Analytic construction of a 5D rotating braneworld black hole using Janis-Newman algorithm in Hopf coordinates that induces Kerr on the brane and connects to AdS5 boundary through bulk anisotropic fluid.
Notes on Five-dimensional Kerr Black Holes
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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.
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Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS$_5$ boundary
Analytic construction of a 5D rotating braneworld black hole using Janis-Newman algorithm in Hopf coordinates that induces Kerr on the brane and connects to AdS5 boundary through bulk anisotropic fluid.