Revisiting wormhole energy conditions in Riemann-Cartan spacetimes and under Weyl transformations

Abstract

We show that the violation of the null energy condition by matter, required by traversable wormholes, can be removed in spacetimes with torsion. In addition, we show that this violation can also be removed in the conformal frame obtained by a Weyl transformation. This comes about because both conformally transformed wormholes and wormholes in spacetimes with torsion become sustained thanks to a combination of 'normal' matter, that satisfies the null energy condition, and an induced 'geometric' energy-momentum tensor that is able to greatly violate the null energy condition.

arXiv comment11 pages

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Cited by in corpus (8)

• Charged wormholes in f(R,T) extended theory of gravity
• Noether charge and black hole entropy in teleparallel gravity
• Dynamical wormholes in Lovelock gravity
• Singularity theorems and the inclusion of torsion in affine theories of gravity
• Dynamics in wormhole spacetimes: a Jacobi metric approach
• More on spacetime thermodynamics in the light of Weyl transformations
• How appropriate are the gravitational entropy proposals for traversable wormholes?
• What can we learn from the conformal noninvariance of the Klein-Gordon equation?