标题： $κ(\mathcal{R},\mathcal{T})-$引力中稳定致密星体的可能存在性 显示英文标题

标题： Possible existence of stable compact stars in $κ(\mathcal{R},\mathcal{T})-$gravity

摘要： 我们提出了在$\kappa(\mathcal{R},\mathcal{T})$引力中表示致密星体的第一个内部解，通过求解各向同性坐标中的修改场方程。 此外，我们假设了施瓦茨希尔德形式的度规势以及一些参数和压力的各向同性条件。 为了求解，我们选择了运行引力常数为$\kappa(\mathcal{R},\mathcal{T})=8\pi-\lambda \mathcal{T} ~~(G=\tilde{c}=1)$。 一旦得到约简的场方程，我们研究了两个解，即$c=1$和$c \neq 1$，其中$c$在此处表示另一个常数，不应与光速混淆。 然后，我们通过确定热力学变量{\it 视觉}压力、密度、声速和绝热指数来研究每个解。 我们发现这些解满足邦迪准则、因果性条件和能量条件。 我们还发现，从这些解生成的$M-R$曲线满足由于中子星合并 GW 170817 而提供的严格约束。 显示英文摘要

摘要： We present the first interior solutions representing compact stars in $\kappa(\mathcal{R},\mathcal{T})$ gravity, by solving the modified field equations in isotropic coordinates. Further, we have assumed the metric potentials in Schwarzschild's form and a few parameters along with the isotropic condition of pressure. For solving, we use specific choice of the running gravitational constant as $\kappa(\mathcal{R},\mathcal{T})=8\pi-\lambda \mathcal{T} ~~(G=\tilde{c}=1)$. Once arrived at the reduced field equations, we investigate two solutions with $c=1$ and $c \neq 1$, where $c$ denotes here another constant that should not be confused with the speed of light. Then, we investigate each solution by determining the thermodynamics variable {\it viz} pressure, density, speed of sound, and adiabatic index. We found that these solutions satisfy the Bondi criterion, causality condition, and energy conditions. We also found that the $M-R$ curves generated from these solutions satisfy the stringent constraints provided by the gravitational wave observations due to the neutron star merger GW 170817.