On explicit thermodynamic functions and extremal limits of Myers-Perry black holes

Understand

We study thermodynamic properties of Myers-Perry black holes by deriving explicit fundamental relations from which we can obtain the temperature and specific heat in terms of explicit control parameters in arbitrary dimensions.

• Using the definition of extremal black holes we establish the generalized Kerr bound in arbitrary dimension.
• We study thermodynamic geometries of the Myers-Perry black holes with equal angular momenta in arbitrary dimensions and draw thermodynamic cone diagrams which capture the extremal limits of the black holes.
• Thermodynamic state space is represented geometrically as a wedge embedded in Minkowski space.