General Relativity with a Positive Cosmological Constant Λ as a Gauge Theory
Institute of Mathematics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland
Institute of Mathematics and Cosmology Group, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland
Author to whom correspondence should be addressed.
Received: 16 October 2018 / Revised: 30 January 2019 / Accepted: 4 February 2019 / Published: 21 February 2019
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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
in terms of the corrected curvature
. We see that in terms of
this action takes the form typical for a gauge field. Finally, we give a geometrical interpretation of the corrected curvature
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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(1):24.
Dudek, Marta; Garecki, Janusz. 2019. "General Relativity with a Positive Cosmological Constant Λ as a Gauge Theory." Axioms 8, no. 1: 24.
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