English

Charged black-bounce spacetimes

General Relativity and Quantum Cosmology 2021-10-05 v3

Abstract

Given the recent development of rotating black-bounce-Kerr spacetimes, for both theoretical and observational purposes it becomes interesting to see whether it might be possible to construct black-bounce variants of the entire Kerr-Newman family. Specifically, herein we shall consider black-bounce-Reissner-Nordstr\"om and black-bounce-Kerr-Newman spacetimes as particularly simple and clean everywhere-regular black hole "mimickers" that deviate from the Kerr-Newman family in a precisely controlled and minimal manner, and smoothly interpolate between regular black holes and traversable wormholes. While observationally the electric charges on astrophysical black holes are likely to be extremely low, Q/m1|Q|/m \ll 1, introducing any non-zero electric charge has a significant theoretical impact. In particular, we verify the existence of a Killing tensor (and associated Carter-like constant) but without the full Killing tower of principal tensor and Killing-Yano tensor, also we discuss how, assuming general relativity, the black-bounce-Kerr-Newman solution requires an interesting, non-trivial matter/energy content.

Keywords

Cite

@article{arxiv.2104.11376,
  title  = {Charged black-bounce spacetimes},
  author = {Edgardo Franzin and Stefano Liberati and Jacopo Mazza and Alex Simpson and Matt Visser},
  journal= {arXiv preprint arXiv:2104.11376},
  year   = {2021}
}

Comments

V1: 27 pages, 0 figures, 61 references. V2: Still 27 pages, 0 figures, no physics changes, 6 references added (now 67 references). V3: Published and final version, now 29 pages, 2 figures added, minor discussion added on page 17, 2 references added (now 69 references)

R2 v1 2026-06-24T01:27:00.784Z