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Volume Integral Theorem for Exotic Matter

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arxiv gr-qc/0407079 v5 pith:QF6POMRU submitted 2004-07-21 gr-qc

classification gr-qc
keywords matterexoticintegralgeneralquantifierrelativitytheoremtraversable
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Traversable wormholes from a smoothed string fluid in 4D Einstein-Gauss-Bonnet gravity

    gr-qc 2025-05 reject novelty 4.0 of 10

    A 4D Einstein-Gauss-Bonnet wormhole sourced by a smoothed string fluid is built, but the advertised null-energy-condition satisfaction and asymptotic flatness are not supported by the paper's own equations.

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