41 citations · 187 across the 12 of their papers we have counts for
12 papers
Reduced-order Bopp-Podolsky model on the null-plane
Mario C. Bertin, Ronaldo Thibes
We consider the null-plane dynamics for a reduced-order version of the higher-derivatives Bopp-Podoslky generalized electrodynamics model. By introducing an auxiliary vector field,…
Hamilton-Jacobi formalism for Podolsky's electromagnetic theory on the null-plane
M. C. Bertin, B. M. Pimentel, C. E. Valcárcel +1
We develop the Hamilton-Jacobi formalism for Podolsky's electromagnetic theory on the null-plane. The main goal is to build the complete set of Hamiltonian generators of the system…
Involutive constrained systems and Hamilton-Jacobi formalism
M. C. Bertin, B. M. Pimentel, C. E. Valcárcel
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 Frob…
Construction of dynamical invariants for the time-dependent harmonic oscillator with a time-dependent driven force
M. C. Bertin, B. M. Pimentel, J. A. Ramirez
We construct the linear and quadratic polynomial dynamical invariants for the classical and quantum time-dependent harmonic oscillator driven by a time-dependent force. To obtain t…
Lobachevsky holography in conformal Chern-Simons gravity
Mario Bertin, Sabine Ertl, Hossein Ghorbani +3
We propose Lobachevsky boundary conditions that lead to asymptotically H^2xR solutions. As an example we check their consistency in conformal Chern-Simons gravity. The canonical ch…
Hamilton-Jacobi formalism for Linearized Gravity
M. C. Bertin, B. M. Pimentel, C. E. Valcárcel +1
In this work we study the theory of linearized gravity via the Hamilton-Jacobi formalism. We make a brief review of this theory and its Lagrangian description, as well as a review…