论文标题
$κ（\ Mathcal {r}，\ Mathcal {t}）可能存在稳定的紧凑型星星 - $ GRAVITY
Possible existence of stable compact stars in $κ(\mathcal{R},\mathcal{T})-$gravity
论文作者
论文摘要
我们通过求解各向同性坐标中的修改场方程，介绍了代表$κ（\ Mathcal {r}，\ Mathcal {t}）$重力的第一个内部解决方案。此外，我们已经假设了Schwarzschild形式的度量电位以及一些参数以及压力的各向同性条件。为了求解，我们将运行重力常数的特定选择作为$κ（\ Mathcal {r}，\ Mathcal {t}）=8π-λ\ Mathcal {t} ~~（g = \ tilde {c} = 1）$。到达还原的场方程后，我们研究了两种解决方案，其中$ c = 1 $和$ c \ neq 1 $，其中$ c $在这里表示另一个不应与光速相混淆的常数。然后，我们通过确定热力学变量{\ it}压力，密度，声音速度和绝热指数来研究每个溶液。我们发现这些解决方案满足邦迪标准，因果关系条件和能量条件。我们还发现，这些解决方案产生的$ M-R曲线满足了由于中子星合并GW 170817而引起的重力波观测所提供的严格约束。
We present the first interior solutions representing compact stars in $κ(\mathcal{R},\mathcal{T})$ 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 $κ(\mathcal{R},\mathcal{T})=8π-λ\mathcal{T} ~~(G=\tilde{c}=1)$. 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.
