One-parameter teleparallel limit of Poincare gravity

TL;DR

This paper investigates a class of Poincare gauge theories that reduce to a one-parameter teleparallel theory, demonstrating their mathematical consistency, compatibility with the standard model, and their classical solutions aligning with general relativity.

Contribution

It establishes the mathematical consistency and experimental viability of these theories, extending known solutions of general relativity to this framework.

Findings

Theories can be coupled to standard model particles.

Classical solutions include all major black hole and cosmological solutions.

Theories share solutions with general relativity, including Schwarzschild and Kerr black holes.

Abstract

Poincare gauge theories that, in the absence of spinning matter, reduce to the one-parameter teleparallel theory are investigated with respect to their mathematical consistency and experimental viability. It is argued that the theories can be consistently coupled to the known standard model particles. Moreover, we establish the result that in the classical limit, such theories share a large class of solutions with general relativity, containing, among others, the four classical black hole solutions (Schwarzschild, Reisner-Nordstrom, Kerr and Kerr-Newman), as well as the complete class of Friedman-Robertson-Walker cosmological solutions, thereby extending older viability results that were restricted to the correct Newtonian limit and to the existence of the Schwarzschild solution.