Griffiths variational multisymplectic formulation for Lovelock gravity

Abstract

This work is mainly devoted to constructing a multisymplectic description of Lovelock’s gravity, which is an extension of General Relativity. We establish the 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.