General relativity with a positive cosmological constant \(\lambda\) as a gauge theory
type: Item
instance of: scholarly article
title: General relativity with a positive cosmological constant \(\lambda\) as a gauge theory
zbMATH Open document ID: 1432.83058
author: Marta Dudek
author: Janusz Garecki
published in: Axioms
publication date: 2020-03-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/1703.06024
review text: Summary: In this paper, we show that the general relativity action (and Lagrangian) in recent Einstein-Palatini formulation is equivalent in four dimensions to the action (and Langrangian) of a gauge field. First, we briefly showcase the Einstein-Palatini (EP) action, and then we present how Einstein fields equations can be derived from it. In the next section, we study Einstein-Palatini action integral for general relativity with a positive cosmological constant \(\Lambda\) in terms of the corrected curvature \(\Omega_{\mathrm{cor}}\). We see that in terms of \(\Omega_{\mathrm{cor}}\) this action takes the form typical for a gauge field. Finally, we give a geometrical interpretation of the corrected curvature \(\Omega_{\mathrm{cor}}\).
Mathematics Subject Classification ID: 83F05
zbMATH DE Number: 7180955
zbMATH Keywords: action integral
zbMATH Keywords: fiber bundle
zbMATH Keywords: connection in a principal fiber bundle and its curvature
zbMATH Keywords: pull-back of forms
zbMATH Keywords: Lie groups and their algebras
MaRDI profile type: Publication
OpenAlex ID: W2608745116
arXiv ID: 1703.06024
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DOI: 10.3390/AXIOMS8010024
description: scientific article