Journal
PHYSICAL REVIEW D
Volume 66, Issue 10, Pages -Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevD.66.104007
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We generalize a result of Vollick constraining the possible behavior 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.
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