Wormholes in conformal gravity

Abstract

We present a new class of solutions for static spherically symmetric wormhole spacetimes in conformal gravity and outline a detailed method for their construction. As an explicit example, we construct a class of traversable and non-traversable wormholes that are locally conformal to Schwarzschild-(anti) de Sitter spacetimes. These wormhole spacetimes are exact vacuum solutions in, but not being limited to, Weyl gravity and conformal scalar-tensor theories. Importantly, the method implies that every conformal theory of gravity with static spherically symmetric solutions will trivially contain wormholes without the need for exotic matter. Applying those results on gravitational theories that possess conformal symmetry in the ultraviolet regime, the central singularities of black holes can be replaced with wormhole throats. We speculate on possible phenomenological consequences. We also discuss the inclusion of matter fields and give explicit examples of charged wormholes in Weyl gravity and conformal scalar-tensor gravity.

24 pages, 3 figures. To appear in JCAP. References updated, examples of charged wormholes added

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• Ellis wormhole without a phantom scalar field
• Horizonless ultracompact objects and dark matter in quadratic gravity
• Scale-invariant cosmology in de Sitter gauge theory
• On the thermodynamic phase structure of conformal gravity
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• Casimir Wormholes in Brans-Dicke Theory
• Stability of spherical thin-shell wormholes in scalar-tensor theories
• Charged galactic wormholes: shadow imaging, accretion disks, and charged-particle deflection