论文标题
$ f（r）= r^{1+ε} $重力中的各向异性夸克星星
Anisotropic quark stars in $f(R)= R^{1+ε}$ gravity
论文作者
论文摘要
在$ f（r）$重力理论的公制形式主义中，其中$ r $是RICCI标量，我们研究紧凑型恒星的静水平衡结构，包括各向异性压力。特别是，我们专注于$ f（r）= r^{1+ε} $模型，并检查了$ \vertε\ vert \ ll 1 $的一般相对（gr）的小偏差。质量功能的合适定义是根据场方程明确提出的，并且选择了每个恒星中心的RICCI标量值，以便满足渐近平坦的要求。我们发现，相对于一般的相对论对应物，紧凑型恒星的质量和半径都更大。此外，我们指出，由于各向异性引起的重大变化主要发生在高中心密度区域。
Within the metric formalism of $f(R)$ theories of gravity, where $R$ is the Ricci scalar, we study the hydrostatic equilibrium structure of compact stars with the inclusion of anisotropic pressure. In particular, we focus on the $f(R)= R^{1+ε}$ model and we examine small deviations from General Relativity (GR) for $\vert ε\vert \ll 1$. A suitable definition of mass function is explicitly formulated from the field equations and the value of the Ricci scalar at the center of each star is chosen such that it satisfies the asymptotic flatness requirement. We find that both the mass and the radius of a compact star are larger with respect to the general relativistic counterpart. Furthermore, we remark that the substantial changes due to anisotropy occur mainly in the high-central-density region.
