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arXiv · 1005.1427

Vacuum polarization of the quantized massive scalar field in Reissner-Nordström spacetime

Jerzy Matyjasek·Dariusz Tryniecki·Katarzyna Zwierzchowska
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Abstract

The approximation of the renormalized stress-energy tensor of the quantized massive scalar field in Reissner-Nordström spacetime is constructed. It is achieved by functional differentiation of the first two nonvanishing terms of the Schwinger-DeWitt expansion involving the coincidence limit of the Hadamard-Minakshisundaram-DeWitt-Seely coefficients $[a_{3}]$ and $[a_{4}]$ with respect to the metric tensor. It is shown, by comparison with the existing numerical results, that inclusion of the second-order term leads to substantial improvement of the approximation of the exact stress-energy tensor. The approximation to the field fluctuation, $\langle ϕ^{2} \rangle,$ is constructed and briefly discussed.

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Jerzy Matyjasek, Dariusz Tryniecki, Katarzyna Zwierzchowska. 2010-05-09. Vacuum polarization of the quantized massive scalar field in Reissner-Nordström spacetime. https://doi.org/10.1103/physrevd.81.124047

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