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.

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

References in corpus (12)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Metric-affine f(R) theories of gravity
• Limit to General Relativity in 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
• Spherically symmetric spacetimes in f(R) gravity theories
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Curvature scalar instability in f(R) gravity
• Constraints on f(R) Cosmology in the Palatini Formalism
• How (Not) to Palatini
• The metric-affine formalism of f(R) gravity
• Constraining Extended Theories of Gravity using Solar System Tests

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• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• Junction conditions in Palatini $f(R)$ gravity
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