Uniqueness of Kerr-Newman solution

2014/07/21 by A. K. M. Masood-ul-Alam, Masood-ul-Alam, A. K. M.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1407.5381

openalex publication_date 2014/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that non-degenerate multiple black hole solution of Einstein- Maxwell equations in an asymptotically flat axisymmetric spacetime cannot be in stationary equilibrium. This extends the uniqueness of Kerr-Newman solution first proved by Bunting and Mazur in a much wider desirable class. Spin-spin interaction cannot hold the black hole aparts even with electromagnetic forces.

Citations

• Republication of: Black hole equilibrium states
• Extending the Black Hole Uniqueness Theorems, I. Accelerating Black Holes: The Ernst Solution and C-Metric
• On the proof of the positive mass conjecture in general relativity
• The mass of an asymptotically flat manifold
• A new proof of the positive energy theorem

Related

• On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr-Newman family
• Time-Periodic Einstein--Klein--Gordon Bifurcations of Kerr
• Stationary axisymmetric black holes with matter
• Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics
• On the uniqueness of Kerr-de Sitter spacetimes