Levi-Civita spacetimes in multidimensional theories

Abstract

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.

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

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Cited by in corpus (3)

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• Higher Dimensional Cylindrical or Kasner Type Electrovacuum Solutions