108 citations · 945 across the 67 of their papers we have counts for
67 papers
From Holst to Carroll Gravity, a Hamiltonian point of view
J. Fernando Barbero G, Juan Margalef-Bentabol, Valle Varo +1
The Carrollian regime of gravity provides a useful ultrarelativistic framework for studying asymptotically flat spacetimes, horizon dynamics, and condensed matter systems. In this…
Husain-Kuchař model as the Carrollian limit of the Holst term
J. Fernando Barbero G., Juan Margalef-Bentabol, Aitor Vicente-Cano +1
We show how the Husain-Kuchař model can be understood as a Carrollian limit of the Holst term in the context of background-independent field theories described in terms of coframes…
Hidden diffeos in the Hamiltonian formulation of a background independent field theory
J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol +1
We analyze from a geometric perspective the Hamiltonian formulation of a recent modification of the Husain-Kuchař model where, while preserving the connection as a dynamical variab…
Dynamical time and Ashtekar variables for the Husain-Kuchař model
J. Fernando Barbero G., Juan Margalef-Bentabol, Aitor Vicente-Cano +1
The relation between the Husain-Kuchař model and some extensions thereof that incorporate a dynamical time variable is explored. To this end, we rely on the geometric approach to t…
Euclidean self-dual gravity: Ashtekar variables without gauge fixing
J. Fernando Barbero G., Marc Basquens, Eduardo J. S. Villaseñor
The Gotay-Nester-Hinds method is used in this paper to study the Hamiltonian formulation of the Euclidean self-dual action. This action can be used to arrive at the complex Ashteka…
Poisson brackets in Sobolev spaces: a mock holonomy-flux algebra
J Fernando Barbero G, Marc Basquens, Bogar Díaz +1
The purpose of this paper is to discuss a number of issues that crop up in the computation of Poisson brackets in field theories. This is specially important for the canonical appr…