宇宙学常数消失的$f(R)$引力模型有多精细？
How delicate are the $f(R)$ gravity models with disappearing cosmological constant?
摘要：
研究Starobinsky提出的$f(R)$引力模型球对称解的稳定性。我们发现，该模型受到严重的微调问题时，适用于紧凑的对象，如中子星。这个问题可以通过在模型中存在的标量自由度的质量上引入一个截止值来解决。相对论性恒星内部的$f(R)$引力解的稳定性需要一个新的与中子星密度相关的质量标度。
英文摘要：
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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