Averaged Energy Inequalities for the Non-Minimally Coupled Classical Scalar Field

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dc.creatorFewster, Christopher J.
dc.creatorOsterbrink, Lutz W.
dc.date2006-06-02
dc.date2006-08-15
dc.date.accessioned2026-07-07T11:43:03Z
dc.date.available2026-07-07T11:43:03Z
dc.descriptionThe stress energy tensor for the classical non-minimally coupled scalar field is known not to satisfy the point-wise energy conditions of general relativity. In this paper we show, however, that local averages of the classical stress energy tensor satisfy certain inequalities. We give bounds for averages along causal geodesics and show, e.g., that in Ricci-flat background spacetimes, ANEC and AWEC are satisfied. Furthermore we use our result to show that in the classical situation we have an analogue to the phenomenon of quantum interest. These results lay the foundations for analogous energy inequalities for the quantised non-minimally coupled fields, which will be discussed elsewhere.
dc.description8 pages, RevTeX4. Minor typos corrected; version to appear in Phys Rev D
dc.identifierhttps://arxiv.org/abs/gr-qc/0606009
dc.identifierhttp://arxiv.org/abs/gr-qc/0606009
dc.identifierPhys.Rev.D74:044021,2006
dc.identifierdoi:10.1103/PhysRevD.74.044021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201101
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleAveraged Energy Inequalities for the Non-Minimally Coupled Classical Scalar Field
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