论文标题
奇特的黑洞热力学在三阶Lovelock重力
Exotic Black Hole Thermodynamics in Third-Order Lovelock Gravity
论文作者
论文摘要
Birkhoff定理对Lovelock重力的较高维度的概括允许具有非恒定曲率的地平线几何形状的黑洞溶液。我们研究了这些“外来”黑洞溶液的热力学方面，并特别强调它们的相变。我们考虑一个扩展的相空间，宇宙常数充当热力学压力，并检查未充电和$ u（1）$带电的溶液。在$ d = 7 $中，黑洞解决方案仅限于具有恒定横向的地平线歧管。未充电的$ d = 7 $黑洞具有新颖的三点现象，类似于最近在高斯 - 骨网中发现的异国情调$ d = 6 $黑洞的三重点现象，而他们的带电同行则通常经历小型大型黑洞相变。在$ d = 8 $中，我们发现充电和未充电的黑洞都表现出三点行为和小型黑洞过渡。我们还表明，由于裸露的奇异性的出现，可以排除各种“异国”地平线几何形状。
The generalization of Birkhoff's theorem to higher dimensions in Lovelock gravity allows for black hole solutions with horizon geometries of non-constant curvature. We investigate thermodynamic aspects of these `exotic' black hole solutions, with a particular emphasis on their phase transitions. We consider an extended phase space where the cosmological constant acts as a thermodynamic pressure, and examine both uncharged and $U(1)$ charged solutions. In $d=7$, black hole solutions are restricted to having constant-curvature horizon base manifolds. Uncharged $d=7$ black holes possess novel triple point phenomena analogous to those recently uncovered in exotic $d=6$ black holes in Gauss-Bonnet gravity, while their charged counterparts generically undergo small-large black hole phase transitions. In $d=8$, we find that both charged and uncharged black holes exhibit triple point behaviour and small-large black hole transitions. We also show that a wide range of `exotic' horizon geometries can be ruled out due to the appearance of naked singularities.
