Multiplicative Torsion and Axial Noether Charge

TL;DR

This paper explores a novel formalism based on multiplicative torsion and axial Noether charge, revealing conserved axial vector currents as a consequence of local Lorentz symmetry in a modified gravitational framework.

Contribution

It introduces a new Lagrangian formalism focusing on local Lorentz symmetry and demonstrates the emergence of conserved axial currents via Noether's theorem.

Findings

Conserved axial vector matter currents are derived from the formalism.

The formalism reproduces results similar to Einstein-Hilbert gravity.

The approach links torsion, symmetry, and conserved charges in gravity.

Abstract

Some times ago, a Lagrangian density has been proposed by the author where only the local symmetries of the Lorentz subgroup of (A)ds group is retained. This formalism has been found to produce some results encompassing that of standard Einstein-Hilbert formalism. In the present article, the conserved axial vector matter currents, constructed in some earlier paper, have been found to be a result of Noether's theorem.