The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole

The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole

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In this paper, a preliminary correspondence between the thermodynamic curvature and the isoperimetric theorem is established from a 4-dimensional ultraspinning black hole.We find Car Sunshade that the thermodynamic curvature of ultraspinning black hole is negative which means the ultraspinning black hole is likely to present an attractive between its molecules phenomenologically if we accept the analogical observation that the thermodynamic curvature reflects the interaction between molecules in a black hole system.Meanwhile we obtain a general conclusion that the thermodynamic curvature of the extreme black hole of the super-entropic black hole has a (positive or negative) remnant approximately proportional Carvin skimmer to the reciprocal of entropy of the black hole.