First-order equivalent to Einstein-Hilbert Lagrangian
Differential Geometry
2013-06-06 v1
Abstract
A first-order Lagrangian variationally equivalent to the second-order Einstein-Hilbert Lagrangian is introduced. Such a Lagrangian depends on a symmetric linear connection, but the dependence is covariant under diffeomorphisms. The variational problem defined by is proved to be regular and its Hamiltonian formulation is studied, including its covariant Hamiltonian attached to .
Cite
@article{arxiv.1306.1123,
title = {First-order equivalent to Einstein-Hilbert Lagrangian},
author = {Marco Castrillon Lopez and Jaime Munoz Masque and Eugenia Rosado Maria},
journal= {arXiv preprint arXiv:1306.1123},
year = {2013}
}