Submitted:
16 October 2018
Posted:
16 October 2018
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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.
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