Global curvature control in a regular black hole with Minkowski core and inner-extremal horizon
Abstract
We construct a static, spherically symmetric regular black hole with a Minkowski core, a non-extremal outer horizon, and a degenerate inner horizon with vanishing surface gravity. The spacetime exhibits two main features. First, in the large-mass regime with r+=2M, the maximal Kretschmann scalar becomes nearly independent of the ADM mass and is mainly controlled by the inner-horizon radius r-, providing a simple sufficient condition for the curvature to remain sub-Planckian everywhere. Second, the effective cubic zero of the metric function replaces the standard exponential near-horizon amplification with power-law behavior. A massless scalar test field shows that the geometric blueshift factor grows as v3/2. Then, we use the double-null shell and Ori models to examine the corresponding effective mass dynamics. the nonlinear shell-crossing contribution decays at late times, while the Ori evolution with a Price-law ingoing flux keeps the internal Misner-Sharp mass bounded. In both descriptions, the late-time mass approaches r-/2. The same inner-horizon scale therefore controls the global curvature bound and the finite mass scale reached by the shell dynamics.
Versions
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BibTeX
@misc{feng2026global,
title = {{Global curvature control in a regular black hole with Minkowski core and inner-extremal horizon}},
author = {Zhong-Wen Feng and Hong-Lin Liu and Yi Ling and Qing-Quan Jiang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.15576},
eprint = {2605.15576},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.15576},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Global curvature control in a regular black hole with Minkowski core and inner-extremal horizon
AU - Zhong-Wen Feng
AU - Hong-Lin Liu
AU - Yi Ling
AU - Qing-Quan Jiang
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2605.15576
UR - https://arxiv.org/abs/2605.15576
AB - We construct a static, spherically symmetric regular black hole with a Minkowski core, a non-extremal outer horizon, and a degenerate inner horizon with vanishing surface gravity. The spacetime exhibits two main features. First, in the large-mass regime with r_+=2M, the maximal Kretschmann scalar becomes nearly independent of the ADM mass and is mainly controlled by the inner-horizon radius r_-, providing a simple sufficient condition for the curvature to remain sub-Planckian everywhere. Second, the effective cubic zero of the metric function replaces the standard exponential near-horizon amplification with power-law behavior. A massless scalar test field shows that the geometric blueshift factor grows as v^3/2. Then, we use the double-null shell and Ori models to examine the corresponding effective mass dynamics. the nonlinear shell-crossing contribution decays at late times, while the Ori evolution with a Price-law ingoing flux keeps the internal Misner-Sharp mass bounded. In both descriptions, the late-time mass approaches r_-/2. The same inner-horizon scale therefore controls the global curvature bound and the finite mass scale reached by the shell dynamics.
ER -