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PreprintCC BY 4.0arXiv

Dyonic black holes supporting nearly-black self-gravitating thin shells

Abstract

It has recently been revealed that dyonic black-hole spacetimes of a quasitopological non-linear electrodynamic field theory may be characterized by discrete radial regions with the property dgtt(r)/dr=0 in which spherically symmetric massive {\it test} shells (Dyson shells with negligible self-gravity) can be supported in static equilibrium states. In the present paper we prove that the dyonic spacetimes of the non-linear electrodynamic field theory may also be characterized by the presence of radial regions with the dimensionless property d[r· gtt(r)]/dr→0+ in which massive {\it self-gravitating} thin shells that are on the verge of becoming black holes can be supported in static equilibrium states. Intriguingly, it is proved that the discrete radii of these self-gravitating nearly-black Dyson shells are universal in the sense that they are independent of the masses of the central supporting dyonic compact objects.

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BibTeX
@misc{hod2026dyonic,
  title = {{Dyonic black holes supporting nearly-black self-gravitating thin shells}},
  author = {Shahar Hod},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.14410},
  eprint = {2605.14410},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.14410},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dyonic black holes supporting nearly-black self-gravitating thin shells
AU  - Shahar Hod
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2605.14410
UR  - https://arxiv.org/abs/2605.14410
AB  - It has recently been revealed that dyonic black-hole spacetimes of a quasitopological non-linear electrodynamic field theory may be characterized by discrete radial regions with the property dg_tt(r)/dr=0 in which spherically symmetric massive {\it test} shells (Dyson shells with negligible self-gravity) can be supported in static equilibrium states. In the present paper we prove that the dyonic spacetimes of the non-linear electrodynamic field theory may also be characterized by the presence of radial regions with the dimensionless property d[r· g_tt(r)]/dr→0^+ in which massive {\it self-gravitating} thin shells that are on the verge of becoming black holes can be supported in static equilibrium states. Intriguingly, it is proved that the discrete radii of these self-gravitating nearly-black Dyson shells are universal in the sense that they are independent of the masses of the central supporting dyonic compact objects.
ER  -