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arXiv · 1909.10088

Routh Reduction of Palatini Gravity in Vacuum

Santiago Capriotti
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Abstract

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.

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Santiago Capriotti. 2019-09-22. Routh Reduction of Palatini Gravity in Vacuum. https://doi.org/10.3842/sigma.2020.046

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