How delicate are the $f(R)$ gravity models with disappearing cosmological constant?

Abstract

We consider stability of spherically symmetric solutions in $f(R)$ gravity model proposed by Starobinsky. We find that the model suffers from a severe fine tuning problem when applied to compact objects like neutron stars. The problem can be remedied by introducing a cut off on the mass of the scalar degree of freedom present in the model. A new mass scale associated with neutron stars density is then required for the stabilities of $f(R)$ gravity solutions inside relativistic stars.

5 pages and no figures, minor clarification added, final version to appear in PRD

References in corpus (12)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Conditions for the cosmological viability of f(R) dark energy models
• Stability of Cosmological Solution in f(R) Models of Gravity
• A Singularity Problem with f(R) Dark Energy
• Relativistic stars in f(R) gravity, and absence thereof
• The existence of relativistic stars in f(R) gravity
• The behavior of $f(R)$ gravity in the solar system, galaxies and clusters
• 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
• Constraining $f(R)$ gravity models with disappearing cosmological constant
• On the stability of spherically symmetric spacetimes in metric f(R) gravity

Cited by in corpus (14)

• Modified Gravity and Cosmology
• f(R) theories
• Galileon gravity and its relevance to late time cosmic acceleration
• Dynamical behavior in mimetic F(R) gravity
• Modified gravity a la Galileon: Late time cosmic acceleration and observational constraints
• Cosmological evolution in R^2 gravity
• A transition from a decelerated to an accelerated phase of the universe expansion from the simplest non-trivial polynomial function of T in the f(R,T) formalism
• Explosive phenomena in modified gravity
• Cosmic History of Chameleonic Dark Matter in $F(R)$ Gravity
• Curvature Singularities from Gravitational Contraction in f(R) Gravity
• Curvature Oscillations in Modified Gravity and High Energy Cosmic Rays
• Particle Production in f(R) Gravity during Structure Formation
• Some Observable Effects of Modified Gravity in Cosmology and Astrophysics
• Scalar-field potential for viable models in $f(R)$ theory