爱因斯坦-幻影标量-高斯-博内理论中的非线性标量化与热力学
Nonlinear scalarization and thermodynamics in Einstein-Phantom scalar-Gauss-Bonnet theory
- Jiangxi Normal University（江西师范大学）
- Sogang University（西江大学）
- Hunan Institute of Technology（湖南科技学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究幻影标量-高斯-博内理论中史瓦西黑洞的非线性标量化，发现下分支在熵和自由能上优于主分支但热容为负，且无非线性稳定标量相。
AI中文摘要：
我们研究了幻影标量与高斯-博内不变量耦合时史瓦西黑洞的非线性标量化。引入了三个满足ζ''(0)=0的多项式耦合来研究其非线性耦合依赖性。由于幻影因子ε在探针标量方程中消失，其非线性演化与正则标量理论相同。我们构造了无节点探针解以及完全反作用的两个分支：下分支和主分支。在等质量和等温度下，下分支的沃尔德熵高于主分支，亥姆霍兹自由能低于主分支，但它们的热容为负。这意味着下分支比主分支更受青睐。最后，我们表明对于幻影动力学理论，不存在非线性稳定的标量相。
英文摘要：
We study nonlinear scalarization of Schwarzschild black-holes for a phantom scalar coupled to the Gauss--Bonnet invariant. Three polynomial couplings satisfying $ζ''(0)=0$ are introduced to investigate its nonlinear coupling dependence. Since the phantom factor $ε$ disappears in the probe scalar equation, its nonlinear evolution is the same as in the canonical scalar theory. We construct nodeless probe solutions and fully backreacted two branches of lower and primary. At equal mass and equal temperature, respectively, the lower branches have higher Wald entropy and lower Helmholtz free energy than primary branch, but their heat capacities are negative. This implies that lower branch favors than primary branch. Finally, we show that there is no nonlinerly stable scalar phase for a phantom kinetic theory.
