Spin, torsion and violation of null energy condition in traversable wormholes

TL;DR

This paper investigates how torsion and spin in Einstein-Cartan gravity influence the energy conditions in traversable wormholes, showing that certain spins allow wormholes to exist without exotic matter.

Contribution

It demonstrates that specific spin values in matter fields enable traversable wormholes to satisfy energy conditions within Einstein-Cartan theory, avoiding the need for exotic matter.

Findings

Torsion contributions depend on matter spin.

Certain spins allow null energy condition satisfaction.

Traversable wormholes can be supported by normal spinning matter.

Abstract

The static spherically symmetric traversable wormholes are analysed in the Einstein- Cartan theory of gravitation. In particular, we computed the torsion tensor for matter fields with different spin S = 0; 1/2; 1; 3/2. Interestingly, only for certain values of the spin the torsion contribution to Einstein-Cartan field equation allows one to satisfy both faring-out condition and Null Energy Condition. In this scenario traversable wormholes can be produced by using usual (non-exotic) spinning matter.