Levi-Civita spacetimes in multidimensional theories

Details Levi-Civita spacetimes in multidimensional theories Levi-Civita spacetimes in multidimensional theories

2009-04-23

arxiv.org/abs/0904.3596v1

Mod.Phys.Lett.A24:1659-1667,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages. Accepted for publication in Mod. Phys. Lett. A (MPLA)

Scientific paper

10.1142/S0217732309031004

We obtain the most general static cylindrically symmetric vacuum solutions of the Einstein field equations in $(4 + N)$ dimensions. Under the assumption of separation of variables, we construct a family of Levi-Civita-Kasner vacuum solutions in $(4 + N)$. We discuss the dimensional reduction of the static solutions. Depending on the reduction procedure, they can be interpreted either as a scalar-vacuum generalization of Levi-Civita spacetimes, or as the effective 4D vacuum spacetime outside of an idealized string in braneworld theory.

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