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

Understand

We study the information-geometric properties of the Deser-Sarioglu-Tekin black hole, which is a higher derivative gravity solution with contributions from a non-polynomial term of the Weyl tensor to the Einstein-Hilbert Lagrangian.

• Our investigation is focused on deriving the relevant information metrics and their scalar curvatures on the space of equilibrium states.
• The analysis is conducted within the framework of thermodynamic information geometry and shows highly non-trivial statistical behavior.
• Furthermore, the quasilocal formalism, developed by Brown and York, was successfully implemented in order to derive the mass of the Deser-Sarioglu-Tekin black hole.