Preprint Article Version 1 This version is not peer-reviewed

General Relativity with a Positive Cosmological Constant as a Gauge Theory.

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.

Journal reference: Axioms 2019, 8, 24
DOI: 10.3390/axioms8010024

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.

Subject Areas

action integral, fiber bundle, connection in a principal fiber bundle and its curvature, pull-back of forms, Lie groups and their algebras.

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