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PreprintCC BY 4.0arXiv

Pre-geometric Black Holes with Spherical Symmetry

Abstract

Pre-geometric Gravity investigates the non-metric features of spacetime near the Planck scale, from which the gravitational interaction arises as a low-energy effective theory via a mechanism of spontaneous symmetry breaking. With a view of amending the classical singularities found in black hole geometries, in this work we study pre-geometric black hole configurations with spherical symmetry, and present exact solutions for different pre-geometric theories in vacuum via the correspondence principle. These solutions are the pre-geometric analogue of the (anti-)de Sitter-Schwarzschild metric, from which such type of black hole geometry is thus expected to emerge. In one case, the pre-geometric solution also exhibits an (anti-)de Sitter core of Planckian size. The main result is supplemented with an analysis of the pre-geometric version of Birkhoff's theorem.

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BibTeX
@misc{meluccio2026pregeometric,
  title = {{Pre-geometric Black Holes with Spherical Symmetry}},
  author = {Giuseppe Meluccio and Egor Pluzhnikov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.11357},
  eprint = {2610.11357},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.11357},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Pre-geometric Black Holes with Spherical Symmetry
AU  - Giuseppe Meluccio
AU  - Egor Pluzhnikov
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.11357
UR  - https://arxiv.org/abs/2610.11357
AB  - Pre-geometric Gravity investigates the non-metric features of spacetime near the Planck scale, from which the gravitational interaction arises as a low-energy effective theory via a mechanism of spontaneous symmetry breaking. With a view of amending the classical singularities found in black hole geometries, in this work we study pre-geometric black hole configurations with spherical symmetry, and present exact solutions for different pre-geometric theories in vacuum via the correspondence principle. These solutions are the pre-geometric analogue of the (anti-)de Sitter-Schwarzschild metric, from which such type of black hole geometry is thus expected to emerge. In one case, the pre-geometric solution also exhibits an (anti-)de Sitter core of Planckian size. The main result is supplemented with an analysis of the pre-geometric version of Birkhoff's theorem.
ER  -