Constructing allowed complex metrics from black holes

TL;DR

This paper develops a method to generate complex metrics from black hole solutions using diffeomorphic mappings, enabling new models for quantum field theories and cosmological interpretations.

Contribution

It introduces a novel approach to construct complex metrics from black holes via coordinate swaps and complex mappings, expanding the toolkit for quantum and cosmological models.

Findings

Mapped black hole interiors to cosmological models

Derived dynamic metrics suitable for quantum field theories

Provided interpretations for the validity period of the Kontsevich-Segal criterion

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.