Ring Wormholes in D-Dimensional Einstein and Dilaton Gravity

Abstract

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 ($G{M}^2\ll Q^2$) is of the order of the ``classical radius" $Q^2/M$.

Latex file, 15 pages

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• Uniqueness of higher-dimensional phantom field wormholes
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• Flat wormholes from straight cosmic strings
• Static spacetimes haunted by a phantom scalar field II: dilatonic charged solutions
• Constraining modified gravity theories with scalar fields using black-hole images
• Gravitational perturbations in the Newman-Penrose formalism: Applications to wormholes
• Some unusual wormholes in general relativity
• Uniqueness of higher-dimensional Einstein-Maxwell-phantom dilaton wormholes
• Modified gravity from Weyl connection and the $f(R,\mathcal{A})$ extension
• Classification of static black holes in Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems
• Rotating cylindrical wormholes: a no-go theorem
• Geodesic completeness of a ring wormhole
• On the embedding of Weyl manifolds
• Uniqueness of electrically and magnetically charged phantom wormholes
• Geodesics near a curvature singularity of stationary and axially symmetric space-times