14 citations · 49 across the 17 of their papers we have counts for
17 papers
A Hamiltonian formalism for general variational problems, with applications to first order gravity with basis
Guadalupe Quijón, Santiago Capriotti
The present article introduces a generalization of the (multisymplectic) Hamiltonian field theory for a Lagrangian density, allowing the formulation of this kind of field theories…
Chern-Simons field theory on the general affine group, -gravity and the extension of Cartan connections
Santiago Capriotti
The purpose of this article is to study the correspondence between -gravity and the Chern-Simons field theory from the perspective of geometric mechanics, specifically in the c…
Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
Santiago Capriotti, Viviana Alejandra Díaz, Eduardo García-Toraño Andrés +1
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and…
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…