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

TL;DR

This paper constructs and analyzes a new class of ultra-spinning charged black holes in six-dimensional gauged supergravity, revealing diverse thermodynamic behaviors and violations of the reverse isoperimetric inequality.

Contribution

It introduces a novel ultra-spinning solution derived from Chow's black hole and explores its thermodynamics and entropy properties, highlighting differences from known black hole solutions.

Findings

All thermodynamic quantities obey the first law and Bekenstein-Smarr formula.

The ultra-spinning black hole can be sub-entropic or super-entropic.

The solution exhibits violations of the reverse isoperimetric inequality depending on parameters.

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.