AI 中文总结
研究高斯-博内特扩展斯塔罗宾斯基-麦克斯韦引力中带电黑洞标量化，发现标量化解有新多分支结构，扩展理论后多分支仍存且有新分支，分析了分支转变，还验证带电毛状解遵守第一定律。
AI 中文摘要
我们重新审视了由高斯-博内特不变量补充的斯塔罗宾斯基引力中黑洞的自发标量化。发现了一个新特征：标量化解分为两个光滑分支，它们在一个共同的最小视界半径处相连，这是以前未报道过的静态、球对称标量化的多分支结构。用麦克斯韦场扩展该理论，我们发现这种多分支结构仍然存在，同时在某些参数范围内出现了一个新 的额外不相连分支。我们深入分析了从单个光滑分支到两个不相连分支的转变。最后，我们用标准麦克斯韦热力学关系验证了所有带电毛状解都精确遵守第一定律。
英文摘要
We re-examine spontaneous scalarization of black holes within Starobinsky gravity supplemented by the Gauss-Bonnet invariant. A novel feature is uncovered: scalarized solutions split into two smooth branches that connect at a common minimal horizon radius, a multi-branch structure previously unreported for static, spherically symmetric scalarization. Extending the theory with a Maxwell field, we find that this multi-branch structure persists, while a new additional disconnected branch emerges within certain parameter ranges. We thoroughly analyse the transition from a single smooth branch to two disconnected branches. Lastly, we verify, employing the standard Maxwell thermodynamic relations, that all charged hairy solutions obey the first law exactly.
Comments22 pages, 10 figures
