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Three-dimensional background field gravity: A Hamilton - Jacobi analysis
(2015-09-24)
We analyse the constraint structure of the background field model for three-dimensional gravity including a cosmological term via the Hamilton - Jacobi formalism. We find the complete set of involutive Hamiltonians that ...
Hamilton–Jacobi theory and integrability for autonomous and non-autonomous contact systems
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems following two approaches, obtaining ...
Estudo sobre a teoria de vínculos de Hamilton-Jacobi
(Universidade Estadual Paulista (UNESP), 2015)
Existence of isotropic complete solutions of the Π-Hamilton–Jacobi equation
(Elsevier Science, 2020-02)
Consider a symplectic manifold M, a Hamiltonian vector field X and a fibration Π:M→N. Related to these data we have a generalized version of the (time-independent) Hamilton–Jacobi equation: the Π-HJE for X, whose unknown ...
Supersymmetric quantum solution for frw cosmological model with matter
(Revista Mexicana de Física, 2009)
Holographic Wilson loops, Hamilton-Jacobi equation, and regularizations
(American Physical Society, 2016-04)
The minimal area for surfaces whose borders are rectangular and circular loops are calculated using the Hamilton-Jacobi (HJ) equation. This amounts to solving the HJ equation for the value of the minimal area, without ...
General relativity in two dimensions: A Hamilton-Jacobi analysis
(Academic Press Inc. Elsevier B.V., 2010-11-01)
We analyzed the constraint structure of the Einstein-Hilbert first-order action in two dimensions using the Hamilton-Jacobi approach. We were able to find a set of involutive, as well as a set of non-involutive constraints. ...
General relativity in two dimensions: A Hamilton-Jacobi analysis
(Academic Press Inc. Elsevier B.V., 2010-11-01)
We analyzed the constraint structure of the Einstein-Hilbert first-order action in two dimensions using the Hamilton-Jacobi approach. We were able to find a set of involutive, as well as a set of non-involutive constraints. ...
Extended Hamilton-Jacobi theory, contact manifolds, and integrability by quadratures
(American Institute of Physics, 2020-01)
A Hamilton-Jacobi theory for general dynamical systems, defined on fibered phase spaces, has been recently developed. In this paper, we shall apply such a theory to contact Hamiltonian systems, as those appearing in ...