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arXiv 1407.2180gr-qcastro-ph.HE
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在$R^2$引力中慢旋转的中子星和奇异星

Slowly rotating neutron and strange stars in $R^2$ gravity

Kalin V. Staykov, Daniela D. Doneva, Stoytcho S. Yazadjiev, Kostas D. Kokkotas

摘要:

本文研究了自洽慢转中子星和奇异星在R平方引力中的运动。为此,我们首先推导出描述缓慢旋转致密星在$f(R)$ -引力作用下结构的方程,然后同时求解外部和内部问题。在两种不同的强子状态方程和一种奇异物质状态方程下,研究了慢转中子星的结构。详细讨论了转动惯量及其对恒星质量和$R$平方引力参数$a$的依赖关系。我们发现,中子星的转动惯量的参数$a$的大值可以高达$30\%$更大的相比,相应的广义相对论模型。这比由$R$平方重力引起的最大质量变化高得多,并且超出了EOS的不确定性。这样,未来对致密恒星转动惯量的观测就可以让我们区分广义相对论和$f(R)$引力,更广泛地测试引力的强场机制。

英文摘要:

In the present paper we investigate self-consistently slowly rotating neutron and strange stars in R-squared gravity. For this purpose we first derive the equations describing the structure of the slowly rotating compact stars in $f(R)$-gravity and then simultaneously solve the exterior and the interior problem. The structure of the slowly rotating neutron stars is studied for two different hadronic equations of state and a strange matter equation of state. The moment of inertia and its dependence on the stellar mass and the $R$-squared gravity parameter $a$ is also examined in details. We find that the neutron star moment of inertia for large values of the parameter $a$ can be up to $30\%$ larger compared to the corresponding general relativistic models. This is much higher than the change in the maximum mass induced by $R$-squared gravity and is beyond the EOS uncertainty. In this way the future observations of the moment of inertia of compact stars could allow us to distinguish between general relativity and $f(R)$ gravity, and more generally to test the strong field regime of gravity.

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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