General relativity with nonzero cosmological constant as a gauge theory

TL;DR

This paper demonstrates that general relativity with a nonzero cosmological constant can be reformulated as a gauge theory, providing a new perspective on Einstein's theory in four dimensions.

Contribution

It introduces a novel gauge-theoretic formulation of general relativity with a cosmological constant, extending previous work and clarifying the gauge structure of the theory.

Findings

Equivalence of Einstein-Palatini action to gauge field action in 4D

New formulation offers insights into gravity as a gauge theory

Builds on and amends previous related work

Abstract

We show in a new way that the general relativity action (and Lagrangian)in recent Einstein-Palatini formulation is equivalent in four dimensions to the action (and Lagrangian) of a gauge field. This paper is a continuation of the previous paper [17] and it also gives an amended version of the lecture delivered by one of the authors [M.D.] at Hypercomplex Seminar in Bedlewo.