Thermodynamics and phase transition in rotational Kiselev black hole

Understand

In this work, we investigate the thermodynamic properties of rotational Kiselev black holes (KBH).

• Specifically, we use the first-order approximation of the event horizon (EH) to calculate thermodynamic properties for general equations of state $\omega$.
• These thermodynamic properties include areas, entropies, horizon radii, surface gravities, surface temperatures, Komar energies and irreducible masses at the Cauchy horizon (CH) and EH.
• We study the products of these thermodynamic quantities, we find that these products are determined by the equation of state $\omega$ and strength parameter $\alpha$.