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 (20)

• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Testing the no-hair theorem with black hole ringdowns using TIGER
• 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
• Raychaudhuri equation in spacetimes with torsion
• Filtering out the cosmological constant in the Palatini formalism of modified gravity
• Probing Geometric Proca in Metric-Palatini Gravity with Black Hole Shadow and Photon Motion
• R^n gravity and the chameleon
• Constraints on Metric-Palatini Gravity from QPO Data
• Stability of non-degenerate Ricci-type Palatini theories
• Geometric Proca with Matter in Metric-Palatini Gravity
• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• Einstein-Proca theory from the Einstein-Cartan formulation
• Primordial Gravitational Waves in Generalized Palatini Gravity
• Spinning Particles around Einstein-Geometric Proca AdS Compact Objects
• Hamiltonian analysis of metric-affine-$R^2$ theory
• Modified Palatini action that gives the Einstein-Maxwell theory
• Thermodynamics of Einstein-Geometric Proca AdS compact objects
• Tidal heating in a Riemann-Cartan spacetime