Ring Wormholes in D-Dimensional Einstein and Dilaton Gravity

Details Ring Wormholes in D-Dimensional Einstein and Dilaton Gravity Ring Wormholes in D-Dimensional Einstein and Dilaton Gravity

1996-03-22

arxiv.org/abs/gr-qc/9603037v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex file, 15 pages

Scientific paper

10.1088/0264-9381/14/4/003

On the basis of exact solutions to the Einstein-Abelian gauge-dilaton equations in $D$-dimensional gravity, the properties of static axial configurations are discussed. Solutions free of curvature singularities are selected; they can be attributed to traversible wormholes with cosmic string-like singularities at their necks. In the presence of an electromagnetic field some of these wormholes are globally regular, the string-like singularity being replaced by a set of twofold branching points. Consequences of wormhole regularity and symmetry conditions are discussed. In particular, it is shown that (i) regular, symmetric wormholes have necessarily positive masses as viewed from both asymptotics and (ii) their characteristic length scale in the big charge limit ($GM^2 \ll Q^2$) is of the order of the ``classical radius" $Q^2/M$.

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