The regular black hole solution arising as a spherically symmetric vacuum solution of Born-Infeld gravity possesses an asymptotic interior structure which is very well described by a four dimensional generalization of the non-rotating BTZ metric. According to this picture no singularity exists, and instead, infalling observers experience a constant curvature manifold as they travel towards future null infinity. This is characterized by the BTZ event horizon. The exterior structure of the black hole is also studied, and it is shown that it corresponds to the Schwarzschild solution provided the black hole mass is not too small. In this way, the regular black hole state can be seen as a spacetime which connects two constant curvature asymptotic spaces, namely, the flat Minkowski spacetime in the outside region, and the locally AdS constant negative curvature one characterizing the BTZ-like asymptotic interior.

中文翻译：

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常规 Born-Infeld 黑洞中的 BTZ 宝石

作为 Born-Infeld 引力的球对称真空解的规则黑洞解具有渐近内部结构，该结构由非旋转 BTZ 度量的四维推广很好地描述。根据这张图片，不存在奇点，相反，落入的观察者在向未来零无穷大行进时会经历一个恒定曲率流形。这以 BTZ 事件视界为特征。还研究了黑洞的外部结构，结果表明，如果黑洞质量不太小，它对应于 Schwarzschild 解。这样，规则的黑洞状态可以看成是连接两个等曲率渐近空间的时空，即外侧区域的平坦闵可夫斯基时空，