The variational structure of General Relativity is revisited. After discussing conditions which ensure that second-order Lagrangians linear in the second-order derivatives generate second-order field equations and first-order Poincare-Cartan forms, it is shown that the Hilbert Lagrangian of General Relativity satisfy these conditions. An equivalent first-order covariant Lagrangian formalism is shortly discussed.
The variational structure of general relativity
FERRARIS, Marco;FRANCAVIGLIA, Mauro
1991-01-01
Abstract
The variational structure of General Relativity is revisited. After discussing conditions which ensure that second-order Lagrangians linear in the second-order derivatives generate second-order field equations and first-order Poincare-Cartan forms, it is shown that the Hilbert Lagrangian of General Relativity satisfy these conditions. An equivalent first-order covariant Lagrangian formalism is shortly discussed.
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