Thermodynamics and phase transition of anti de Sitter black holes with ModMax nonlinear electrodynamics and perfect fluid dark matter

Y. Sekhmani; S. K. Maurya; M. K. Jasim; İ. Sakallı; J. Rayimbaev; I. Ibragimov

doi:10.1140/epjc/s10052-025-13932-5

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 229
https://doi.org/10.1140/epjc/s10052-025-13932-5

Regular Article - Theoretical Physics

Thermodynamics and phase transition of anti de Sitter black holes with ModMax nonlinear electrodynamics and perfect fluid dark matter

Y. Sekhmani¹^,2^,3, S. K. Maurya²^a, M. K. Jasim², İ. Sakallı⁴, J. Rayimbaev⁵^,6^,7^,8^,9 and I. Ibragimov¹⁰

¹ Center for Theoretical Physics, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
² Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, 616, Nizwa, Sultanate of Oman
³ Centre for Research Impact and Outcome, Chitkara University Institute of Engineering and Technology, Chitkara University, 140401, Rajpura, Punjab, India
⁴ Department of Physics, Eastern Mediterranean University, North Cyprus via Mersin 10, 99628, Famagusta, Turkey
⁵ Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
⁶ University of Tashkent for Applied Sciences, Gavhar Str. 1, 100149, Tashkent, Uzbekistan
⁷ Urgench State University, Kh. Alimdjan str. 14, 220100, Urgench, Uzbekistan
⁸ Shahrisabz State Pedagogical Institute, Shahrisabz Str. 10, 181301, Shahrisabz, Uzbekistan
⁹ Tashkent State Technical University, 100095, Tashkent, Uzbekistan
¹⁰ Kimyo International University in Tashkent, Shota Rustaveli Street 156, 100121, Tashkent, Uzbekistan

^a sunil@unizwa.edu.om

Received: 28 December 2024
Accepted: 10 February 2025
Published online: 5 March 2025

Abstract

In this paper, we investigate the thermodynamics and phase transitions of asymptotically anti-de Sitter black holes (BHs) in the presence of ModMax nonlinear electrodynamics (NLED) and perfect fluid dark matter (PFDM). Combining the effects of ModMax theory, characterized by the nonlinearity parameter $γ$ $\gamma$ , and PFDM, described by the parameter $α$ $\alpha$ , we derive an exact solution for the BH metric and analyze its thermodynamic properties. We explore the critical behavior of the BHs by studying the Hawking temperature, heat capacity, and Gibbs free energy. The results demonstrate the existence of phase transitions analogous to those found in van der Waals fluids, with the ModMax parameter and dark matter playing crucial roles in modifying the critical points and stability of the BH. In addition, we employ geometric thermodynamic methods (GTM), including the Weinhold, Ruppeiner, and HPEM metrics, to further examine the stability and phase structure of BHs. Our study provides new insights into how NLED and dark matter are interrelated within BH thermodynamics.

© The Author(s) 2025

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