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 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.

arXiv comment37 pp. Some shorts comments are added. Minor corrections. The bibliography is updated and a reference has been added

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Cited by in corpus (4)

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• Multisymplectic formulation of Lagrangian models in gravitation