Wormhole geometries in fourth-order conformal Weyl gravity

Abstract

We present an analysis of the classic wormhole geometries based on conformal Weyl gravity, rather than standard general relativity. The main characteristics of the resulting traversable wormholes remain the same as in the seminal study by Morris and Thorne, namely, that effective super-luminal motion is a viable consequence of the metric. Improving on previous work on the subject, we show that for particular choices of the shape and redshift functions the wormhole metric in the context of conformal gravity does not violate the main energy conditions at or near the wormhole throat. Some exotic matter might still be needed at the junction between our solutions and flat spacetime, but we demonstrate that the averaged null energy condition (as evaluated along radial null geodesics) is satisfied for a particular set of wormhole geometries. Therefore, if fourth-order conformal Weyl gravity is a correct extension of general relativity, traversable wormholes might become a realistic solution for interstellar travel.

Minor changes and one equation added, 22 pages, including 4 figures, published in Int. J. Mod. Phys. D, Online Ready: 12 April 2016

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• Casimir wormhole with GUP correction in extended symmetric teleparallel gravity
• Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions
• Existence of non-exotic traversable wormholes in squared trace extended gravity theory
• Minimally deformed wormholes inspired by noncommutative geometry
• Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable
• Casimir Wormholes in Brans-Dicke Theory
• Shadows of generalised Hayward spacetimes : in vacuum and with plasma