On the stress-energy tensor of a rotating wormhole

TL;DR

This paper investigates the stress-energy tensor required for rotating wormholes, showing that such structures cannot be supported by perfect fluids or fluids with anisotropic stresses, highlighting limitations in current models.

Contribution

It derives constraints on the stress-energy tensor for stationary, axisymmetric spacetimes and demonstrates that certain rotating wormholes cannot be modeled with common fluid sources.

Findings

Rotating wormholes cannot be described by perfect fluids.

Rotating wormholes cannot be supported by fluids with anisotropic stresses.

Derived necessary conditions on the metric for such spacetimes.

Abstract

We analyze the stress-energy tensor necessary to generate a general stationary and axisymmetric spacetime. The constraints on the geometry arising from considering a perfect fluid as a source are derived. For a fluid with a nonzero stress tensor, we obtain two necessary conditions on the metric. As an example, we show that the rotating wormhole presented in the literature can not be described by either a perfect fluid or by a fluid with anisotropic stresses.