Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-09-19
Phys.Rev. D65 (2002) 084002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, 15 figures. Some expressions in Sect. IIIB4 corrected; other minor changes in the text and in the figures
Scientific paper
10.1103/PhysRevD.65.084002
This paper initiates a program which seeks to study the allowed spatial distributions of negative energy density in quantum field theory. Here we deal with free fields in Minkowski spacetime. Known restrictions on time integrals of the energy density along geodesics, the averaged weak energy condition and quantum inequalities are reviewed. These restrictions are then used to discuss some possible constraints on the allowable spatial distributions of negative energy. We show how some geometric configurations can either be ruled out or else constrained. We also construct some explicit examples of allowed distributions. Several issues related to the allowable spatial distributions are also discussed. These include spacetime averaged quantum inequalities in two-dimensional spacetime, the failure of generalizations of the averaged weak energy condition to piecewise geodesics, and the issue of when the local energy density is negative in the frame of all observers.
Borde Arvind
Ford L. H.
Roman Thomas A.
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