# Involutive constrained systems and Hamilton-Jacobi formalism

@article{Bertin2008InvolutiveCS, title={Involutive constrained systems and Hamilton-Jacobi formalism}, author={Mario Cezar Bertin and Bruito M. Pimentel and Carlos Valc'arcel}, journal={Journal of Mathematical Physics}, year={2008}, volume={55}, pages={112901} }

In this paper, we study singular systems with complete sets of involutive constraints. The aim is to establish, within the Hamilton-Jacobi theory, the relationship between the Frobenius’ theorem, the infinitesimal canonical transformations generated by constraints in involution with the Poisson brackets, and the lagrangian point (gauge) transformations of physical systems.

## 16 Citations

### Hamilton–Jacobi analysis for three dimensional gravity without dynamics

- PhysicsAnnals of Physics
- 2019

### Topologically massive Yang-Mills: A Hamilton-Jacobi constraint analysis

- Physics
- 2014

We analyse the constraint structure of the topologically massive Yang-Mills theory in instant-form and null-plane dynamics via the Hamilton-Jacobi formalism. The complete set of hamiltonians that…

### Three-dimensional background field gravity: a Hamilton--Jacobi analysis

- Physics
- 2012

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…

### Hamilton–Jacobi approach for linearly acceleration-dependent Lagrangians

- MathematicsAnnals of Physics
- 2021

### The Hamilton-Jacobi analysis and canonical covariant description for three-dimensional Palatini theory plus a Chern-Simons term

- PhysicsThe European Physical Journal Plus
- 2019

Abstract.By using the Hamilton-Jacobi (HJ) framework the three-dimensional Palatini theory plus a Chern-Simons term (PCS) is analyzed. We report the complete set of HJ Hamiltonians and a generalized…

### Hamilton-Jacobi analysis of the four-dimensional BF model with cosmological term

- Physics, Mathematics
- 2017

Abstract.In this work we perform the Hamilton-Jacobi constraint analysis of the four-dimensional Background Field (BF model with cosmological term. We obtain the complete set of involutive…

### The Hamilton–Jacobi characteristic equations for topological invariants: Pontryagin and Euler classes

- Mathematics
- 2019

### Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action

- MathematicsThe European Physical Journal Plus
- 2020

In this work, we perform the Hamilton–Jacobi analysis of a modified gravity action, the so-called Freidel–Starodubtsev model. The complete set of involutive Hamiltonians that guarantee the system’s…

### The Hamilton–Jacobi characteristic equations for three-dimensional Ashtekar gravity

- Physics
- 2020

The Hamilton–Jacobi analysis of three-dimensional gravity defined in terms of Ashtekar-like variables is performed. We report a detailed analysis where the complete set of Hamilton–Jacobi…

### The Hamilton-Jacobi analysis for higher-order modified gravity

- Physics
- 2023

The Hamilton-Jacobi [ HJ ] study for the Chern-Simons [ CS ] modiﬁcation of general relativity [ GR ] is performed. The complete structure of the Hamiltonians and the generalized brackets are…

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We analyse the constraint structure of the topologically massive Yang-Mills theory in instant-form and null-plane dynamics via the Hamilton-Jacobi formalism. The complete set of hamiltonians that…

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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…

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