Volume Integral Theorem for Exotic Matter

Abstract

We answer an important question in general relativity about the volume integral theorem for exotic matter by suggesting an exact integral quantifier for matter violating Averaged Null Energy Condition (ANEC). It is checked against some well known static, spherically symmetric traversable wormhole solutions of general relativity with a sign reversed kinetic term minimally coupled scalar field. The improved quantifier is consistent with the principle that traversable wormholes can be supported by arbitrarily small quantities of exotic matter.

7 pages

References in corpus (6)

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• Brans-Dicke wormholes in the Jordan and Einstein frames
• Quantifying energy condition violations in traversable wormholes
• Brans wormholes
• On Traversable Lorentzian Wormholes in the Vacuum Low Energy Effective String Theory in Einstein and Jordan Frames
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• Tides and energy conditions in Einstein-Gauss-Bonnet thin-shell wormholes