Hairy Black Hole Chemistry

Understand

We study the thermodynamics of an exact hairy black hole solution in Anti-deSitter (AdS) spacetime.

• We use the counterterm method supplemented with boundary terms for the scalar field to obtain the thermodynamic quantities and stress tensor of the dual field theory.
• We then extend our analysis by considering a dynamical cosmological constant and verify the isoperimetric inequality.
• Unlike the thermodynamics of Reissner-N\"{o}rdstrom (RN) black hole in this `extended' framework, the presence of the scalar field and its self-interaction make also the criticality possible in the grand canonical ensemble.