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We study the information-geometric properties of the Deser-Sarioglu-Tekinblack hole, which is a higher derivative gravity solution with contributionsfrom a non-polynomial term of the Weyl tensor to the Einstein-HilbertLagrangian. Our investigation is focused on deriving the relevant informationmetrics and their scalar curvatures on the space of equilibrium states. Theanalysis is conducted within the framework of thermodynamic informationgeometry and shows highly non-trivial statistical behavior. Furthermore, thequasilocal formalism, developed by Brown and York, was successfully implementedin order to derive the mass of the Deser-Sarioglu-Tekin black hole.

Information Geometry on the Space of Equilibrium States of Black Holes in Higher Derivative Theories