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arXiv · 1911.07278

Griffiths Variational Multisymplectic Formulation for Lovelock Gravity

Santiago Capriotti·Jordi Gaset·Narciso Román-Roy·Leandro Salomone
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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.

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BibTeXRIS

Santiago Capriotti, Jordi Gaset, Narciso Román-Roy, Leandro Salomone. 2019-11-17. Griffiths Variational Multisymplectic Formulation for Lovelock Gravity. https://doi.org/10.1007/s10714-020-02725-8

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