双面引力镜:曲率奇点的封闭
Two-Sided Gravitational Mirror: Sealing off Curvature Singularities
摘要:
引力镜是一个非奇异的有限红移曲面,它反射所有入射的零测地线。白镜(向外反弹)类似于特胡夫特的砖墙,而黑镜(向内反弹)提供了一种封闭曲率奇点的新机制。双面镜的几何特征是一个单一的签名变化,与控制黑洞几何的签名翻转形成对比。为了证明这一现象的分析,我们推导出一个精确的,静态的,径向对称的,双面镜的解决方案,渐近的无质量BTZ黑洞的背景,然后探测的本地结构的一个有质量的镜子。
英文摘要:
A gravitational mirror is a non-singular finite redshift surface which bounces all incident null geodesics. While a white mirror (outward bouncing) resembles 't Hooft's brick wall, a black mirror (inward bouncing) offers a novel mechanism for sealing off curvature singularities. The geometry underlying a two-sided mirror is characterized by a single signature change, to be contrasted with the signature flip which governs the black hole geometry. To demonstrate the phenomenon analytically, we derive an exact, static, radially symmetric, two-sided mirror solution, which asymptotes the massless BTZ black hole background, and then probe the local structure of a massive mirror.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。