Nonlinear Gravitational Lagrangians revisited

Abstract

The Legendre transformation method, applied in 1987 to deal with purely metric gravitational 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.

Variational principles and conservation laws in General Relativity - Workshop in memory of Prof. Mauro Francaviglia - Torino, June 25th-26th, 2015

References in corpus (4)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Nonlinear massive spin-two field generated by higher derivative gravity
• Extended Gravity

Cited by in corpus (2)

• Test-field limit of metric nonlinear gravity theories
• On the "Legendre scalarization" of nonlinear gravity theories