Aspects of the dyonic Kerr-Sen-AdS4 black hole and its ultraspinning version
Abstract
We explore some (especially, thermodynamical) properties of the dyonic Kerr-Sen-AdS4 black hole and its ultraspinning counterpart, and check whether or not both black holes satisfy the first law and Bekenstein-Smarr mass formulas. To this end, new Christodoulou-Ruffini-like squared-mass formulae for the usual dyonic Kerr-Sen-AdS4 solution and its ultraspinning cousin are deduced. Similar to the ultraspinning Kerr-Sen-AdS4 black hole case, we demonstrate that the ultraspinning dyonic Kerr-Sen-AdS4 black hole does not always violate the reverse isoperimetric inequality (RII) since the value of the isoperimetric ratio can either be larger/smaller than, or equal to unity, depending upon the range of the solution parameters, as is the case only with an electric charge. This property is apparently distinct from that of the superentropic dyonic Kerr-Newman-AdS4 black hole, which always strictly violates the RII, although both of them have some similar properties in other aspects, such as the horizon geometry and conformal boundary.
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