Quantum Inequalities and Singular Energy Densities

Details Quantum Inequalities and Singular Energy Densities Quantum Inequalities and Singular Energy Densities

1997-11-10

arxiv.org/abs/gr-qc/9711030v1

Phys.Rev. D57 (1998) 4839-4846

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, LaTex, 2 figures, uses epsf

Scientific paper

10.1103/PhysRevD.57.4839

There has been much recent work on quantum inequalities to constrain negative energy. These are uncertainty principle-type restrictions on the magnitude and duration of negative energy densities or fluxes. We consider several examples of apparent failures of the quantum inequalities, which involve passage of an observer through regions where the negative energy density becomes singular. We argue that this type of situation requires one to formulate quantum inequalities using sampling functions with compact support. We discuss such inequalities, and argue that they remain valid even in the presence of singular energy densities.

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