关于正则化McVittie黑洞弹跳及一族可穿越虫洞
On The Regularized McVittie Black Bounce and a Family of Traversable Wormholes
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- Vellore Institute of Technology（维罗尔理工大学）
- Inter-University Centre for Astronomy and Astrophysics（大学间天文学与天体物理中心）
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中文总结 AI 辅助
该研究正则化McVittie度规的两个奇点，提出插值于宇宙学黑洞、黑洞弹跳和可穿越虫洞的几何，并分析其视界、测地线及有效流体支持。
中文摘要 AI 辅助
McVittie度规描述了一个嵌入膨胀宇宙中的自引力致密天体。它继承了两个奇点：在$r \to 0$处的曲率奇点和在$a(t) \to 0$处的宇宙学奇点。受黑洞弹跳几何构造的启发，我们对这两个奇点进行了正则化，并提出了一个正则化的McVittie度规。中心奇点通过将$r \to \sqrt{r^{2}+b^{2}}$替换来正则化，从而产生一个在宇宙学黑洞、黑洞弹跳和可穿越虫洞之间插值的几何结构。类似地，宇宙学奇点通过引入非零尺度因子$a \rightarrow \sqrt{a^{2} + a_b^{2}}$来正则化。由此产生的时空由具有有限各向异性应力的有效非完美流体所支持。我们研究了视界的形成，分析了圆形测地线结构，并论证了该几何也可以解释为嵌入在正则宇宙学背景中的共形演化的Morris-Thorne虫洞。
英文摘要
The McVittie metric describes a self-gravitating compact object embedded in an expanding universe. It inherits two singularities: a curvature singularity at $r \to 0$ and a cosmological singularity at $a(t) \to 0$. Motivated by the construction of black-bounce geometries, we regularize both of these singularities and propose a regularized McVittie metric. The central singularity is regularized by replacing $r \to \sqrt{r^{2}+b^{2}}$, leading to a geometry that interpolates between a cosmological black hole, a black bounce, and a traversable wormhole. Similarly, the cosmological singularity is regularized by introducing a non-vanishing scale factor $a \rightarrow \sqrt{a^{2} + a_b^{2}}$. The resulting spacetime is supported by an effective imperfect fluid with finite anisotropic stress. We investigate the formation of the apparent horizon, analyze the circular geodesic structure, and argue that the geometry can also be interpreted as a conformally evolving Morris-Thorne wormhole embedded in a regular cosmological background.
