Static wormholes in vacuum for conformal gravity

Abstract

A static spherically symmetric wormhole solution for conformal gravity in vacuum is found. The solution possesses a single integration constant which determines the size of the neck connecting two static homogeneous universes of constant spatial curvature. Time runs at different rates on each side of the neck, and depending on the value of the parameter, the wormhole can develop a cosmological horizon only at one side. It is shown that the wormholes correspond to the matching of different Einstein spacetimes by means of improper conformal transformations.

Talk given at the 7th Alexander Friedmann International Seminar on Gravitation and Cosmology, Joao Pessoa, Brazil, 29 Jun - 5 Jul 2008. 4 pages and one figure

References in corpus (7)

• Static wormhole solution for higher-dimensional gravity in vacuum
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• General class of wormhole geometries in conformal Weyl gravity
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• A derivation of Weyl gravity

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• Ellis wormhole without a phantom scalar field
• Wormholes in conformal gravity
• Wormhole geometries in fourth-order conformal Weyl gravity
• The tetralogy of Birkhoff theorems
• Gravitationally induced zero modes of the Faddeev-Popov operator in the Coulomb gauge for Abelian gauge theories
• Horizon symmetries and hairy black holes in AdS
• Non-symmetric wormholes and localized Big Rip singularities in Einstein-Weyl gravity