论文标题
分析近似解决方案$ r^{2} $重力
Analytically Approximation Solution to $R^{2}$ Gravity
论文作者
论文摘要
在本文中，我们在$ f（r）$重力的框架中获得了分析近似黑洞解决方案，并且没有宇宙常数。在该领域，我们将理论的运动方程式应用于具有一个未知功能的球形对称时空，并得出了黑洞溶液，而对RICCI标量没有任何约束。为此，首先，我们获得了近地平线和渐近溶液，然后使用两者通过使用持续分数膨胀来获得完整的溶液。最后，我们通过使用热力学和准正常模式来研究溶液的稳定性。
In this paper, we obtain analytical approximate black hole solutions in the framework of $f(R)$ gravity and the absence of a cosmological constant. In this area, we apply the equations of motion of the theory to a spherically symmetric spacetime with one unknown function and derive black hole solutions without any constraints on the Ricci scalar. To do so, first, we obtain the near horizon and asymptotic solutions and then use both of them to obtain a complete solution by utilizing a continued-fraction expansion. Finally, we investigate the stability of the solutions by employing the thermodynamics and quasi-normal modes.
