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Revisiting wormhole energy conditions in Riemann-Cartan spacetimes and under Weyl transformations
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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.
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Singularity theorems and the inclusion of torsion in affine theories of gravity
The authors prove new focusing and singularity theorems for Lorentzian manifolds with torsion, covering accelerated time-like and null curves, perfect fluids, and scalar fields.
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