M.J. Pfenning and L.H. Ford, "Quantum inequalities on the energy density in static Robertson-Walker spacetimes," TUTP-96-3, gr-qc/9608005 (to be published in Phys. Rev. D).  Home/Search   Document Details and Download   Summary   Related Articles

.... other suggestions [16, 18] For reviewing the status of nonlocal energy conditions of non interacting scalar fields, see Flanagan and Wald [17] Recently, in the extension of quantum inequality type relation (quantum inequality) on flat spacetime of Ford and Roman [12, 13, 14] Pfenning and Ford [19] have formulated quantum inequality for a static observer on a globally static curved spacetime (see section 2) The integral of (renormalized) energy density of a static observer with the weighting function f has been evaluated for the minimally coupled scalar field in the test field limit ....

....The averaged energy density difference is defined by the integral with weighting function f(x 0 ; t 0 ) as ae j t 0 Z 1 Gamma1 j : T 00 : j x 2 0 t 2 0 dx 0 : 8) After some algebra along the line of Ref. 13, 12] ae for arbitrary j can be shown to have a lower bound as [19] ae Gamma X ff (w 2 ff 1 4 r i r i )jU ff j 2 e Gamma2w ff t 0 : 9) This quantum inequality holds on any globally static spacetime and thus reproduce the known inequalities for static observer. For example, in 4D Minkowski spacetime it gives the quantum inequality of Ref. 12, 13, ....

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M.J. Pfenning and L.H. Ford, "Quantum inequalities on the energy density in static Robertson-Walker spacetimes," TUTP-96-3, gr-qc/9608005 (to be published in Phys. Rev. D).

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