论文标题
尝试在$ f(r)$重力中添加手推车熵
An attempt to add Barrow entropy in $f(R)$ gravity
论文作者
论文摘要
在这项工作中,提出了一种对Friedmann方程式进行两种不同校正的方法。第一个是巴罗熵,它在黑洞地平线上施加了一个分形结构。第二个是众所周知的$ f(r)$重力,它来自爱因斯坦 - 希尔伯特(Einstein-Hilbert)动作的概括。使用重力 - 热力学猜想的思想,将这两个模型组合在一起。然后获得修改的弗里德曼方程。选择特定的$ f(r)$模型,研究了一个应用程序。计算物质和暗能量的状态参数和密度参数。通过这些结果,讨论了宇宙的动态演变。
In this work, a way to consider together two originally different corrections to the Friedmann equations is presented. The first is the Barrow entropy, which imposes a fractal structure on the black hole horizon area. While the second is the well-known $f(R)$ gravity, which comes from a generalization of the Einstein-Hilbert action. Using the ideas of gravity-thermodynamics conjecture, these two models are combined. Then the modified Friedmann equation is obtained. Choosing a particular $f(R)$ model, an application is investigated. The state parameter and the density parameters for matter and dark energy are calculated. With these results, the dynamic evolution of the universe is discussed.