Squashed, magnetized black holes in $D=5$ minimal gauged supergravity

Abstract

We construct a new class of black hole solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. These configurations are cohomogeneity-1, with two equal-magnitude angular momenta. In the generic case, they possess a non-vanishing magnetic potential at infinity with a boundary metric which is the product of time and a squashed three-dimensional sphere. Both extremal and non-extremal black holes are studied. The non-extremal black holes satisfying a certain relation between electric charge, angular momenta and magnitude of the magnetic potential at infinity do not trivialize in the limit of vanishing event horizon size, becoming particle-like (non-topological) solitonic configurations. Among the extremal black holes, we show the existence of a new one-parameter family of supersymmetric solutions, which bifurcate from a critical Gutowski-Reall configuration.

45 pages, 15 figures, corrected typos, matches version published in JHEP

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• Squashing the Boundary of Supersymmetric AdS${}_5$ Black Holes
• Supersymmetric $Ad{S}_5$ black holes and strings from 5D $N=4$ gauged supergravity
• Uniqueness of supersymmetric AdS${}_5$ black holes with $SU(2)$ symmetry
• On the uniqueness of supersymmetric AdS${}_5$ black holes with toric symmetry
• Charged pion electric polarizability from four-point functions in lattice QCD
• General Supersymmetric AdS${}_5$ Black Holes with Squashed Boundary
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• Cosmic Censorship at Large D: Stability analysis in polarized AdS black branes (holes)
• Bianchi IX geometry and the Einstein-Maxwell theory
• Solutions of the massive Dirac equation in the near-horizon metric of the extremal five dimensional Myers-Perry black hole with equal angular momenta