Curvature singularities, tidal forces and the viability of Palatini f(R) gravity

Abstract

In a previous paper we showed that static spherically symmetric objects which, in the vicinity of their surface, are well-described by a polytropic equation of state with 3/2<Gamma<2 exhibit a curvature singularity in Palatini f(R) gravity. We argued that this casts serious doubt on the validity of Palatini f(R) gravity as a viable alternative to General Relativity. In the present paper we further investigate this characteristic of Palatini f(R) gravity in order to clarify its physical interpretation and consequences.

arXiv comment15 pages. CQG in press. Part of the material moved to an appendix, discussion on the meV scale predictions of Palatini f(R) gravity added

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• Good and bad tetrads in f(T) gravity
• Stellar structure models in modified theories of gravity: lessons and challenges
• Linearized f(R) Gravity: Gravitational Radiation & Solar System Tests
• Relativistic stars in f(R) gravity, and absence thereof
• Compact stars in alternative theories of gravity. Einstein-Dilaton-Gauss-Bonnet gravity
• Junction conditions for F(R)-gravity and their consequences
• Surface singularities in Eddington-inspired Born-Infeld gravity
• A bird's eye view of f(R)-gravity
• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
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• Junction conditions in Palatini $f(R)$ gravity
• 6+1 lessons from f(R) gravity
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• The post-Newtonian limit in C-theories of gravitation
• The dynamics of generalized Palatini Theories of Gravity
• Gravity with Auxiliary Fields
• Dark energy: investigation and modeling
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• Scalar field mass in generalized gravity
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• Birth of baby universes from gravitational collapse in a modified-gravity scenario
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• Some Recent Results on Ricci-Based Gravity Theories
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• Equation of State in the Presence of Gravity
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