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arXiv 1003.3179gr-qcastro-ph.HE
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中子星对微扰f(R)引力的约束

Constraints on Perturbative f(R) Gravity via Neutron Stars

A. Savas Arapoglu, Cemsinan Deliduman, K. Yavuz Eksi

摘要:

本文在微扰f(R)引力模型下,用真实的状态方程研究了中子星的结构。我们得到了形式为f(R)=R+αR^2的引力模型中的质量-半径关系。我们发现,在|alpha| ~ 10 ^9 cm ^2范围内,产生了与广义相对论结果相当的偏差,这种偏差与使用不同状态方程(EoS ')所引起的偏差相当。一些被排除在广义相对论框架之外的软EoS'可以与最近在这个范围内的某些α值下观察到的2太阳质量的中子星相一致。对于某些EoS,我们发现当α值大于几个10 ^9 cm ^2时,存在一个新的解分支,它允许存在大质量的中子星。我们发现限制α的各种EoS'使用最近的观测约束的质量半径关系。这些都比最近通过重力探测器B获得的重力模型的约束小5个数量级。相关的长度尺度\sqrt{alpha} ~ 10^5 cm,仅比本次测试中使用的探测器中子星的典型半径小一个数量级。这意味着,与广义相对论的实际偏差可能更小。

英文摘要:

We study the structure of neutron stars in perturbative f(R) gravity models with realistic equations of state. We obtain mass-radius relations in a gravity model of the form f(R)=R+αR^2. We find that deviations from the results of general relativity, comparable to the variations due to using different equations of state (EoS'), are induced for |alpha| ~ 10^9 cm^2. Some of the soft EoS' that are excluded within the framework of general relativity can be reconciled with the 2 solar mass neutron star recently observed for certain values of alpha within this range. For some of the EoS' we find that a new solution branch, which allows highly massive neutron stars, exists for values of alpha greater than a few 10^9 cm^2. We find constraints on alpha for a variety of EoS' using the recent observational constraints on the mass-radius relation. These are all 5 orders of magnitude smaller than the recent constraint obtained via Gravity Probe B for this gravity model. The associated length scale \sqrt{alpha} ~ 10^5 cm is only an order of magnitude smaller than the typical radius of a neutron star, the probe used in this test. This implies that real deviations from general relativity can be even smaller.

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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