Quantifying energy condition violations in traversable wormholes

Abstract

The `theoretical' existence of traversable Lorentzian wormholes in the classical, macroscopic world is plagued by the violation of the well--known energy conditions of General Relativity. In this brief article we show : (i) how the extent of violation can be quantified using certain volume integrals (ii) whether this `amount of violation' can be minimised for some specific cut--and--paste geometric constructions. Examples and possibilities are also outlined.

8 pages, no figures, to appear in Proceedings of ICGC04, Cochin, India (January 5-10,2004)

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