# Einstein-Cartan wormhole solutions

## TL;DR

This paper explores wormhole solutions within Einstein-Cartan theory, incorporating spin effects via Weyssenhoff fluid, and presents exact asymptotically flat and anti-de-Sitter wormholes that satisfy energy conditions.

## Contribution

It introduces new wormhole solutions in Einstein-Cartan theory with spin effects, analyzing specific redshift functions and their energy condition compliance.

## Key findings

- Existence of asymptotically flat and anti-de-Sitter wormholes in ECT.
- Wormholes satisfying energy conditions with specific redshift functions.
- Detailed analysis of wormhole properties in ECT with spin effects.

## Abstract

In the present work we investigate wormhole structures and the energy conditions supporting them, in Einstein-Cartan theory ({\sf ECT}). The matter content consists of a Weyssenhoff fluid along with an anisotropic matter which together generalize the anisotropic energy momentum tensor in general relativity ({\sf GR}) to include spin effects. Assuming that the radial pressure and energy density obey a linear equation of state, we introduce exact asymptotically flat and anti-de-Sitter spacetimes that admit traversable wormholes and respect energy conditions. Such wormhole solutions are studied in detail for two specific forms for the redshift function, namely a constant redshift function and the one with power law dependency.