论文标题
积分$ f（r）$重力和马鞍点状况作为$ h_0 $ - 张力的补救措施
Integral $F(R)$ Gravity and Saddle Point Condition as a Remedy for the $H_0$-tension
论文作者
论文摘要
在这项工作中，我们将提供一个$ f（r）$重力理论框架来解决$ h_0 $ - 张力。具体而言，通过用标量张量理论利用$ f（r）$重力信函，我们将提供一个条件，在满足时，可以减轻$ h_0 $ - 张力。弥补$ H_0 $的张力的条件限制了相应的$ f（r）$重力，我们简要介绍了约旦和爱因斯坦框架中约束$ f（r）$重力理论的理论特征。可能纠正$ H_0 $张力的条件基于重组附近的红移的亚稳态de Sitter点的存在。这种亚稳定的保姆真空限制了约旦框架中$ f（r）$重力的功能形式。我们还表明，通过适当选择$ f（r）$重力，以及针对$ h_0 $ - 张力问题提供的理论解决方案，一个额外的de Sitter Vacua也可以提供统一的通货膨胀时代的统一描述。我们通过引入一类新的积分$ f（r）$重力功能来提出一种新方法对$ f（r）$重力，这可能比按基本$ f（r）$ reverity函数表示的通常类别更宽。最后，简要讨论了爱因斯坦框架通货膨胀动态形式主义。
In this work, we shall provide an $F(R)$ gravity theoretical framework for solving the $H_0$-tension. Specifically, by exploiting the $F(R)$ gravity correspondence with a scalar-tensor theory, we shall provide a condition in which when it is satisfied, the $H_0$-tension is alleviated. The condition that remedies the $H_0$-tension restricts the corresponding $F(R)$ gravity, and we present in brief the theoretical features of the constrained $F(R)$ gravity theory in both the Jordan and Einstein frames. The condition that may remedy the $H_0$-tension is based on the existence of a metastable de Sitter point that occurs for redshifts near the recombination. This metastable de Sitter vacuum restricts the functional form of the $F(R)$ gravity in the Jordan frame. We also show that by appropriately choosing the $F(R)$ gravity, along with the theoretical solution offered for the $H_0$-tension problem, one may also provide a unified description of the inflationary era with the late-time accelerating era, in terms of two extra de Sitter vacua. We propose a new approach to $F(R)$ gravity by introducing a new class of integral $F(R)$ gravity functions, which may be wider than the usual class expressed in terms of elementary $F(R)$ gravity functions. Finally, the Einstein frame inflationary dynamics formalism is briefly discussed.
