Axial Current, Killing Vector and Newtonian Gravity

TL;DR

This paper derives Newton's law of gravity from a torsion-based gravity framework by linking a Killing vector to the axial-vector matter current, revealing the potential function as a logarithm of a proportionality factor.

Contribution

It introduces a novel derivation of Newtonian gravity from multiplicative torsion gravity using a Killing vector proportional to the axial-vector current.

Findings

Newton's law derived from torsion gravity framework

Potential function identified as logarithm of a proportionality factor

Link between Killing vector and matter current established

Abstract

Starting from the multiplicative torsion approach of gravity and assuming a Killing vector to be proportional to the axial-vector matter current, here we derive Newton's law of gravity where the logarithm of the proportionality factor has been found to be the potential function.