Griffiths Variational Multisymplectic Formulation for Lovelock Gravity
arXiv:1911.07278 · doi:10.1007/s10714-020-02725-8
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.
37 pp. Some shorts comments are added. Minor corrections. The bibliography is updated and a reference has been added