Bertotti-Robinson-Bonnor-Melvin电磁场中的Reissner-Nordstrom
Reissner-Nordstrom in the Bertotti-Robinson-Bonnor-Melvin electromagnetic field
- Laboratorio Italiano di Fisica Teorica（意大利理论物理实验室）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究构造嵌入Bertotti-Robinson磁场的磁Reissner-Nordstrom黑洞，经Ernst方程的Harrison变换得到目标度规，证明相关Schwarzschild-Bertotti-Robinson形式的局域等价性。
AI中文摘要：
本文给出嵌入Bertotti-Robinson磁场中的磁Reissner-Nordstrom黑洞，将其作为种子，通过Ernst方程的Harrison变换生成Bertotti-Robinson-Bonnor-Melvin磁场中的Reissner-Nordstrom度规。讨论了推广真空毛状I型Schwarzschild解的特殊情形，通过展示显式微分同胚，证明了各类Schwarzschild-Bertotti-Robinson形式间的局域等价性。
英文摘要：
The magnetic Reissner-Nordstrom black hole embedded into the Bertotti-Robinson magnetic field is presented. Then it is used, as a seed, to generate, through the Harrison transformation of the Ersnt's equations, the Reissner-Nordstrom metric in the Bertotti-Robinson-Bonnor-Melvin magnetic field. Special cases generalising, the vacuum hairy type I Schwarzschild solution is discussed. The local equivalence between various forms of the Schwarzschild-Bertotti-Robinson is shown by exhibiting the explicit diffeomorphism.
