Stress-energy of a quantized scalar field in static wormhole spacetimes

TL;DR

This paper derives an analytical approximation for the stress-energy tensor of a quantized scalar field in static wormhole spacetimes, showing it can support wormhole geometry under certain conditions.

Contribution

It provides a new analytical approximation for the stress-energy tensor in static wormhole spacetimes with arbitrary scalar coupling.

Findings

Stress-energy tensor supports wormhole geometry for specific coupling values.

Applicable to both massive and massless scalar fields.

Assumes slowly varying gravitational background.

Abstract

An analytical approximation of $<T_{\mu\nu}>$ for a quantized scalar field in a static spherically symmetric spacetime with a topology $S^2 \times R^2$ is obtained. The gravitational background is assumed slowly varying. The scalar 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. It is demonstrated that for some values of curvature coupling the stress-energy has the properties needed to support the wormhole geometry.