Phantom RN-AdS black holes in noncommutative space

TL;DR

This paper explores how noncommutative geometry affects phantom RN-AdS black holes, altering their horizon structure, thermodynamics, stability, and observable features like shadows and quasinormal modes.

Contribution

It introduces a detailed analysis of noncommutative effects on phantom RN-AdS black holes, including thermodynamics, stability, and observational signatures, which are novel in this context.

Findings

Noncommutativity modifies horizon structure and suppresses singularities.

Thermodynamic properties and phase transitions are significantly affected.

Noncommutativity influences black hole shadows and quasinormal modes.

Abstract

We analyze the effects of noncommutativity on phantom Reissner-Nordstr\"om-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