Constructing allowed complex metrics from black holes

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Authors: Oscar Loaiza‐Brito, J.L. López-Picón, Octavio Obregón
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Abstract

Abstract We use diffeomorphic mappings to connect black hole metrics with complex solutions allowed by the Kontsevich–Segal (KS) criterion. By swapping radial and time-like coordinates and applying complex mappings, we derive dynamic metrics sufficiently well-defined 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 KS criterion holds.

Fields of Study & Subjects

Black Holes and Theoretical Physics Astrophysical Phenomena and Observations Cosmology and Gravitation Theories

Publication details

Journal / source
Classical and Quantum Gravity
Volume
43
Issue
17
Pages
175008–175008
Publication date
17 August 2026