<p>Inspired by string theory topics, we investigate the Reissner–Nordström–AdS black holes in noncommutative geometry with Lorentzian-smeared distributions. Concretely, we study certain thermodynamic properties including the criticality behaviors by computing the relevant quantities. For large radius approximations, we first derive the asymptotic expansions of the mass and charge functions appearing in the metric function of such black holes. Then, we approach the thermodynamical behavior in the extended phase space. After the stability discussion, we inspect the <i>P</i>–<i>V</i> criticality in noncommutative geometry by calculating the corresponding thermodynamic quantities. As a result, we show that the proposed black holes exhibit certain similarities with Van der Waals fluid systems. Finally, we present a discussion on the Joule–Thomson expansion showing perfect universality results appearing in charged AdS black holes.</p>

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Thermodynamics and Criticality of Noncommutative RN–AdS Black Holes

  • Wijdane El Hadri,
  • Maryem Jemri

摘要

Inspired by string theory topics, we investigate the Reissner–Nordström–AdS black holes in noncommutative geometry with Lorentzian-smeared distributions. Concretely, we study certain thermodynamic properties including the criticality behaviors by computing the relevant quantities. For large radius approximations, we first derive the asymptotic expansions of the mass and charge functions appearing in the metric function of such black holes. Then, we approach the thermodynamical behavior in the extended phase space. After the stability discussion, we inspect the PV criticality in noncommutative geometry by calculating the corresponding thermodynamic quantities. As a result, we show that the proposed black holes exhibit certain similarities with Van der Waals fluid systems. Finally, we present a discussion on the Joule–Thomson expansion showing perfect universality results appearing in charged AdS black holes.