Quantum energy inequalities in two dimensions

Abstract

Quantum energy inequalities (QEIs) were established by Flanagan for the massless scalar field on two-dimensional Lorentzian spacetimes globally conformal to Minkowski space. We extend his result to all two-dimensional globally hyperbolic Lorentzian spacetimes and use it to show that flat spacetime QEIs give a good approximation to the curved spacetime results on sampling timescales short in comparison with natural geometric scales. This is relevant to the application of QEIs to constrain exotic spacetime metrics.

4 pages, REVTeX. This is an expanded version of a portion of gr-qc/0409043. To appear in Phys Rev D

References in corpus (1)

• Some Thoughts on Energy Conditions and Wormholes

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