Quantum Inequalities on the Energy Density in Static Robertson-Walker Spacetimes

Details Quantum Inequalities on the Energy Density in Static Robertson-Walker Spacetimes Quantum Inequalities on the Energy Density in Static Robertson-Walker Spacetimes

1996-08-02

arxiv.org/abs/gr-qc/9608005v1

Phys.Rev. D55 (1997) 4813-4821

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, plain LATEX, with 3 figures, uses epsf

Scientific paper

10.1103/PhysRevD.55.4813

Quantum inequality restrictions on the stress-energy tensor for negative energy are developed for three and four-dimensional static spacetimes. We derive a general inequality in terms of a sum of mode functions which constrains the magnitude and duration of negative energy seen by an observer at rest in a static spacetime. This inequality is evaluated explicitly for a minimally coupled scalar field in three and four-dimensional static Robertson-Walker universes. In the limit of vanishing curvature, the flat spacetime inequalities are recovered. More generally, these inequalities contain the effects of spacetime curvature. In the limit of short sampling times, they take the flat space form plus subdominant curvature-dependent corrections.

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