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arXiv · 2512.19377

Critical phenomenon inside asymptotically flat black holes with spontaneous scalarization

Li Li·Ze Sun·Fu-Guo Yang
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Abstract

We study the interior dynamics of spontaneously scalarized black holes in Einstein-Maxwell-Scalar theory with zero cosmological constant, revealing novel critical phenomena. We demonstrate that, for a wide range of scalar-electromagnetic couplings, scalarized black holes possess no smooth inner Cauchy horizon and instead evolve into a spacelike Kasner singularity. The scalar hair triggers a rapid collapse of the Einstein-Rosen bridge at the would-be Cauchy horizon. Near the critical point where scalarized black holes bifurcate from the Reissner-Nordstrom solution, we establish a robust scaling relation between the Kasner parameter and the charge-to-mass ratio of the hairy black hole, opening a new window into the remarkable simplicity underlying black hole interiors.

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Li Li, Ze Sun, Fu-Guo Yang. 2025-12-22. Critical phenomenon inside asymptotically flat black holes with spontaneous scalarization. https://doi.org/10.1103/l4tf-kqyl

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