On uniqueness of charged Kerr-AdS black holes in five dimensions

Abstract

We show that the solutions describing charged rotating black holes in five-dimensional gauged supergravities found recently by Cvetic, Lu and Pope [hep-th/0406196,hep-th/0407058] are completely specified by the mass, charges and angular momentum. The additional parameter appearing in these solutions is removed by a coordinate transformation and redefinition of parameters. Thus, the apparent hair in these solutions is unphysical.

arXiv comment11 pages, v2: added mass formula and discussion of discrete non-uniqueness

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• Mass of Rotating Black Holes in Gauged Supergravities
• A gravity interpretation for the Bethe Ansatz expansion of the $\mathcal{N}=4$ SYM index
• Thermodynamics and Stability of Higher Dimensional Rotating (Kerr) AdS Black Holes
• Strong gravitational lensing in a squashed Kaluza-Klein Gödel black hole
• Notes on non-extremal, charged, rotating black holes in minimal D=5 gauged supergravity
• Rotating Hairy Black Holes in AdS${}_5\times$S${}^5$
• Geons with spin and charge
• Scalar emission in a rotating Gödel black hole
• The 2+1 charged black hole in topologically massive Electrodynamics
• Scale-invariant rotating black holes in quadratic gravity
• Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant
• Dual Dressed Black Holes as the end point of the Charged Superradiant instability in $\mathcal{N}=4$ Yang Mills
• Non-supersymmetric asymptotically AdS_5 x S^5 smooth geometries
• Degenerate Black Rings in $D=5$ Minimal Supergravity