Charged Black Holes and the Density Cap: Where the Inner Horizon Meets the Capped Core

The capped radius is 7.876e-10 metres. At half the extremal charge the inner horizon already sits at 1.978e+03 metres, far outside the cap, and the two structures meet only at a charge fraction of 3.264e-07, extremely close to uncharged. The extremal charge itself is 1.714e+21 coulombs. In other words, for any appreciable charge the inner horizon encloses the capped core with room to spare, and the cap modifies only the deep interior inside the Cauchy horizon. Astrophysical charge is expected to be tiny, so the near-zero meeting fraction might look like a curiosity. Computed from stated assumptions, not measured.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24125673
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

Charged Black Holes and the Density Cap: Where the Inner Horizon Meets the Capped Core

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
article

Charged Black Holes and the Density Cap: Where the Inner Horizon Meets the Capped Core

William Alexander Aldred
article en

Abstract

The capped radius is 7.876e-10 metres. At half the extremal charge the inner horizon already sits at 1.978e+03 metres, far outside the cap, and the two structures meet only at a charge fraction of 3.264e-07, extremely close to uncharged. The extremal charge itself is 1.714e+21 coulombs. In other words, for any appreciable charge the inner horizon encloses the capped core with room to spare, and the cap modifies only the deep interior inside the Cauchy horizon. Astrophysical charge is expected to be tiny, so the near-zero meeting fraction might look like a curiosity. Computed from stated assumptions, not measured.

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
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