Quantum inequalities in two dimensional curved spacetimes
arXiv:gr-qc/0208066 · doi:10.1103/PhysRevD.66.104007
Abstract
We generalize a result of Vollick constraining the possible behaviors of the renormalized expected stress-energy tensor of a free massless scalar field in two dimensional spacetimes that are globally conformal to Minkowski spacetime. Vollick derived a lower bound for the energy density measured by a static observer in a static spacetime, averaged with respect to the observers proper time by integrating against a smearing function. Here we extend the result to arbitrary curves in non-static spacetimes. The proof, like Vollick's proof, is based on conformal transformations and the use of our earlier optimal bound in flat Minkowski spacetime. The existence of such a quantum inequality was previously established by Fewster.
revtex 4, 5 pages, no figures, submitted to Phys. Rev. D. Minor corrections. v4 Correction to Eq. (2.11)
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