Supersymmetric Kerr–anti-de Sitter solutions

2005/04/18 by Mirjam Cvetič, Mirjam Cvetic, Peng Gao +1 · 2 citations
Mathematics · Physics and Astronomy · #Angular momentum #Anti-de Sitter space #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Naked singularity #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scaling #Scaling limit #Singularity #Spinor #hep-th

paper · pdf · doi:10.1103/physrevd.72.021701

published as Phys.Rev.D72:021701,2005 · 15 pages, no figures

arxiv created 2005/04/18 · openalex publication_date 2005/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We prove the existence of one quarter supersymmetric type IIB configurations that arise as nontrivial scaling solutions of the standard five-dimensional Kerr--anti-de Sitter black holes by the explicit construction of its Killing spinors. This neutral, spinning solution is asymptotic to the static anti-de Sitter space-time with cosmological constant \ensuremath-\frac1\ensuremathℓ², it has two finite equal angular momenta J₁=\ifmmode±\else\textpm\fiJ₂, mass M=\frac1\ensuremathℓ(|J₁|+|J₂|) and a naked singularity. We also address the scaling limit associated with one-half supersymmetric solution with only one angular momentum.

Citations

• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• The general Kerr–de Sitter metrics in all dimensions
• SUSY and Goliath
• Supersymmetry of anti-de Sitter black holes

Cited by

• New Einstein-Sasaki Spaces in Five and Higher Dimensions
• On the supersymmetric limit of Kerr-NUT-AdS metrics