Quantization of massive scalar fields over axis symmetric space-time backgrounds
Abstract
The renormalized mean value of the quantum Lagrangian and the Energy-Momentum tensor for scalar fields coupled to an arbitrary gravitational field configuration are analytically evaluated in the Schwinger-DeWitt approximation, up to second order in the inverse mass value. The cylindrical symmetry situation is considered. The results furnish the starting point for investigating iterative solutions of the back-reaction problem related with the quantization of cylindrical scalar field configurations. Due to the homogeneity of the equations of motion of the Klein-Gordon field, the general results are also valid for performing the quantization over either vanishing or non-vanishing mean field configurations. As an application, compact analytical expressions are derived here for the quantum mean Lagrangian and Energy-Momentum tensor in the particular background given by the Black-String space-time.
Cite
@article{arxiv.gr-qc/0701135,
title = {Quantization of massive scalar fields over axis symmetric space-time backgrounds},
author = {Owen Pavel Fernandez Piedra and Alejandro Cabo Montes de Oca},
journal= {arXiv preprint arXiv:gr-qc/0701135},
year = {2007}
}
Comments
13 pages