Constructing allowed complex metrics from black holes

2025/11/28 by Oscar Loaiza-Brito, Loaiza-Brito, Oscar, J.L. López-Picón +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Astrophysical Phenomena and Observations #Cosmology and Gravitation Theories

paper · pdf · doi:10.48550/arxiv.2511.23338

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.

Citations

• Cosmology inside a black hole: adding matter on the brane
• An effective description of the instability of coherent states of gravitons in string theory
• The Kontsevich-Segal Criterion in the No-Boundary State Constrains Anisotropy
• KSW criterion in large field models
• A Note On Complex Spacetime Metrics
• Wick rotation and the positivity of energy in quantum field theory
• Cosmological Solutions, a New Wick-Rotation, and the First Law of Thermodynamics
• Forks in the road, on the way to quantum gravity

Related

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• Complex Riemannian Spacetime, Removal of Black Hole Singularities And Black Hole Paradoxes
• Real Time Correlations and Complexified Horizons
• Effective Metric Description of 2+1 Dimensional Quantum Black Holes
• Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion