Higher Dimensional Wormhole Geometries with Compact Dimensions

Details Higher Dimensional Wormhole Geometries with Compact Dimensions Higher Dimensional Wormhole Geometries with Compact Dimensions

2002-07-19

arxiv.org/abs/gr-qc/0207077v2

Nucl.Phys. B653 (2003) 279-304

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, 5 figures (quality reduced to reduce file size). Update includes added references and more detail regarding role ext

Scientific paper

10.1016/S0550-3213(03)00051-8

This paper studies wormhole solutions to Einstein gravity with an arbitrary number of time dependent compact dimensions and a matter-vacuum boundary. A new gauge is utilized which is particularly suited for studies of the wormhole throat. The solutions possess arbitrary functions which allow for the description of infinitely many wormhole systems of this type and, at the stellar boundary, the matter field is smoothly joined to vacuum. It turns out that the classical vacuum structure differs considerably from the four dimensional theory and is therefore studied in detail. The presence of the vacuum-matter boundary and extra dimensions places interesting restrictions on the wormhole. For example, in the static case, the radial size of a weak energy condition (WEC) respecting throat is restricted by the extra dimensions. There is a critical dimension, D=5, where this restriction is eliminated. In the time dependent case, one \emph{cannot} respect the WEC at the throat as the time dependence actually tends the solution towards WEC violation. This differs considerably from the static case and the four dimensional case.

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