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Phys. Rev. Lett. 90, 201102 (2003) [4 pages]

Traversable Wormholes with Arbitrarily Small Energy Condition Violations

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Matt Visser*
School of Mathematical and Computing Sciences, Victoria University of Wellington, PO Box 600, Wellington, New Zealand

Sayan Kar†
Department of Physics and Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302, WB, India

Naresh Dadhich‡
Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune 411 007, India

Received 2 January 2003; published 21 May 2003

Traversable wormholes necessarily require violations of the averaged null energy condition, this being the definition of “exotic matter.” However, the theorems which guarantee the energy condition violation are remarkably silent when it comes to making quantitative statements regarding the “total amount” of energy condition violating matter in the spacetime. We develop a suitable measure for quantifying this notion and demonstrate the existence of spacetime geometries containing traversable wormholes that are supported by arbitrarily small quantities of exotic matter.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.201102
DOI:
10.1103/PhysRevLett.90.201102
PACS:
04.70.Dy, 04.62.+v, 11.10.Kk

*Electronic address: matt.visser@vuw.ac.nz

†Electronic address: sayan@cts.iitkgp.ernet.in

‡Electronic address: nkd@iucaa.ernet.in

 
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