Gravity theory in SAP-geometry

TL;DR

This paper develops a gravity field theory within absolute parallelism geometry assuming a semi-symmetric connection, analyzing its mathematical and physical implications based on a specific Lagrangian.

Contribution

It introduces a novel gravity theory in SAP-geometry with semi-symmetric connections, extending teleparallel frameworks.

Findings

Derived new field equations in SAP-geometry

Analyzed mathematical properties of the field equations

Explored physical implications of the theory

Abstract

The aim of the present paper is to construct a field theory in the context of absolute parallelism (Teleparallel) geometry under the assumption that the canonical connection is semi-symmetric. The field equations are formulated using a suitable Lagrangian first proposed by Mikhail and Wanas. The mathematical and physical consequences arising from the obtained field equations are investigated.