Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Capriotti, Santiago"'
Autor:
Quijón, Guadalupe, Capriotti, Santiago
The present article introduces a generalization of the Hamiltonian field theory for a Lagrangian density, allowing the formulation of this kind of field theories for variational problem of more general nature than those associated to a classical vari
Externí odkaz:
http://arxiv.org/abs/2407.03991
Autor:
Capriotti, Santiago
The purpose of this article is to study the correspondence between $3d$-gravity and the Chern-Simons field theory from the perspective of geometric mechanics, specifically in the case where the structure group is the general affine group. To accompli
Externí odkaz:
http://arxiv.org/abs/2305.18688
Publikováno v:
J. Phys. A: Math. Theor. 55 (2022) 415401
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 we investigate aspects of the corresponding reconstruction process. We
Externí odkaz:
http://arxiv.org/abs/2205.00309
Autor:
Capriotti, Santiago
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, to show how to represent the family of variational problems for Chern
Externí odkaz:
http://arxiv.org/abs/2004.10785
Publikováno v:
Gen. Rel. Grav. 52(8) (2020) 74
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 problem for the Lovelock Lagrangian, obtaining the geometric form of th
Externí odkaz:
http://arxiv.org/abs/1911.07278
Autor:
Capriotti, Santiago
Publikováno v:
SIGMA 16 (2020), 046, 50 pages
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
Externí odkaz:
http://arxiv.org/abs/1909.10088
Autor:
Capriotti, Santiago
The present article is devoted to the construction of a unified formalism for Palatini and unimodular gravity. The basic idea is to employ a relationship between unified formalism for a Griffiths variational problem and its classical Lepage-equivalen
Externí odkaz:
http://arxiv.org/abs/1707.06057
Autor:
Capriotti, Santiago
In the present work a Cartan mechanics version for Routh reduction is considered, as an intermediate step toward Routh reduction in field theory. Motivation for this generalization comes from an scheme for integrable systems [12], used for understand
Externí odkaz:
http://arxiv.org/abs/1606.02630
Autor:
Capriotti, Santiago
En esta tesis se presenta un estudio de los vínculos de Dirac asociados a una teoría de campos desde el punto de vista de sistemas diferenciales exteriores (EDS).Con este fin en mente, se estudió una clase mayor de problemas variacionales, deno-mi
Externí odkaz:
http://repositoriodigital.uns.edu.ar/handle/123456789/2212
Autor:
Cendra, Hernán, Capriotti, Santiago
Dirac algorithm allows to construct Hamiltonian systems for singular systems, and so contributing to its successful quantization. A drawback of this method is that the resulting quantized theory does not have manifest Lorentz invariance. This motivat
Externí odkaz:
http://arxiv.org/abs/1309.4080