English

Volume Integral Theorem for Exotic Matter

General Relativity and Quantum Cosmology 2009-11-10 v5

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.

Keywords

Cite

@article{arxiv.gr-qc/0407079,
  title  = {Volume Integral Theorem for Exotic Matter},
  author = {Kamal Kanti Nandi and Yuan-Zhong Zhang and K. B. Vijaya Kumar},
  journal= {arXiv preprint arXiv:gr-qc/0407079},
  year   = {2009}
}

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7 pages