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 …

A bstract In this paper we study a family of generalizations of the Pontryagin and Husain-
Kuchǎr actions on manifolds with boundary. In some cases, they describe well-known …

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 …

We study nonperturbative quantization of the first order formulation of three-dimensional
gravity with positive cosmological constant (de Sitter space being the prototype vacuum …

We have systematically computed the generators of the symmetries arising in Poincaré
gauge theory formulation of gravity, both in 2+ 1 and 3+ 1 dimensions. This was done using …

Starting with a generalized theory of 2+ 1 gravity containing an Immirzi-like parameter, we
derive the modified laws of black hole mechanics using the formalism of weak isolated …

In this paper we study a family of generalizations of the Pontryagin and Husain-Kuchař
actions on manifolds with boundary. In some cases, they describe well-known models …

The Chern Simons form as a topological invariant of three-manifolds first appeared in [1]. Its
use as a Lagrangian of a quantum field theory was done way back in'82 [2] in the context of …

Non-perturbative quantization of 3d gravity is studied in the first order formulation with
positive cosmological constant on the background topology of lens space, which is a three …