标题： 无迹黑洞和Hawking-Page相变在高斯-博内引力和标量引力中 显示英文标题

标题： Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity

摘要： 众所周知，在球形AdS黑洞和热AdS空间之间存在霍金-佩吉相变。 在庞加莱坐标下，具有平坦曲率的AdS黑洞（其视界为平坦曲率空间）与热AdS空间之间不会发生相变。 然而，如果平坦曲率黑洞的视界坐标中至少有一个是紧致的，则霍金-佩吉相变会在平坦曲率AdS黑洞和AdS孤子之间发生。 我们展示了在高斯-博内引力和包含来自II型超引力中Dp膜球面约化的规范超引力的类Liouville势的标量引力中，平坦曲率黑洞与变形AdS孤子之间的类似相变。 与爱因斯坦引力不同，我们发现高温相态可能由黑洞或变形AdS孤子主导，这取决于参数。 显示英文摘要

摘要： It is well-known that there exists a Hawking-Page phase transition between a spherical AdS black hole and a thermal AdS space. The phase transition does not happen between a Ricci flat AdS black hole whose horizon is a Ricci flat space and a thermal AdS space in the Poincare coordinates. However, the Hawking-Page phase transition occurs between a Ricci flat AdS black hole and an AdS soliton if at least one of horizon coordinates for the Ricci flat black hole is compact. We show a similar phase transition betwen the Ricci flat black holes and deformed AdS solitons in the Gauss-Bonnet gravity and the dilaton gravity with a Liouville-type potential including the gauged supergravity coming from the spherical reduction of Dp-branes in type II supergravity. In contrast to Einstein gravity, we find that the high temperature phase can be dominated either by black holes or deformed AdS solitons depending on parameters.