A Study of Morris-Thorne Wormhole in Einstein-Cartan Theory

TL;DR

This paper investigates Morris-Thorne wormholes within Einstein-Cartan theory using tetrad formalism, analyzing energy conditions and spin effects to understand wormhole properties in this extended gravity model.

Contribution

It introduces a tetrad formalism approach to study wormholes in Einstein-Cartan theory, including energy conditions and spin density analysis.

Findings

Energy conditions at the wormhole throat are examined.

Spin density is expressed in terms of the red-shift function.

Properties of wormholes in Einstein-Cartan theory are characterized.

Abstract

This paper focuses on the Einstein-Cartan theory, an extension of general relativity that incorporates a torsion tensor into spacetime. The differential form technique is employed to analyze the Einstein-Cartan theory, which replaces tensors with tetrads. A tetrad formalism, specifically the Newmann-Penrose-Jogia-Griffiths formalism, is used to study the field equations. The energy-momentum tensor is also determined, considering a Weyssenhoff fluid with anisotropic matter. The spin density is derived in terms of the red-shift function. We also examine the energy conditions at the throat of a Morris-Thorne wormhole. The results shed light on the properties of wormholes in the context of the Einstein-Cartan theory, including the energy conditions at the throat.