爱因斯坦-麦克斯韦-带电荷标量系统在AdS中毛黑洞的凸性恢复
Convexity restoration from hairy black hole in Einstein-Maxwell-charged scalar system in AdS
AI总结：
该研究在AdS时空中构建带电孤子解，发现毛黑洞解可恢复能量凸性，使相变连续化，并受AdS弱引力猜想影响。
摘要：
在维度高于三的任意维爱因斯坦-麦克斯韦-带电荷标量系统中，且具有负宇宙学常数时，存在一个无视界的带电孤子解，我们以小电荷的微扰级数形式，对任意标量质量显式构造了该解。我们发现孤子的稳定性由AdS弱引力猜想是否成立决定。稳定孤子的存在可能危及（自由）能量作为电荷函数的凸性，因为孤子与极端Reissner-Nordstrom黑洞之间的相变将是不连续的。然而，我们论证了毛黑洞解的存在规避了凸性的违反。毛黑洞的热力学性质表明，无论AdS弱引力猜想是否成立，相变都变为连续的。当猜想成立时，相变发生在孤子与毛黑洞之间；当猜想被违反时，相变发生在极端Reissner-Nordstrom黑洞与毛黑洞之间。
英文摘要：
In the Einstein-Maxwell-charged scalar system with a negative cosmological constant in arbitrary dimensions higher than three, there exists a horizonless charged soliton solution, which we construct explicitly for an arbitrary mass of the scalar in perturbative series in small charge. We find that the stability of the soliton is determined by the validity of the AdS weak gravity conjecture. The existence of a stable soliton might endanger the convexity of the (free) energy as a function of the charge because the phase transition between the soliton and the extremal Reissner-Nordstrom black hole would be discontinuous. We, however, argue that the existence of the hairy black hole solution circumvents the violation of convexity. The thermodynamic properties of the hairy black hole show that the phase transition becomes continuous irrespective of whether the AdS weak gravity conjecture holds. When it holds, the phase transition occurs between the soliton and the hairy black hole, and when it is violated, the phase transition occurs between the extremal Reissner-Nordstrom black hole and the hairy black hole.
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