论文标题
$ f（r，t）= r+2βT$重力中紧凑型恒星的径向振荡和稳定性
Radial oscillations and stability of compact stars in $f(R, T) = R+ 2βT$ gravity
论文作者
论文摘要
我们在$ f（r，t）$重力的背景下检查紧凑型恒星的静态结构配置和径向稳定性，$ r $和$ t $分别用于RICCI标量和能量巨型张量的痕迹。考虑到$ f（r，t）= r+2βT$函数形式，$β$是常数，我们得出相应的静水平衡方程和修改的chandrasekhar的脉动方程。对于某些现实的状态方程，获得了质量 - 拉迪乌斯关系和径向模式频率。我们的结果表明，传统的恒星稳定性标准，即必要的条件$ dm/dρ_c> 0 $和足够的条件$ω^2> 0 $，仍然存在于这种重力理论中。
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.
