Quantum stress tensor for massive vector field in the space-time of a cylindrical black hole

TL;DR

This paper analytically evaluates the quantum stress tensor for a massive vector field in a cylindrical black hole spacetime, revealing violations of energy conditions near the horizon using the Schwinger-DeWitt approximation.

Contribution

It provides the first analytical calculation of the quantum stress tensor for a massive vector field in a black string background, analyzing energy condition violations.

Findings

Energy conditions are violated near the black hole horizon.

The Schwinger-DeWitt approximation effectively computes the quantum stress tensor.

Quantum effects influence the classical black string geometry.

Abstract

The components of the renormalized quantum Energy-Momentum tensor for a massive vector field coupled to the gravitational field configuration of a static Black-String are analytically evaluated using the Schwinger-DeWitt approximation. The general results are employed to investigate the pointwise energy conditions for the quantized matter field, and it is shown that they are violated at some regions of the spacetime, in particular the horizon of the black hole.