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arXiv · 1306.1123

First-order equivalent to Einstein-Hilbert Lagrangian

Marco Castrillon Lopez·Jaime Munoz Masque·Eugenia Rosado Maria
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Abstract

A first-order Lagrangian $L^\nabla $ 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 $L^\nabla $ is proved to be regular and its Hamiltonian formulation is studied, including its covariant Hamiltonian attached to $\nabla $.

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Marco Castrillon Lopez, Jaime Munoz Masque, Eugenia Rosado Maria. 2013-06-05. First-order equivalent to Einstein-Hilbert Lagrangian. https://arxiv.org/abs/1306.1123

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