English

Constructing allowed complex metrics from black holes

General Relativity and Quantum Cosmology 2025-12-01 v1

Abstract

We use diffeomorphic mappings to connect black hole metrics with complex solutions allowed by the Kontsevich-Segal criterion. By swapping radial and time-like coordinates and applying complex mappings, we derive dynamic metrics suitable for a Quantum Field Theory. This is shown for static and rotating black holes, mapping their interiors into the Kantowski-Sachs and a specific Gowdy-type cosmological model. We offer interpretations of the period during which the Kontsevich-Segal criterion holds.

Keywords

Cite

@article{arxiv.2511.23338,
  title  = {Constructing allowed complex metrics from black holes},
  author = {Oscar Loaiza-Brito and J. L. López-Picón and Octavio Obregón},
  journal= {arXiv preprint arXiv:2511.23338},
  year   = {2025}
}

Comments

16 pages, 2 figures

R2 v1 2026-07-01T07:59:41.898Z