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.

arXiv commentv1: 6 pages; v2: minor changes to match published version

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• Ghosts in metric-affine higher order curvature gravity
• Extended Gauss-Bonnet gravities in Weyl geometry
• Instabilities in Metric-Affine Theories of Gravity
• Unifying Einstein and Palatini gravities
• Reissner-Nordström black holes in extended Palatini theories
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• Importance of torsion and invariant volumes in Palatini theories of gravity
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• Reversible and Irreversible Spacetime Thermodynamics for General Brans-Dicke Theories
• Palatini Actions and Quantum Gravity Phenomenology
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• Constraints on Metric-Palatini Gravity from QPO Data
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• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• Einstein-Proca theory from the Einstein-Cartan formulation
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• Dynamical Couplings, Dynamical Vacuum Energy and Confinement/Deconfinement from R^2-Gravity
• The cosmological constant filter without big bang singularity
• Spinning Particles around Einstein-Geometric Proca AdS Compact Objects
• Primordial Gravitational Waves in Generalized Palatini Gravity
• Hamiltonian analysis of metric-affine-$R^2$ theory
• Modified Palatini action that gives the Einstein-Maxwell theory
• Tidal heating in a Riemann-Cartan spacetime
• Non-singular Universes a la Palatini
• Thermodynamics of Einstein-Geometric Proca AdS compact objects
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