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arXiv 1309.1978gr-qcastro-ph.COhep-th
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从f(R)引力进一步稳定的中子星模型

Further stable neutron star models from f(R) gravity

Artyom V. Astashenok, Salvatore Capozziello, Sergei D. Odintsov

摘要:

本文用真实的状态方程研究了微扰$f(R)$引力作用下的中子星模型。特别地,我们考虑了FPS,SLy和其他状态方程和一个具有夸克核的星的分段状态方程。得到了$f(R)=R+R(e^{-R/R_{0}}-1)$模型和具有对数修正和立方修正的$R^2$模型的质量-半径关系。在三次修正的$R^2$引力情况下,我们得到在高中心密度($ρ>10ρ_{ns}$,其中$ρ_{ns}=2.7\times 10^{14}$ g/cm $^{3}$是核饱和密度)下,稳定的恒星构型存在。这类恒星的最小半径接近最大质量为$\sim 1.9 M_{\odot}$的$9$ km(SLy方程)。AP 4和BSK 20 EoS也有类似的情况。这样的效应可以产生比广义相对论更多的致密恒星。如果在观测上得到确认,这类天体可能会在天体物理学层面上构成修正引力的一个强大特征。另一个有趣的结果可以实现在修改的重力只有一个立方修正。对于某些EoS,中子星质量的上限增加,因此这些EoS可以描述真实的恒星配置(尽管在广义相对论中,这些EoS被观测约束排除在外)。

英文摘要:

Neutron star models in perturbative $f(R)$ gravity are considered with realistic equations of state. In particular, we consider the FPS, SLy and other equations of state and a case of piecewise equation of state for stars with quark cores. The mass-radius relations for $f(R)=R+R(e^{-R/R_{0}}-1)$ model and for $R^2$ models with logarithmic and cubic corrections are obtained. In the case of $R^2$ gravity with cubic corrections, we obtain that at high central densities ($ρ>10ρ_{ns}$, where $ρ_{ns}=2.7\times 10^{14}$ g/cm$^{3}$ is the nuclear saturation density), stable star configurations exist. The minimal radius of such stars is close to $9$ km with maximal mass $\sim 1.9 M_{\odot}$ (SLy equation). A similar situation takes place for AP4 and BSK20 EoS. Such an effect can give rise to more compact stars than in General Relativity. If observationally identified, such objects could constitute a formidable signature for modified gravity at astrophysical level. Another interesting result can be achieved in modified gravity with only a cubic correction. For some EoS, the upper limit of neutron star mass increases and therefore these EoS can describe realistic star configurations (although, in General Relativity, these EoS are excluded by observational constraints).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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