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Aspects of the dyonic Kerr-Sen-AdS$_4$ black hole and its ultraspinning version
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abstract
We explore some (especially, thermodynamical) properties of the dyonic Kerr-Sen-AdS$_4$ 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-AdS$_4$ solution and its ultraspinning cousin are deduced. Similar to the ultraspinning Kerr-Sen-AdS$_4$ black hole case, we demonstrate that the ultraspinning dyonic Kerr-Sen-AdS$_4$ 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-AdS$_4$ 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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Cited by 1 Pith paper
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Scalar Instabilities Inside The Extremal Dyonic Kerr-Sen Black Hole: Novel Exact Solutions and Chronology Protection Conjecture
Inside the extremal dyonic Kerr-Sen black hole, scalar field modes have purely imaginary frequencies, so they do not propagate; the growing modes can destroy the region containing closed timelike curves, supporting th...
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