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

• Published in: The journal of high energy physics Vol. 2021; no. 11; pp. 1 - 24
• Main Authors: Wu, Di, Wu, Shuang-Qing
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 05.11.2021; Springer Nature B.V; SpringerOpen
• Subjects: Black Holes; Black Holes in String Theory; Classical and Quantum Gravitation; Coordinate transformations; Elementary Particles; High energy physics; Inequality; Parameters; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Rotation; Spacetime; String Theory; Supergravity; Black Holes in String Theory; Black Holes
• DOI: 10.1007/JHEP11(2021)031
• ISSN: 1029-8479

A bstract 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 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.