EUP-corrected thermodynamics of BTZ black hole

Abstract: In this manuscript, we investigate the influence of the extended uncertainty principle (EUP) on the thermodynamics of a charged rotating Ba~{n}ados, Teitelboim and Zanelli (BTZ) black hole in (2+1)-dimensional anti-de Sitter (AdS) and de Sitter (dS) space-time, respectively. We find that EUP-corrected Hawking temperature, entropy, volume, Gibbs free energy, pressure, and heat capacity functions have different characteristic behaviors in (A)dS space-time. During the detailed analysis, we obtain a critical horizon in the AdS space-time where the pressure has a non-zero minimum value. However, in the dS space-time, we cannot achieve such a minimum pressure value. Instead, there is a "cut point" where the pressure becomes zero. We show that after that horizon value the black hole becomes unstable, with negative pressure which leads to the collapse of the black hole.