https://doi.org/10.1140/epjc/s10052-025-14047-7
Regular Article - Theoretical Physics
Phantom RN-AdS black holes in noncommutative space
1
Laboratoire de Physique Mathématique et Subatomique, Faculté des Sciences Exactes, Université Constantine 1, Constantine, Algeria
2
Department of Physics, Faculty of Science, University of Hradec Kralove, Rokitanskeho 62/26, 500 03, Hradec Kralove, Czech Republic
Received:
13
February
2025
Accepted:
6
March
2025
Published online:
18
March
2025
We analyze the effects of noncommutativity on phantom Reissner–Nordström-Anti-de Sitter black holes by modeling mass and charge distributions with Lorentzian profiles. The modified metric function exhibits significant deviations from the classical case, leading to changes in the horizon structure and the suppression of singularities. Through a comparative thermodynamic analysis, we derive expressions for the mass, Hawking temperature, entropy, and heat capacity, identifying stability conditions and phase transitions induced by noncommutative corrections. The efficiency of the black hole as a heat engine is evaluated, showing that noncommutativity influences the thermodynamic cycle differently in the presence of phantom fields. Furthermore, we investigate the orbital motion of test particles and photons, deriving the effective potential, innermost stable circular orbits, and the shadow profile. Finally, we compute quasinormal modes to assess dynamical stability, revealing that noncommutativity modifies the damping behavior and introduces a new branch of non-oscillatory modes, absent in the classical case. Our findings provide a deeper understanding of the interplay between phantom fields, noncommutative geometry, and black hole thermodynamics, offering potential observational signatures for exotic compact objects.
© The Author(s) 2025
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