37 citations · 105 across the 6 of their papers we have counts for
6 papers
A Lagrangian formulation for Rastall gravity and a covariant formulation for unimodular gravity
Juilson A. P. Paiva, Julio C. Fabris, Vilson T. Zanchin
We propose a Lagrangian formulation for a non-conservative gravity model in which the divergence of the energy-momentum tensor in curved spacetime does not vanish. This is accompli…
Generalized nonconservative gravitational field equations from Herglotz action principle
Juilson A. P. Paiva, Matheus J. Lazo, Vilson T. Zanchin
We present an alternative nonconservative gravitational theory based on the Herglotz variational principle in a fully covariant form. The present model may be seen as an improvemen…
Noether theorem for action-dependent Lagrangian functions: conservation laws for non-conservative systems
M. J. Lazo, J. Paiva, G. S. F. Frederico
In the present work, we formulate a generalization of the Noether Theorem for action-dependent Lagrangian functions. The Noether's theorem is one of the most important theorems for…
An Action Principle for Action-dependent Lagrangians: toward an Action Principle to non-conservative systems
Matheus J. Lazo, Juilson Paiva, João T. S. Amaral +1
In this work, we propose an Action Principle for Action-dependent Lagrangian functions by generalizing the Herglotz variational problem to the case with several independent variabl…
From an Action Principle for Action-dependent Lagrangians toward non-conservative Gravity: accelerating Universe without dark energy
Matheus J. Lazo, Juilson Paiva, João T. S. Amaral +1
In the present work, we propose an Action Principle for Action-dependent Lagrangians by generalizing the Herglotz variational problem for several independent variables. This Action…
Constants of motion for Isoperimetric Variational Problems with Time Delay
G. S. F. Frederico, M. J. Lazo, M. N. F. Barreto +1
In the present work, we obtain the constants of motion for isoperimetric variational problems with time delay. We consider a constrained optimization problem where the Lagrangian f…