Some Remarks on the Coupling Prescription of Teleparallel Gravity

TL;DR

This paper analyzes the gravitational coupling prescription in teleparallel gravity, demonstrating its equivalence to general relativity's prescription even with fermions, using a nonholonomic frame approach.

Contribution

It introduces a nonholonomic frame-based analysis of the coupling prescription in teleparallel gravity, establishing its equivalence with general relativity's approach.

Findings

Coupling prescriptions in teleparallel gravity are equivalent to those in general relativity.

The equivalence holds even when fermions, like Dirac spinors, are present.

The nonholonomic frame approach provides a consistent framework for this analysis.

Abstract

By using a nonholonomic moving frame version of the general covariance principle, an active version of the equivalence principle, an analysis of the gravitational coupling prescription of teleparallel gravity is made. It is shown that the coupling prescription determined by this principle is always equivalent with the corresponding prescription of general relativity, even in the presence of fermions. An application to the case of a Dirac spinor is made.