5 papers
Geometrical setting for the correspondence between gravity and Chern-Simons field theories
Santiago Capriotti
In the present article, Chern-Simons gauge theory and its relationship with gravity are revisited from a geometrical viewpoint. In this setting, our goals are twofold: In one hand,…
Griffiths Variational Multisymplectic Formulation for Lovelock Gravity
Santiago Capriotti, Jordi Gaset, Narciso Román-Roy +1
This work is mainly devoted to constructing a multisymplectic description of Lovelock's gravity, which is an extension of General Relativity. We establish a Griffiths variational p…
Routh Reduction of Palatini Gravity in Vacuum
Santiago Capriotti
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 e…
Routh reduction for first-order field theories
S. Capriotti, E. García-Toraño Andrés
We present a reduction theory for first order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original pro…
AKS systems and Lepage equivalent problems
Santiago Capriotti
The integrable systems known as "AKS systems" admit a natural formulation in terms of a Hamiltonian picture. The Lagrangian side of these systems are far less known; a version in t…