Relativistic stars in f(R) gravity, and absence thereof

Abstract

Several f(R) modified gravity models have been proposed which realize the correct cosmological evolution and satisfy solar system and laboratory tests. Although nonrelativistic stellar configurations can be constructed, we argue that relativistic stars cannot be present in such f(R) theories. This problem appears due to the dynamics of the effective scalar degree of freedom in the strong gravity regime. Our claim thus raises doubts on the viability of f(R) models.

9 pages, 7 figures, v2: references added, minor corrections, version accepted for publication in PRD

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• Searching for modified growth patterns with tomographic surveys
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• The existence of relativistic stars in f(R) gravity
• Newtonian limit of nonlocal cosmology
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• f(R) gravity: successes and challenges
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• Problems with Modified Theories of Gravity, as Alternatives to Dark Energy
• A primer on problems and prospects of dark energy