Griffiths Variational Multisymplectic Formulation for Lovelock Gravity
Mathematical Physics
2020-10-05 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
This work is mainly devoted to constructing a multisymplectic description of Lovelock's gravity, which is an extension of General Relativity. We establish a Griffiths variational problem for the Lovelock Lagrangian, obtaining the geometric form of the corresponding field equations. We give the unified Lagrangian--Hamiltonian formulation of this model and we study the correspondence between the unified formulations for the Einstein--Hilbert and the Einstein--Palatini models of gravity.
Cite
@article{arxiv.1911.07278,
title = {Griffiths Variational Multisymplectic Formulation for Lovelock Gravity},
author = {Santiago Capriotti and Jordi Gaset and Narciso Román-Roy and Leandro Salomone},
journal= {arXiv preprint arXiv:1911.07278},
year = {2020}
}
Comments
37 pp. Some shorts comments are added. Minor corrections. The bibliography is updated and a reference has been added