论文标题
$ f（r）$ field限制统一特殊的白色矮人的重力
Weak-field limit of $f(R)$ gravity to unify peculiar white dwarfs
论文作者
论文摘要
近年来，限制质量白矮人（WDS）的次数和超级智商的想法分别是产生不足和过度发光的IA型超新星的候选者，一直是科学界的关键兴趣。尽管研究人员提出了不同的模型来解释这些奇特的物体，但经过修改的爱因斯坦重力理论，尤其是$ f（r）$重力，$ r $是标量曲率，似乎是解释这些特殊WDS的两种制度的最佳选择之一。已经表明，考虑到具有两个参数的Starobinsky模型的高阶校正，可以始终如一地自我解释子和超chandrasekhar祖细胞WD的结构。还众所周知，由于牛顿对象的尺寸较大，因此可以将其视为牛顿对象。在本文中，我们得出了$ f（r）$重力的弱场极限，事实证明这是对泊松方程的高阶校正。后来，我们使用此方程来获得在各种中心密度上仅包含一个模型参数的子和超级和超chandrasekhar限制质量WD的结构。
In recent years, the idea of sub- and super-Chandrasekhar limiting mass white dwarfs (WDs), which are potential candidates to produce under- and over-luminous type Ia supernovae, respectively, has been a key interest in the scientific community. Although researchers have proposed different models to explain these peculiar objects, modified theories of Einstein's gravity, particularly $f(R)$ gravity with $R$ being the scalar curvature, seems to be one of the finest choices to explain both the regimes of these peculiar WDs. It was already shown that considering higher-order corrections to the Starobinsky model with two parameters, the structure of sub- and super-Chandrasekhar progenitor WDs can be explained self consistently. It is also well-known that WDs can be considered Newtonian objects because of their large size. In this paper, we derive the weak-field limit of $f(R)$ gravity, which turns out to be the higher-order correction to the Poisson equation. Later, we use this equation to obtain the structures of sub- and super-Chandrasekhar limiting mass WDs at various central densities incorporating just one model parameter.
