论文标题
JT重力和相变的变形
Deformations of JT Gravity and Phase Transitions
论文作者
论文摘要
我们在二维的dilaton重力经典理论中重新检查了黑洞解决方案。我们考虑了任意的DILATON电位，因此无穷大的黑洞溶液渐近渐近造成了JT重力的接近$ \ MATHRM {ADS} _2 $溶液，因此黑洞的能量和熵在下面有限。我们表明，如果有一个黑洞溶液在某个温度$ t $下具有负比热的黑洞溶液，那么在相同的温度下，有一个较低的自由能和阳性比热的黑洞溶液。随着温度从0升至无穷大，黑洞的能量和熵单调增加，但不一定是连续的。可以有一阶相变，类似于霍金页过渡。这些理论也可以具有与封闭宇宙相对应的解决方案。
We re-examine the black hole solutions in classical theories of dilaton gravity in two dimensions. We consider an arbitrary dilaton potential such that there are black hole solutions asymptotic at infinity to the nearly $\mathrm{AdS}_2$ solutions of JT gravity, and such that the black hole energy and entropy are bounded below. We show that if there is a black hole solution with negative specific heat at some temperature $T$, then at the same temperature there is a black hole solution with lower free energy and positive specific heat. As the temperature is increased from 0 to infinity, the black hole energy and entropy increase monotonically but not necessarily continuously; there can be first order phase transitions, similar to the Hawking-Page transition. These theories can also have solutions corresponding to closed universes.
