The most general set of static and spherically symmetric solutions for conformal Killing gravity coupled to Maxwell fields is presented in closed form. These solutions, depending on six parameters, include non-asymptotically flat black holes or naked singularities, non-asymptotically flat traversable wormholes, and (possibly singularity-free) closed universes. We also consider the inverse problem, showing that the most general energy–momentum tensor generating a given static spherically symmetric metric depends on three parameters. Sourceless time-dependent isotropic solutions are also given. These solutions depending on the curvature, the cosmological constant, and a new integration constant α, present a rich variety, including singularity-free eternal cosmologies and universes evolving symmetrically from a big bang to a big crunch within a finite lapse of time.

中文翻译：

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共形致命引力的球对称解：黑洞、虫洞和无源宇宙论


耦合到麦克斯韦场的共形杀伤引力的最通用的一组静态和球对称解以封闭形式呈现。这些解取决于六个参数，包括非渐近平坦黑洞或裸奇点、非渐近平坦可穿越虫洞和（可能无奇点）封闭宇宙。我们还考虑了逆问题，表明生成给定静态球对称度量的最一般的能量动量张量取决于三个参数。还给出了无源时间相关各向同性解。这些解取决于曲率、宇宙常数和新的积分常数α ，呈现出丰富的多样性，包括无奇点的永恒宇宙论和在有限时间内从大爆炸到大挤压对称演化的宇宙。