Strings in gravity with torsion

TL;DR

This paper develops a 4D gravitational theory incorporating strings in the material action within a spacetime with torsion, revealing that strings naturally generate torsion and possess intrinsic spin derived from their structure.

Contribution

It introduces a novel gravitational framework where strings induce torsion and possess intrinsic spin, connecting string properties with spacetime geometry and conservation laws.

Findings

Strings naturally give rise to torsion in spacetime.

The equations of motion for strings align with conservation laws.

Strings inherently have spin due to their one-dimensional structure.

Abstract

A theory of gravitation in 4D is presented with strings used in the material action in $U_4$ spacetime. It is shown that the string naturally gives rise to torsion. It is also shown that the equation of motion a string follows from the Bianchi identity, gives the identical result as the Noether conservation laws, and follows a geodesic only in the lowest order approximation. In addition, the conservation laws show that strings naturally have spin, which arises not from their motion but from their one dimensional structure.