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arXiv · 2510.25430

Central Singularity of Three-Dimensional Kerr-de Sitter Black Holes

Mauro Carlone·Wolfgang Mück
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Abstract

For three-dimensional Kerr-de Sitter space-time, we find the singular energy-momentum and spin tensor sources that generate the non-trivial geometry. The energy-momentum tensor is symmetric, conserved and compatible with a spinning massive point particle whose mass and angular velocity we determine. The calculation is based on the analysis of the holonomy for a closed loop around the singularity of the $SO(1,3)$ Chern-Simons gauge field appropriate for gravity in the presence of a positive cosmological constant. This holonomy is related, via the non-abelian Stokes theorem, to the singular source terms at the center. Our results may be helpful for a better understanding of the algebra of observables of a local observer in the Kerr-de Sitter space-time.

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Mauro Carlone, Wolfgang Mück. 2025-10-29. Central Singularity of Three-Dimensional Kerr-de Sitter Black Holes. https://doi.org/10.1103/dt1y-96pg

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