Hidden symmetries of black holes in five-dimensional supergravity

2016/08/17 by David D. K. Chow, Chow, David D. K. · 2 citations
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 · pdf · doi:10.48550/arxiv.1608.05052

openalex publication_date 2016/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a general charged, rotating black hole in five-dimensional STU supergravity, and show that its six-dimensional Kaluza-Klein lift admits a Killing-Yano 3-form with torsion. This underlies its known Killing tensors in five dimensions, and is related to the separability of torsion-modified Dirac equations. In the generalization to gauged supergravity, we present a five-dimensional Killing-Yano 3-form with torsion when two of the gauge fields are equal, and a Killing-Stackel tensor in the general 3-charge Wu solution.

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• Thermodynamics and topological classifications of static non-extremal four-charge AdS black hole in the five-dimensional N = 2, STU-W²U gauged supergravity
• Four-charge static non-extremal black holes in the five-dimensional N=2, STU-W²U supergravity

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