A Real Polynomial Formulation of General Relativity in terms of Connections
J. Fernando Barbero
Abstract
I show in this letter that it is possible to construct a Hamiltonian description for Lorentzian General Relativity in terms of two real SO(3) connections. The constraints are simple polynomials in the basic variables. The present framework gives us a new formulation of General Relativity that keeps some of the interesting features of the Ashtekar formulation without the complications associated with the complex character of the latter.
Create a lesson
Related papers
Gravitational-Wave Constraints on R2 Gravity
Pawan Kumar Gupta, Laura Sagunski
Axial black hole perturbations in purely-metric Horndeski theories
Héloïse Delaporte, Hugo Roussille
Inflationary attractors in metric-affine gravity
Ilaria Andrei, Christian Dioguardi
Born-Infeld black holes in bumblebee gravity
A. A. Araújo Filho, E. M. Siquieri, N. Heidari et al.
Quasi-equilibrium tidal folds of white dwarfs around rotating black holes in shift-symmetric Einstein--scalar--Gauss--Bonnet gravity
Shoupan Liu, Meilin Liu, Yu Wang et al.
Dipolar boson stars as static two-body systems: an effective-one-body description
Thibault Damour, Romain Gervalle, Tamanna Jain