AI 中文总结
本研究针对Kerr-Newman-BR时空及其子情形的整体结构，利用倒数坐标证明该时空族可穿过r→∞曲面连续延拓，指出延拓后的共形结构受时空类型和极向影响，并探讨了该延拓的普适性。
AI 中文摘要
我们对Kerr-Newman-BR时空及其Schwarzschild-BR时空等各类子情形的整体结构展开研究。本工作拓展了我们此前研究的结论——此前我们发现$r\to\infty$并非恰当的共形无穷远。通过使用倒数坐标$y=1/r$，我们证明整个Kerr-Newman-BR时空族都可以穿过$r\to\infty$曲面连续延拓。不过，穿过$r\to\infty$后的共形结构强烈依赖于所研究的时空类型（是否存在旋转），以及所选取的固定极向（即我们是考虑一般极角$θ$，还是聚焦于赤道面$θ=π/2$附近的行为，抑或是极点$θ=0,π$附近的行为）。最后，我们讨论了这种连续延拓的普适性。
英文摘要
We conduct an investigation of the global structure of Kerr-Newman-BR spacetime and its various subcases such as Schwarzschild-BR spacetime. In this work, we extend the result of our previous studies, where we found that $r\to \infty$ is not the proper conformal infinity. By using the reciprocal coordinate $y=1/r$, we show that the whole family of Kerr-Newman-BR spacetimes can be continuously extended through the surface $r\to \infty$. However, the conformal structure after passing $r\to\infty$ strongly depends on the type of spacetime one is considering (either rotation is present, or not) and on the polar direction one chooses to be fixed (namely, whether we consider generic polar angle $θ$, or we focus on the behaviour near the equatorial plane $θ=π/2$, or near the poles $θ=0,π$). Finally, we discuss the universality of such a continuous extension.
Comments11 pages, 9 figures
