Volume Integral Theorem for Exotic Matter

Details Volume Integral Theorem for Exotic Matter Volume Integral Theorem for Exotic Matter

2004-07-21

arxiv.org/abs/gr-qc/0407079v5

Phys.Rev. D70 (2004) 127503

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

10.1103/PhysRevD.70.127503

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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