Geodesic
Routh Reduction of Palatini Gravity in Vacuum
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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An interpretation of Einstein–Hilbert gravity equations as Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists in representing the equations of motion as a set of differential forms on a suitable bundle. In this setting Einstein–Hilbert gravity can be considered as a kind of Routh reduction of the underlying field theory for Palatini gravity. As a byproduct of this approach, a novel set of conditions for the existence of a vielbein for a given metric is found.
Keywords: symmetry reduction, Palatini gravity, frame bundle. 
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     author = {Santiago Capriotti},
     title = {Routh {Reduction} of {Palatini} {Gravity} in {Vacuum}},
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     year = {2020},
     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a45/}
}
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Santiago Capriotti. Routh Reduction of Palatini Gravity in Vacuum. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a45/

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