%0 Journal Article
%T General Relativity with a Positive Cosmological Constant 托 as a Gauge Theory
%A Janusz Garecki
%A Marta Dudek
%J -
%D 2019
%R https://doi.org/10.3390/axioms8010024
%X Abstract In this paper, we show that the general relativity action (and Lagrangian) in recent Einstein每Palatini formulation is equivalent in four dimensions to the action (and Langrangian) of a gauge field. First, we briefly showcase the Einstein每Palatini (EP) action, and then we present how Einstein fields equations can be derived from it. In the next section, we study Einstein每Palatini action integral for general relativity with a positive cosmological constant 托 in terms of the corrected curvature 次 c o r. We see that in terms of 次 c o r this action takes the form typical for a gauge field. Finally, we give a geometrical interpretation of the corrected curvature 次 c o r. View Full-Tex
%K action integral
%K fiber bundle
%K connection in a principal fiber bundle and its curvature
%K pull-back of forms
%K Lie groups and their algebras
%U https://www.mdpi.com/2075-1680/8/1/24