Bardeen black hole chemistry

Understand

In the present paper we try to connect the Bardeen black hole with the concept of the recently proposed black hole chemistry.

• We study thermodynamic properties of the regular black hole with an anti-deSitter background.
• The negative cosmological constant $\Lambda$ plays the role of the positive thermodynamic pressure of the system.
• After studying the thermodynamic variables, we derive the corresponding equation of state and we show that a neutral Bardeen-anti-deSitter black hole has similar phenomenology to the chemical Van der Waals fluid.