Notes on Five-dimensional Kerr Black Holes

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.

23 pages, 5 figures; analyses on the Weyl curvature of AdS Kerr black holes are extended, an appendix and references are added

References in corpus (6)

• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• Charged Kerr-de Sitter Black Holes in Five Dimensions
• Sasaki-Einstein Metrics on S^2 x S^3
• Particle Motion and Scalar Field Propagation in Myers-Perry Black Hole Spacetimes in All Dimensions
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Cited by in corpus (7)

• Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor
• Quantum Kerr tunneling vacua on a $(D\bar{D}{)}_4$-brane: An emergent Kerr black hole in five dimensions
• Quantum Kerr(Newman) degenerate stringy vacua in 4D on a non-BPS brane
• Local energy decay of massive Dirac fields in the 5D Myers-Perry metric
• Five dimensional rotating and Quintessence black hole and their hypershadows
• Bulk Cluster Decomposition in AdS/CFT and A No-Go Theorem for Correlators in Microstates of Extremal Black Holes
• Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS${}_5$ boundary