Motivated by the study of physical models associated with general relativity, we review some
finite-dimensional, geometric and covariant formulations that allow us to characterize in a …

A detailed Dirac and Faddeev–Jackiw formulation of Bonzom–Livine model describing
gravity in three dimensions is performed. The full structure of the constraints, the gauge …

The symplectic analysis of a four dimensional BF theory in the context of the Faddeev–
Jackiw symplectic approach is performed. It is shown that this method is more economical …

Working in the first order formalism of gravity, we propose an action that combines the self
and (anti) self-dual parts of the curvature and comprises all the diffeomorphism invariant …

In this paper a detailed Hamiltonian analysis of three-dimensional gravity without dynamics
proposed by V. Hussain is performed. We report the complete structure of the constraints …

The main goal of this work is to explore the symmetries and develop the dynamics
associated with a 3D Abelian BF model coupled to scalar fields submitted to a sigma model …

Loop Quantum Gravity<link href='#fn1'></link> Page 1 Astron. Nachr. / AN 335, No. 6/7, 721 –
726 (2014) / DOI 10.1002/asna.201412099 Loop Quantum Gravity⋆ O. Piguet ⋆⋆ …

We present a complete quantization of Lorentzian=+ D 1 2 gravity with cosmological
constant, coupled to a set of topological matter fields. The approach of loop quantum gravity …

Abstract The Hamilton–Jacobi analysis for gravity without dynamics is performed. We report
a detailed analysis where the complete set of Hamilton–Jacobi constraints, the characteristic …

En esta tesis se realiza el análisis Hamiltoniano de una teorıa de gravedad en tres
dimensiones sin dinámica, propuesta por Viqar Husain. Se reportan las transformaciones …