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arXiv 2012.03342gr-qc
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$f(R, T) = R+ 2βT$引力下致密星的径向振荡和稳定性

Radial oscillations and stability of compact stars in $f(R, T) = R+ 2βT$ gravity

Juan M. Z. Pretel, Sergio E. Jorás, Ribamar R. R. Reis, José D. V. Arbañil

摘要:

我们在$f(R, T)$引力的背景下研究致密星的静态结构构型和径向稳定性,其中$R$和$T$分别代表Ricci标量和能量动量张量的迹.考虑到$f(R, T)=R+2βT$的泛函形式,以$β$为常数,导出了相应的流体静力学平衡方程和修正的Brachasekhar脉动方程。对于一些实际的状态方程,得到了质量-半径关系和径向模态频率。结果表明,传统的恒星稳定性判据,即必要条件$dM/dρ_c >0$和充分条件$ω^2 >0$在该引力理论中仍然成立。

英文摘要:

We examine the static structure configurations and radial stability of compact stars within the context of $f(R, T)$ gravity, with $R$ and $T$ standing for the Ricci scalar and trace of the energy-momentum tensor, respectively. Considering the $f(R, T)=R+2βT$ functional form, with $β$ being a constant, we derive the corresponding hydrostatic equilibrium equation and the modified Chandrasekhar's pulsation equation. The mass-radius relations and radial mode frequencies are obtained for some realistic equations of state. Our results show that the traditional stellar stability criteria, namely, the necessary condition $dM/dρ_c >0$ and sufficient condition $ω^2 >0$, still hold in this theory 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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