AI 中文总结
该研究推导了高维度规引力理论的真空解，扩展拟拓扑引力结果并逆向构建对应理论，通过典型例子展示方法的通用性与局限性，还耦合类Vaidya物质源生成时变解。
AI 中文摘要
本文推导了四维及更高维度度规引力理论真空解中的静态球对称虫洞与黑洞反弹时空。为此，我将拟拓扑引力的已有结果扩展至度规依赖于某一变量的两个任意函数（而非通常的单一函数）的情形。随后，我解释了如何针对（几乎）任意球对称度规，逆向构建以该度规为解的良定义高维理论。我将这些结果应用于三个典型例子，包括Simpson–Visser黑洞反弹，以展示该方法的通用性及其局限性。此外，我考虑了与类Vaidya物质源的耦合，以生成时变解并探究这些理论可描述的动力学演化类型。
英文摘要
This article derives static and spherically symmetric wormhole and black bounce spacetimes as vacuum solutions of metric gravitational theories in four and higher dimensions. To this end, I extend previous results on quasi-topological gravities to encompass cases in which the metric depends on two arbitrary functions of one variable --- instead of the usual single function. I then explain how, given (almost) any spherically symmetric metric, one can reverse engineer a well-defined higher-dimensional theory having such a metric as solution. I apply these results to three paradigmatic examples, including the Simpson--Visser black bounce, to showcase the versatility of this method, as well as its limitations. Moreover, I consider the coupling to a Vaidya-like matter source, so as to generate time-varying solutions and investigate what kind of dynamical evolution these theories can account for.
Comments21 pages, no figures. Comments are welcome!
