Note on stability of new hyperbolic AdS black holes and phase transitions in R\'{e}nyi entropies

Understand

We construct a series of new hyperbolic black hole solutions in Einstein-Scalar system and we apply holographic approach to investigate the spherical R\'{e}nyi entropy in various deformations of dual conformal field theories (CFTs).

• Especially, we introduce various powers of scalars in the scalar potentials for massive and massless scalar.
• These scalar potentials correspond to deformation of dual CFTs.
• Then we solve asymptotically hyperbolic AdS black hole solutions numerically.