Stress-energy tensor of neutral massive fields in the Reissner-Nordstrom spacetime

TL;DR

This paper constructs an approximation for the renormalized stress-energy tensor of quantized massive fields in Reissner-Nordstrom spacetime, extending previous results and using the Schwinger-DeWitt effective action approach.

Contribution

It introduces a new method to approximate the stress-energy tensor of massive fields in charged black hole spacetimes using the Schwinger-DeWitt expansion.

Findings

Reproduces previous results for scalar fields with arbitrary curvature coupling.

Provides a general formula applicable to scalar, spinor, and vector fields.

Utilizes the Hadamard-Minakshisundaram-DeWitt-Seely coefficient a_3.

Abstract

The approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of the Schwinger-DeWitt effective action involving coincidence limit of the Hadamard-Minakshisundaram-DeWitt-Seely coefficient a_{3}, and restricting thus obtained general formulas to spacetimes with vanishing curvature scalar. For the massive scalar field with arbitrary curvature coupling our results reproduce those obtained previously by Anderson, Hiscock, and Samuel by means of 6-th order WKB approximation.