Non-axisymmetric (2+1) black holes with Dym boundary conditions

2025/11/09 by Pino, Miguel, Reyes, Francisco
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · doi:10.48550/arxiv.2511.06567

openalex publication_date 2025/11/09 · openalex created_date 2025/11/12 · openalex updated_date 2026/07/28

Abstract

We present the spectrum of stationary black hole solutions associated with the first non-trivial member of the Dym family of boundary conditions. The analysis combines the holonomy conditions provided by the Chern-Simons formulation of AdS₃ gravity with the periodic solutions of the stationary Dym equation. The resulting spacetimes are characterized by two positive real parameters, two positive integers, and a relative phase, generically describing stationary, non-axisymmetric black holes.

Citations

• Integrability in Three-Dimensional Gravity: Eigenfunction-Forced KdV Flows
• Integrable black hole dynamics in the asymptotic structure of AdS₃
• Celestial holography: An asymptotic symmetry perspective
• A Chapter on Celestial Holography
• Integrable systems and the boundary dynamics of (higher spin) gravity on AdS₃
• The BMS4 algebra at spatial infinity
• Holographic quantum matter
• Conformal Field Theory, Geometry, and Entropy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• The four laws of black hole mechanics

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