The Legendre transformation method, applied in 1987 to deal with purely metric grav- itational Lagrangians with nonlinear dependence on the Ricci tensor, is extended to metric-affine models and is shown to provide a concise and insightful comparison of the dynamical content of the two variational frameworks.
Nonlinear Gravitational Lagrangians revisited
MAGNANO, Guido
2016-01-01
Abstract
The Legendre transformation method, applied in 1987 to deal with purely metric grav- itational Lagrangians with nonlinear dependence on the Ricci tensor, is extended to metric-affine models and is shown to provide a concise and insightful comparison of the dynamical content of the two variational frameworks.
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