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

Fayçal Hammad, Étienne Massé, and Patrick Labelle
Phys. Rev. D 98, 124010 – Published 12 December 2018

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.

  • Received 3 October 2018

DOI:https://doi.org/10.1103/PhysRevD.98.124010

© 2018 Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Fayçal Hammad1,2,*, Étienne Massé1,3,†, and Patrick Labelle2,‡

  • 1Department of Physics and Astronomy & STAR Research Cluster, Bishop’s University, 2600 College Street, Sherbrooke, Quebec J1M 1Z7, Canada
  • 2Physics Department, Champlain College-Lennoxville, 2580 College Street, Sherbrooke, Quebec J1M 0C8, Canada
  • 3Département de Physique, Université de Sherbrooke, Sherbrooke, Quebec J1K 2X9, Canada

  • *fhammad@ubishops.ca
  • Etienne.Masse@usherbrooke.ca
  • plabelle@crc-lennox.qc.ca

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Issue

Vol. 98, Iss. 12 — 15 December 2018

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