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Phys. Rev. D 70, 127501 (2004) [4 pages]

Quantum energy inequalities in two dimensions

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Christopher J. Fewster*
Departmentof Mathematics, University of York, Heslington,York, YO10 5DD, United Kingdom

Received 21 October 2004; published 3 December 2004

Quantumenergy inequalities (QEIs) were established by Flanagan for the massless scalarfield on two-dimensional Lorentzian spacetimes globally conformal to Minkowskispace. We extend his result to all two-dimensional globally hyperbolic Lorentzianspacetimes and use it to show that flat spacetime QEIs give a good approximationto the curved spacetime results on sampling time scales short in comparisonwith natural geometric scales. This is relevant to the application of QEIsto constrain exotic spacetime metrics.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.127501
DOI:
10.1103/PhysRevD.70.127501
PACS:
04.62.+v

*Electronic address: cjf3@york.ac.uk