Global curvature control in a regular black hole with Minkowski core and inner-extremal horizon
- 1China West Normal University
- 2Chinese Academy of Sciences
- 3University of Chinese Academy of Sciences
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 r + = 2 M , the maximal Kretschmann scalar becomes nearly independent of the ADM mass and is mainly controlled by the inner-horizon radius r- 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 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 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
@article{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},
journal = {The European Physical Journal C},
year = {2026},
month = oct,
doi = {10.1140/epjc/s10052-026-16504-3},
url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16504-3},
note = {CC BY 4.0},
}
RIS
TY - JOUR
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 - 2026/10/22
JO - The European Physical Journal C
DO - 10.1140/epjc/s10052-026-16504-3
UR - https://link.springer.com/article/10.1140/epjc/s10052-026-16504-3
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 r + = 2 M , the maximal Kretschmann scalar becomes nearly independent of the ADM mass and is mainly controlled by the inner-horizon radius r_- 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 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 r - / 2 . The same inner-horizon scale therefore controls the global curvature bound and the finite mass scale reached by the shell dynamics.
SN - 1434-6044
SN - 1434-6052
ER -