Analytical approximation of the stress-energy tensor of a quantized scalar field in static spherically symmetric spacetimes

Abstract

Analytical approximations for $<{\varphi }^2>$ and $<T_{\nu }^{\mu }>$ of a quantized scalar field in static spherically symmetric spacetimes are obtained. The field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar curvature, and in a zero temperature vacuum state. The expressions for $<{\varphi }^2>$ and $<T_{\nu }^{\mu }>$ are divided into low- and high-frequency parts. The contributions of the high-frequency modes to these quantities are calculated for an arbitrary quantum state. As an example, the low-frequency contributions to $<{\varphi }^2>$ and $<T_{\nu }^{\mu }>$ are calculated in asymptotically flat spacetimes in a quantum state corresponding to the Minkowski vacuum (Boulware quantum state). The limits of the applicability of these approximations are discussed.

revtex4, 17 pages; v2: three references added

References in corpus (1)

• Method to compute the stress-energy tensor for the massless spin 1/2 field in a general static spherically symmetric spacetime

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