Quantum energy inequalities in two dimensions
General Relativity and Quantum Cosmology
2009-11-10 v1
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.
Cite
@article{arxiv.gr-qc/0411114,
title = {Quantum energy inequalities in two dimensions},
author = {C. J. Fewster},
journal= {arXiv preprint arXiv:gr-qc/0411114},
year = {2009}
}
Comments
4 pages, REVTeX. This is an expanded version of a portion of gr-qc/0409043. To appear in Phys Rev D