The dynamics of generalized Palatini Theories of Gravity

Abstract

It is known that in f(R) theories of gravity with an independent connection which can be both non-metric and non symmetric, this connection can always be algebraically eliminated in favour of the metric and the matter fields, so long as it is not coupled to the matter explicitly. We show here that this is a special characteristic of f(R) actions, and it is not true for actions that include other curvature invariants. This contradicts some recent claims in the literature. We clarify the reasons of this contradiction.

v1: 6 pages; v2: minor changes to match published version

References in corpus (13)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Metric-affine f(R) theories of gravity
• The matter power spectrum in f(R) gravity
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Theory of gravitation theories: a no-progress report
• Curvature scalar instability in f(R) gravity
• Dynamical Aspects of Generalized Palatini Theories of Gravity
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• How (Not) to Palatini
• 6+1 lessons from f(R) gravity
• The metric-affine formalism of f(R) gravity

Cited by in corpus (6)

• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Unifying Einstein and Palatini gravities
• A tensor instability in the Eddington inspired Born-Infeld Theory of Gravity
• Filtering out the cosmological constant in the Palatini formalism of modified gravity
• R^n gravity and the chameleon