VACUUM STATIC, AXIALLY SYMMETRIC FIELDS IN D-DIMENSIONAL GRAVITY

Details VACUUM STATIC, AXIALLY SYMMETRIC FIELDS IN D-DIMENSIONAL GRAVITY VACUUM STATIC, AXIALLY SYMMETRIC FIELDS IN D-DIMENSIONAL GRAVITY

1995-05-15

arxiv.org/abs/gr-qc/9505021v1

Grav.Cosmol. 1 (1995) 155-159

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, Latex, 1 figure (inside the Latex file). To appear in Gravitation and Cosmology journal

Scientific paper

Vacuum static, axially symmetric space-times in $D$-dimensional general relativity with a Ricci-flat internal space are discussed. It is shown, in particular, that some of the monopole-type solutions are free of curvature singularities and their source can be a disk membrane bounded by a ring with a string or branching type singularity. Another possibility is a wormhole configuration where a particle can penetrate to another spatial infinity by passing through a ring with a string or branching type singularity. The results apply, in particular, to vacuum and scalar-vacuum configurations in conventional general relativity.

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