Generalising The Concept Of Maximal Symmetry Of Spacetimes In The Presence Of Torsion

TL;DR

This paper proposes a generalization of the concept of maximal symmetry in spacetimes when torsion is present, extending classical symmetry notions to more complex geometric frameworks.

Contribution

It introduces a new generalized definition of maximal symmetry applicable to spacetimes with torsion, broadening the understanding of geometric symmetries in such contexts.

Findings

Generalized symmetry concept applicable to torsion-inclusive spacetimes

Extension of classical maximal symmetry definitions

Potential implications for gravitational theories with torsion

Abstract

A possible generalisation is given to the meaning of maximal symmetry in the presence of torsion