An ideal conformally covariant characterization of the Kerr conformal structure
A. Garc\'ia-Parrado
TL;DR
This paper introduces a conformally covariant framework to characterize four-dimensional Lorentzian spacetimes that are conformally related to the Kerr vacuum solution, advancing the understanding of their geometric structure.
Contribution
It provides an ideal, conformally covariant characterization of Kerr-related spacetimes, enhancing geometric and conformal analysis methods.
Findings
Provides a new conformally covariant characterization of Kerr spacetimes
Establishes a framework for analyzing conformal relations in Lorentzian geometry
Advances the geometric understanding of Kerr solutions in general relativity
Abstract
We present an \emph{ideal, conformally covariant} characterization of the family of four dimensional Lorentzian spacetimes that are conformally related to the Kerr vacuum solution.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology