New spin on Einstein's non-symmetric metric tensor

TL;DR

This paper explores a novel solution to gravitational field equations using a non-symmetric metric tensor, identifying its non-symmetric part as the spin potential, aligning with string theory and offering new insights into gravity-spin coupling.

Contribution

It introduces a new interpretation of the non-symmetric metric tensor as the spin potential, differing from previous theories and connecting gravity with string theory.

Findings

Non-symmetric metric tensor acts as spin potential.

Aligns with string theory predictions.

Provides a natural coupling between gravity and strings.

Abstract

A solution to the gravitational field equations based on a non-symmetric metric tensor is examined. Unlike Einstein's interpretation of electromagnetism, or Moffat's generalized gravity, it is shown that the non-symmetric part of the metric tensor is the potential of the spin field. This is in agreement with string theory and provides a natural coupling between gravitation and strings.