Article
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Preserved in Portico This version is not peer-reviewed
General Relativity with a Positive Cosmological Constant as a Gauge Theory.
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Version 1
: Received: 16 October 2018 / Approved: 16 October 2018 / Online: 16 October 2018 (16:44:23 CEST)
A peer-reviewed article of this Preprint also exists.
Dudek, M.; Garecki, J. General Relativity with a Positive Cosmological Constant Λ as a Gauge Theory. Axioms 2019, 8, 24. Dudek, M.; Garecki, J. General Relativity with a Positive Cosmological Constant Λ as a Gauge Theory. Axioms 2019, 8, 24.
Abstract
In the paper we show that the general relativity in recent Einstein-Palatini formulation is equivalent to a gauge field. We begin with a bit of information of the Einstein-Palatini formulation and derive Einstein field equations from it. In the next section, we consider general relativity with a positive cosmological constant in terms of the corrected curvature. We show that in terms of the corrected curvature general relativity takes the form typical for a gauge field. Finally, we give a geometrical interpretation of the corrected curvature.
Keywords
action integral, fiber bundle, connection in a principal fiber bundle and its curvature, pull-back of forms, Lie groups and their algebras.
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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