Emergence of critical phenomena from the black hole interior

2025/11/21 by Shao, Caiying, Guo, Junqi, Tian, Yu +1 · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2511.17193

Abstract

The emergence of the r=0 singularity inside a spherically symmetric charged black hole, is studied numerically within the Einstein-Maxwell-real scalar model. When the scalar field reaches a critical strength, the r=0 singularity emerges inside of the black hole at the tip of the causal diamond. By varying the parameter p of the initial profile for the scalar field towards the critical value p_*, we observe the areal radius at the tip follows a power law scaling, r_S ∝ | p - p_*|^γ, with a universal critical exponent γ≈ 0.5. This remarkable discovery, analogous to Choptuik's critical phenomena for the black hole formation, provides the first evidence of the universality and scaling for the emergence of the r=0 singularity inside black holes, offering new insights into the nonlinear dynamics of strong gravitational field.

Citations

• The singularities of gravitational collapse and cosmology

Cited by

• Critical phenomenon inside asymptotically flat black holes with spontaneous scalarization
• Internal structure of Hayward black holes

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