标量-挠率平行引力中史瓦西黑洞的非线性标量化
Nonlinear Scalarization of Schwarzschild Black Hole in Scalar-Torsion Teleparallel Gravity
AI总结：
本文研究标量-挠率平行引力中通过非线性标量化形成的带标量毛黑洞，证明其为无相变的亚稳态解，且在自由能和熵上均优于史瓦西黑洞。
AI中文摘要：
我们考虑在平行引力中将一个标量场与挠率耦合，其耦合函数不允许出现快子不稳定性，并导致形成带有标量毛的新型黑洞。这些标量化黑洞解是渐近平坦的，我们在其热力学性质下对它们进行了研究，并证明它们是亚稳态解，不存在一阶和二阶相变。此外，我们证明了存在由标量场节点数分类的不同解分支。对于所分析的分支，标量化解的自由能低于史瓦西黑洞；因此，它们在热力学上总是更受青睐。我们还表明，与史瓦西解相比，标量化黑洞在熵上更受偏爱。
英文摘要：
We consider a scalar field coupled to the torsion in Teleparallel Gravity with a coupling function that does not allow for a tachyonic instability to occur, and it leads to the formation of new black holes with scalar hair. The scalarized black hole solutions are asymptotically flat, and they are studied under their thermodynamics, and we show that they are meta-stable solutions without phase transitions of first and second order. Also, we demonstrate the existence of distinct branches of solutions classified by the number of nodes of the scalar field. For the branches analysed, the scalarized solutions have lower free energy than the Schwarzschild black hole; therefore, they are always thermodinamically preferred. Also, we show that the scalarized black holes are entropically favoured compared to the Schwarzschild solution.
