Perturbed thermodynamics of charged black hole solution in Rastall theory

Understand

We study the thermodynamics of a charged black hole surrounded by a perfect fluid in Rastall theory and investigate three different cases of quintessence, dust and radiation fields.

• By considering thermal fluctuations, we study the corrected thermodynamics of the system.
• We investigate the effects of thermal fluctuations on the black hole stability, phase transition and critical points.
• We show that the thermal fluctuations increase instability of the black hole and may yield to the second order phase transition.