General relativity as a special case of Poincar\'e gauge gravity

TL;DR

This paper shows that Einstein's general relativity can be derived as a special case within the broader Poincaré gauge theory of gravity by employing a specific nonminimal matter coupling to Riemann-Cartan spacetime.

Contribution

It introduces a novel perspective by deriving general relativity from Poincaré gauge gravity through a particular nonminimal matter coupling.

Findings

General relativity is a special case of Poincaré gauge gravity.

Nonminimal coupling to Riemann-Cartan geometry reproduces Einstein's equations.

Provides a unified framework linking gauge theories and gravity.

Abstract

We demonstrate that Einstein's general relativity theory arises as a special case in the framework of the Poincar\'e gauge theory of gravity under the assumption of a suitable nonminimal coupling of matter to the Riemann-Cartan geometry of spacetime.