1560v1

Mod. Phys. Lett. A25:781-792, 2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, to appear in MPLA

Scientific paper

10.1142/S021773231003286X

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.

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