Radially excited rotating black holes in Einstein-Maxwell-Chern-Simons theory

Abstract

Rotating black holes in Einstein-Maxwell-Chern-Simons theory possess remarkable features, when the Chern-Simons coupling constant reaches a critical value. Representing single asymptotically flat black holes with horizons of spherical topology, they exhibit non-uniqueness. In particular, there even exist extremal and non-extremal black holes with the same sets of global charges. Both extremal and non-extremal black holes form sequences of radially excited solutions, that can be labeled by the node number of the magnetic gauge potential function. The extremal Reissner-Nordström solution is no longer always located on the boundary of the domain of existence of these black holes, and it neither remains the single extremal solution with vanishing angular momentum. Instead a whole sequence of rotating extremal $J=0$ solutions is present, whose mass converges towards the mass of the Reissner-Nordström solution. These radially excited extremal solutions are all associated with the same near horizon solution. Moreover, there are near horizon solutions that are not realized as global solutions.

24 pages, 28 figures

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• Axial perturbations of the scalarized Einstein-Gauss-Bonnet black holes
• Charged Rotating AdS Black Holes with Chern-Simons coupling
• Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant
• Squashed, magnetized black holes in $D=5$ minimal gauged supergravity
• Static Einstein-Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime
• AdS${}_5$ magnetized solutions in minimal gauged supergravity
• Solutions of the massive Dirac equation in the near-horizon metric of the extremal five dimensional Myers-Perry black hole with equal angular momenta
• Einstein-Maxwell-Chern-Simons Black Holes
• Radially Excited AdS${}_5$ Black Holes in Einstein--Maxwell--Chern--Simons Theory
• Charged and rotating boson stars in 5-dimensional Einstein-Maxwell(-Chern-Simons) theory