First-order equivalent to Einstein-Hilbert Lagrangian

2013/06/05 by Lopez, Marco Castrillon, Masque, Jaime Munoz, Maria, Eugenia Rosado
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1306.1123

Abstract

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

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