标题： 三维加速AdS黑洞在$F(R)$引力中 显示英文标题

标题： Three-dimensional accelerating AdS black holes in $F(R)$ gravity

摘要： 考虑一个三维的$C-$度规，我们得到在与物质场耦合以及不耦合的$F(R)$引力理论中的精确加速黑洞。 首先，我们在$F(R)$引力中提取不带电的加速 AdS 黑洞解。 然后，我们研究各种参数对度规函数、根和这些黑洞温度的影响。 对于半径小于$\frac{1}{\alpha }$的情况，温度始终为正，而对于半径大于$\frac{1}{\alpha }$的情况，温度为负。 我们通过将非线性电动力学作为物质场耦合到$F(R)$引力中，扩展了我们的研究，以在该理论中获得带电黑洞。 接下来，我们评估不同参数（如电荷、加速参数、角动量、$F(R)$引力和标量曲率）对所得解、根和三维带电加速 AdS 黑洞温度的影响。 结果表明，存在一个根，它依赖于各种参数。 这些黑洞的温度在此根之后为正。 显示英文摘要

摘要： Considering a three-dimensional $C-$metric, we obtain the exact accelerating black holes in the $F(R)$ theory of gravity coupled with and without a matter field. First, we extract uncharged accelerating AdS black hole solutions in $F(R)$ gravity. Then, we study the effects of various parameters on metric function, roots, and the temperature of these black holes. The temperature is always positive for the radii less than $\frac{1}{\alpha }$, and it is negative for the radii more than $\frac{1}{\alpha }$. We extend our study by coupling nonlinear electrodynamics as a matter filed to $F(R)$ gravity to obtain charged black holes in this theory. Next, we evaluate the effects of different parameters such as the electrical charge, accelerating parameter, angular, $F(R)$ gravity, and scalar curvature on the obtained solutions, roots, and temperature of three-dimensional charged accelerating AdS black holes. The results indicate that there is a root in which it depends on various parameters. The temperature of these black holes is positive after this root.