Energy conditions and classical scalar fields

Details Energy conditions and classical scalar fields Energy conditions and classical scalar fields

2001-06-19

arxiv.org/abs/hep-th/0106168v1

Nucl.Phys. B640 (2002) 453-468

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX, PACS: 04.30.-w, 04.30.Nk, 04.50.+h

Scientific paper

10.1016/S0550-3213(02)00437-6

Attention has been recently called upon the fact that the weak and null energy conditions and the second law of thermodynamics are violated in wormhole solutions of Einstein's theory with classical, nonminimally coupled, scalar fields as material source. It is shown that the discussion is only meaningful when ambiguities in the definitions of stress-energy tensor and energy density of a nonminimally coupled scalar are resolved. The three possible approaches are discussed with emphasis on the positivity of the respective energy densities and covariant conservation laws. The root of the ambiguities is traced to the energy localization problem for the gravitational field.

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