Criteria for energy conditions

Abstract

In model building studies, it is important to check the energy conditions for the corresponding energy-momentum tensor determined by the gravitational field equations in order to single out physically reasonable models. In this process, one often encounters a situation where the energy-momentum tensor has one off-diagonal "space-time" component in the frame with an orthonormal basis in a given spacetime. We derive useful criteria of energy-momentum tensors for their Hawking-Ellis types and the standard energy conditions in such situations. As demonstrations, we apply those criteria to four different systems.

24 pages, 2 tables, no figure; v2, proof of Lemma 1 improved, section 3.4 for a minimally coupled scalar field added, final version to appear in Classical and Quantum Gravity

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• Experiment and theory in the Casimir effect
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