Analitical approximation of $<φ^2>$ for a massive scalar field in static spherically symmetric spacetimes

Details Analitical approximation of $<φ^2>$ for a massive scalar field in static spherically symmetric spacetimes Analitical approximation of $<φ^2>$ for a massive scalar field in static spherically symmetric spacetimes

2000-01-20

arxiv.org/abs/gr-qc/0001058v1

Phys.Rev.D62:064007,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, RevTeX, two eps figures

Scientific paper

10.1103/PhysRevD.62.064007

An analitical approximation of $<\phi^2>$ for a massive scalar field in a zero temperature vacuum state in static spherically symmetric spacetimes is obtained. The calculations are based on the method for computing vacuum expectations values for scalar fields in general static spherically symmetric spacetimes derived by Anderson, Hiscock and Samuel [Phys. Rev. D {\bf 51}, 4337 (1995)]. The analitical approximation is used to compute $<\phi^2>$ in Schwarzschild and wormhole spacetimes.

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