Wormhole solutions sourced by fluids, I: Two-fluid charged sources

TL;DR

This paper constructs and analyzes rotating and nonrotating wormholes sourced by electromagnetic fields and exotic fluids, revealing properties like minimal dragging effects and regions without negative energy densities, advancing understanding of wormhole physics.

Contribution

It introduces a generalized superposition method for generating rotating wormholes with specific matter sources and explores their physical properties and energy conditions.

Findings

Mass-charge constraint reduces dragging effects.

Existence of conical spirals with no negative energy densities.

Nonrotating wormholes with unique energy condition properties.

Abstract

We briefly discuss some of the known and new properties of rotating geometries that are relevant to this work. We generalize the analytical method of superposition of fields, known for generating nonrotating solutions, and apply it to construct massless and massive rotating physical wormholes sourced by a source-free electromagnetic field and an exotic fluid both anisotropic. Their stress-energy tensors are presented in compact and general forms. For the massive rotating wormholes there exists a mass-charge constraint yielding almost no more dragging effects than ordinary stars. There are conical spirals through the throat along which no local negative energy densities are noticed for these rotating wormholes. This conclusion extends to nonrotating massive type I wormholes derived previously by the author that seem to be the first kind of nonrotating wormholes with this property. Based on the classification made in J. Cosmol. Astropart. Phys. 07 (2015) 037 [arXiv:1412.8282]: "Type I wormholes have their radial pressure dying out faster, as one moves away from the throat, than any other component of the stress-energy and thus violate the least the local energy conditions. In type II (resp. III) the radial and transverse pressures are asymptotically proportional and die out faster (resp. slower) than the energy density".