A Lorentz and general coordinate covariant form of canonical gravity, using Ashtekar's variables, is investigated. A covariant treatment due to Crnkovic and Witten is used, in which a point in phase space represents a solution of the equations of motion and a symplectic functional 2-form is constructed, which is Lorentz and general coordinate invariant. The subtleties and difficulties due to the complex nature of Ashtekar's variables are addressed and resolved
This paper presents a brief review of current results on the canonical quantization of general relat...
We establish an equivalence between the Hamiltonian formulation of the Plebanski action for general ...
The Einstein action is expressed in canonical form using the vierbein fields as basic variables. In ...
A Lorentz and general coordinate covariant form of canonical gravity, using Ashtekar's variables, is...
Hamiltonian gravity, relying on arbitrary choices of ‘space,’ can obscure spacetime symmetries. We p...
A manifestly covariant Lagrangian is presented which leads to the reformulation of canonical general...
The Lagrangian formulation of classical field theories and in particular general relativity leads to...
A covariant hamiltonian description was introduced in the dynamics of charges and electromagnetic in...
A manifestly diffeomorphism invariant extension of Einstein gravity is constructed, which includes s...
We heuristically discuss the Ashtekar type canonical analysis of gravity using temporal foliations i...
The Ashtekar variables have been use to find a number of exact solutions in quantum gravity and quan...
In Ashtekar's Hamiltonian formulation of general relativity, and in loop quantum gravity, Lorentz co...
The canonical transformation of the phase space of general relativity introduced by Ashtekar is exte...
International audienceWe study covariant models for vacuum spherical gravity within a canonical sett...
We discuss reality conditions and the relation between spacetime diffeomorphisms and gauge transform...
This paper presents a brief review of current results on the canonical quantization of general relat...
We establish an equivalence between the Hamiltonian formulation of the Plebanski action for general ...
The Einstein action is expressed in canonical form using the vierbein fields as basic variables. In ...
A Lorentz and general coordinate covariant form of canonical gravity, using Ashtekar's variables, is...
Hamiltonian gravity, relying on arbitrary choices of ‘space,’ can obscure spacetime symmetries. We p...
A manifestly covariant Lagrangian is presented which leads to the reformulation of canonical general...
The Lagrangian formulation of classical field theories and in particular general relativity leads to...
A covariant hamiltonian description was introduced in the dynamics of charges and electromagnetic in...
A manifestly diffeomorphism invariant extension of Einstein gravity is constructed, which includes s...
We heuristically discuss the Ashtekar type canonical analysis of gravity using temporal foliations i...
The Ashtekar variables have been use to find a number of exact solutions in quantum gravity and quan...
In Ashtekar's Hamiltonian formulation of general relativity, and in loop quantum gravity, Lorentz co...
The canonical transformation of the phase space of general relativity introduced by Ashtekar is exte...
International audienceWe study covariant models for vacuum spherical gravity within a canonical sett...
We discuss reality conditions and the relation between spacetime diffeomorphisms and gauge transform...
This paper presents a brief review of current results on the canonical quantization of general relat...
We establish an equivalence between the Hamiltonian formulation of the Plebanski action for general ...
The Einstein action is expressed in canonical form using the vierbein fields as basic variables. In ...
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