12 citations · 13 across the 2 of their papers we have counts for
8 papers
Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action
J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol +1
We give a detailed account of the Hamiltonian GNH analysis of the parametrized unimodular extension of the Holst action. The purpose of the paper is to derive, through the clear ge…
Diff-invariant Kinetic Terms in Arbitrary Dimensions
J. Fernando Barbero, Eduardo J. S. Villaseñor
We study the physical content of quadratic diff-invariant Lagrangians in arbitrary dimensions by using covariant symplectic techniques. This paper extends previous results in dimen…
A Comment on the Degrees of Freedom in the Ashtekar Formulation for 2+1 Gravity
J. Fernando Barbero, Madhavan Varadarajan
We show that the recent claim that the 2+1 dimensional Ashtekar formulation for General Relativity has a finite number of physical degrees of freedom is not correct.
Minisuperspace Examples of Quantization Using Canonical Variables of the Ashtekar Type: Structure and Solutions
J. Fernando Barbero, Michael P. Ryan
The Ashtekar variables have been use to find a number of exact solutions in quantum gravity and quantum cosmology. We investigate the origin of these solutions in the context of a…
Homogeneous 2+1 Dimensional Gravity in the Ashtekar Formulation
J. Fernando Barbero, Madhavan Varadarajan
The constraint hypersurfaces defining the Witten and Ashtekar formulations for 2+1 gravity are very different. In particular the constraint hypersurface in the Ashtekar case is not…
Solving the Constraints of General Relativity
J. Fernando Barbero
I show in this letter that it is possible to solve some of the constraints of the -ADM formalism for general relativity by using an approach similar to the one introduced by…