Ultra-spinning Chow's black holes in six-dimensional gauged supergravity and their properties

Abstract

By taking the ultra-spinning limit as a simple solution-generating trick, a novel class of ultra-spinning charged black hole solutions has been constructed from Chow's rotating charged black hole with two equal-charge parameters in six-dimensional $\mathcal{N}=4$ gauged supergravity theory. We investigate their thermodynamical properties and then demonstrate that all thermodynamical quantities completely obey both the differential first law and the Bekenstein-Smarr mass formula. For the six-dimensional ultra-spinning Chow's black hole with only one rotation parameter, we show that it does not always obey the reverse isoperimetric inequality, thus it can be either sub-entropic or super-entropic, depending upon the ranges of the mass parameter and especially the charge parameter. This property is obviously different from that of the six-dimensional singly-rotating Kerr-AdS super-entropic black hole, which always strictly violates the RII. For the six-dimensional doubly-rotating Chow's black hole but ultra-spinning only along one spatial axis, we point out that it may also obey or violate the RII, and can be either super-entropic or sub-entropic in general.

22 pages, 8 figures, 3 tables, match the published version of JHEP

References in corpus (14)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• General Kerr-NUT-AdS Metrics in All Dimensions
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• A supersymmetric black lens
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• Equal charge black holes and seven dimensional gauged supergravity
• Aspects of the dyonic Kerr-Sen-AdS${}_4$ black hole and its ultraspinning version
• Notes on thermodynamics of super-entropic AdS black holes
• The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole
• Ultra-Spinning Gauged Supergravity Black Holes and their Kerr/CFT Correspondence
• Null Hypersurfaces in Kerr-Newman-AdS Black Hole and Super-Entropic Black Hole Spacetimes
• Null hypersurface caustics for high dimensional superentropic black holes
• Null Hypersurface Caustics, Closed Null Curves, and Super-Entropy
• Asymptotically flat multi-black lenses