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arXiv 1804.04060gr-qcastro-ph.HE
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$R^2$引力下中子星的轴向准简正模

Axial quasi-normal modes of neutron stars in $R^2$ gravity

Jose Luis Blázquez-Salcedo, Daniela D. Doneva, Jutta Kunz, Kalin V. Staykov, Stoytcho S. Yazadjiev

摘要:

本文用大量的状态方程研究了$f(R)$引力场中中子星的轴向准简正模。数值计算是使用两种不同的方法-执行时间演化的扰动方程和求解的时间无关的表示方程作为一个边值问题。结果表明,与纯广义相对论情形相比,该理论的模态频率和阻尼时间随自由参数的增大而减小。虽然频率明显偏离爱因斯坦理论的所有现实中子星质量(说以上$1M_\odot$),阻尼时间达到不可忽略的差异,只有更大的质量模型。我们还建立了包含频率和阻尼时间的普适(状态方程无关)引力波星震学关系。结果表明,使用与纯广义相对论相同的归一化,状态方程的独立性得以保持,并且对于$f(R)$引力中的自由参数的大值,与爱因斯坦引力理论的唯象关系的定性差异可能很大。

英文摘要:

In the present paper the axial quasi-normal modes of neutron stars in $f(R)$ gravity are examined using a large set of equations of state. The numerical calculations are made using two different approaches -- performing time evolution of the perturbation equations and solving the time-independent representation of the equations as a boundary value problem. According to the results the mode frequencies and the damping times decrease with the increase of the free parameter of the theory in comparison to the pure general relativistic case. While the frequencies deviate significantly from Einstein's theory for all realistic neutron star masses (say above $1M_\odot$), the damping times reach non-negligible differences only for the more massive models. We have constructed as well universal (equation of state independent) gravitational wave asteroseismology relations involving the frequencies and the damping times. It turns out that the equation of state independence is preserved using the same normalization as in pure general relativity and the qualitative differences of the phenomenological relations with respect to Einstein's theory of gravity can be large for large values of the free parameter in $f(R)$ 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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