NOTES ON FIVE-DIMENSIONAL KERR BLACK HOLES

2005/02/28 by Makoto Sakaguchi, Yukinori Yasui · 8 citations
Mathematics · Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Geodesic #Geometry #Mathematical physics #Physics #Rotating black hole #Space (punctuation) #gr-qc #hep-th #math.DG

paper · pdf · doi:10.1142/s0217751x06028837

published in International Journal of Modern Physics A 21(11), 2331-2352 (World Scientific) · 23 pages, 5 figures; analyses on the Weyl curvature of AdS Kerr black holes are extended, an appendix and references are added

arxiv created 2005/03/01 · openalex publication_date 2006/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The geometry of five-dimensional Kerr black holes is discussed based on geodesics and Weyl curvatures. Kerr-Star space, Star-Kerr space and Kruskal space are naturally introduced by using special null geodesics. We show that the geodesics of AdS Kerr black hole are integrable, which generalizes the result of Frolov and Stojkovic. We also show that five-dimensional AdS Kerr black holes are isospectrum deformations of Ricci-flat Kerr black holes in the sense that the eigenvalues of the Weyl curvature are preserved.

Citations

• The general Kerr–de Sitter metrics in all dimensions
• Particle motion and scalar field propagation in Myers–Perry black-hole spacetimes in all dimensions
• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• Particle and light motion in a space-time of a five-dimensional rotating black hole
• Global Structure of the Kerr Family of Gravitational Fields

Cited by

• Five dimensional rotating and Quintessence black hole and their hypershadows