Thermodynamic Geometry of black hole in the deformed Horava-Lifshitz gravity

Understand

We investigate the thermodynamic geometry and phase transition of Kehagias-Sfetsos black hole in the deformed Horava-Lifshitz gravity with coupling constant $\lambda=1$.

• The phase transition in black hole thermodynamics is thought to be associated with the divergence of the capacities.
• And the structures of these divergent points are studied.
• We also find that the thermodynamic curvature produced by the Ruppeiner metric is positive definite for all $r_+ > r_-$ and is divergence at $\eta_2=0$ corresponded to the divergent points of $C_{\Phi}$ and $C_T$.