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

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

2009-08-12

arxiv.org/abs/0908.1693v2

Phys.Rev.D80:127501,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.80.127501

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.

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