The upper bound of event horizon formation time in generalized Oppenheimer–Snyder collapse

We prove that, in the framework of the Oppenheimer-Snyder collapse, the Schwarzschild exterior maximizes the event horizon formation time Δ T eh = 19 6 m among all asymptotically flat, static, spherically-symmetric black holes with the same ADM mass m that satisfy the weak energy condition. This bound extends the typical black hole inequalities–such as the Penrose inequality, which constrains spatial geometry–to temporal setting.

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Publication Details

Journal
Physics Letters B
Published
2026-02-03
DOI
https://doi.org/10.1016/j.physletb.2026.140245
Primary Topic
Black Holes and Theoretical Physics
Type
article
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article

The upper bound of event horizon formation time in generalized Oppenheimer–Snyder collapse

H. J. Lu, H. Khodabakhshi, Zhi-Chao Li
Physics Letters B
Black Holes and Theoretical Physics
article

The upper bound of event horizon formation time in generalized Oppenheimer–Snyder collapse

H. J. Lu, H. Khodabakhshi, Zhi-Chao Li
article en

Abstract

We prove that, in the framework of the Oppenheimer-Snyder collapse, the Schwarzschild exterior maximizes the event horizon formation time Δ T eh = 19 6 m among all asymptotically flat, static, spherically-symmetric black holes with the same ADM mass m that satisfy the weak energy condition. This bound extends the typical black hole inequalities–such as the Penrose inequality, which constrains spatial geometry–to temporal setting.

Physics Letters BVol. 874
Tianjin University (CN)
Reduced inequalities
Openalex Percentile: Top 65%
Black Holes and Theoretical Physics
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