Stress-energy tensor of quantized massive fields in static wormhole spacetimes

TL;DR

This paper investigates the stress-energy tensor of quantized massive fields in static wormhole spacetimes, finding that these quantum fields do not support the wormhole structure and violate the conditions needed for traversability.

Contribution

It provides a detailed analysis of the stress-energy tensor for various quantum fields in six static wormhole spacetimes, showing they cannot support wormhole stability.

Findings

Quantum fields violate the Morris-Thorne conditions.

Quantum fields do not support the wormhole throat.

Quantum effects make wormholes less operable.

Abstract

In order to be traversable, the static Lorentzian wormhole must be made out of some exotic matter that violates the weak energy condition. The quantized fields are the natural candidates as their stress-energy tensor, in many cases, possesses desired properties. In this paper we construct and examine the stress-energy tensor of the quantized massive scalar, spinor and vector fields in six static wormhole spacetimes. We find that in all considered cases the quantum fields violate the Morris-Thorne conditions and do not have the form necessary to support the wormhole throat. This is in concord with the previous results and indicates that the massive quantum fields make the wormholes less operable.