Ghosts in metric-affine higher order curvature gravity

Abstract

We disprove the widespread belief that higher order curvature theories of gravity in the metric-affine formalism are generally ghost-free. This is clarified by considering a sub-class of theories constructed only with the Ricci tensor and showing that the non-projectively invariant sector propagates ghost-like degrees of freedom. We also explain how these pathologies can be avoided either by imposing a projective symmetry or additional constraints in the gravity sector. Our results put forward that higher order curvature gravity theories generally remain pathological in the metric-affine (and hybrid) formalisms and highlight the key importance of the projective symmetry and/or additional constraints for their physical viability and, by extension, of general metric-affine theories.

7 pages

References in corpus (28)

• Resummation of Massive Gravity
• Generalized G-inflation: Inflation with the most general second-order field equations
• Bimetric Gravity from Ghost-free Massive Gravity
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Accelerated Cosmological Models in Ricci squared Gravity
• Derivative self-interactions for a massive vector field
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Hybrid metric-Palatini gravity
• New insights on the matter-gravity coupling paradigm
• Observable traces of non-metricity: new constraints on metric-affine gravity
• Nonsymmetric Gravity Theories: Inconsistencies and a Cure
• Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
• Reissner-Nordström black holes in extended Palatini theories
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Palatini versus metric formulation in higher curvature gravity
• Universality of Einstein Equations for the Ricci Squared Lagrangians
• Stability of Horndeski vector-tensor interactions
• Born-Infeld gravity and its functional extensions
• Ghosts in pure and hybrid formalisms of gravity theories: a unified analysis
• Nonsingular black holes in quadratic Palatini gravity
• The dynamics of generalized Palatini Theories of Gravity
• Importance of torsion and invariant volumes in Palatini theories of gravity
• Semiclassical geons as solitonic black hole remnants
• Infrared lessons for ultraviolet gravity: the case of massive gravity and Born-Infeld
• Modified Eddington-inspired-Born-Infeld Gravity with a Trace Term
• Dynamical generation of wormholes with charged fluids in quadratic Palatini gravity
• Linearisation Instabilities of the Massive Nonsymmetric Gravitational Theory

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• Constraints on metric-affine gravity black holes from the stellar motion at the Galactic Center
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• Non-metricity effects on electron scattering in bumblebee gravity
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• Gravitational waves in Palatini gravity for a non-minimal geometry-matter coupling