论文标题
二维LIFSHITZ样广告黑洞$ f（r）$重力
Two-dimensional Lifshitz-like AdS black holes in $F(R)$ gravity
论文作者
论文摘要
提取了二维（$ 2D $）的特殊$ F（R）$重力案例中的LIFSHITZ样黑洞。我们在$ r = 0 $的情况下指出了一个基本的奇异性，并被事件视野覆盖。然后评估保守和热力学数量，例如温度，质量，熵和$ 2D $ lifshitz的热容量在$ f（r）$重力中。我们的分析表明，只要宇宙常数为负（$λ<0 $），$ 2D $ LIFSHITZ样黑洞解决方案就可以是物理解决方案。确实，通过增加广告黑色孔的半径，稳定病例和不稳定病例之间存在相变。换句话说，$ 2D $ LIFSHITZ的$ LIFSHITZ样广告具有大半径是物理的，并且享受热稳定性。获得的$ 2D $ LIFSHITZ样的广告黑色漏洞（R）$重力转向众所周知的$ 2D $ SCHWARZSCHILD ADS-BLACK-BLACK漏洞，当LifShitz类似于LIFSHITZ的参数为零（$ S = 0 $）。同样，通过调整类似LifShitz的参数，可以找到这些黑洞解决方案与$ 2D $旋转黑洞解决方案之间的对应关系。
Two-dimensional ($2D$) Lifshitz-like black holes in special $F(R)$ gravity cases are extracted. We indicate an essential singularity at $r=0$, covered with an event horizon. Then conserved and thermodynamic quantities such as temperature, mass, entropy, and the heat capacity of $2D$ Lifshitz-like black holes in $F(R)$ gravity are evaluated. Our analysis shows that $2D$ Lifshitz-like black hole solutions can be physical solutions, provided that the cosmological constant is negative ($Λ<0$). Indeed, there is a phase transition between stable and unstable cases by increasing the radius of AdS black holes. In other words, the $2D$ Lifshitz-like AdS black holes with large radii are physical and enjoy thermal stability. The obtained $2D$ Lifshitz-like AdS-black holes in $F(R)$ gravity turn to the well-known $2D$ Schwarzschild AdS-black holes when the Lifshitz-like parameter is zero ($s=0$). Also, correspondence between these black hole solutions and the $2D$ rotating black hole solutions is found by adjusting the Lifshitz-like parameter.
