Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions

TL;DR

This paper explores the thermodynamics of high-dimensional noncommutative AdS black holes with non-Gaussian matter distributions, revealing conditions for extremality, phase transitions, and the applicability of the Maxwell equal area law.

Contribution

It introduces a detailed analysis of thermodynamic behaviors of noncommutative high-dimensional black holes with non-Gaussian matter, extending previous Gaussian-based models.

Findings

Gaussian distribution not suitable for dimensions 6 and above due to hoop conjecture

Existence conditions for extremal black holes derived

Maxwell equal area law applies within specific temperature ranges

Abstract

Considering non-Gaussian smeared matter distributions, we investigate thermodynamic behaviors of the noncommutative high-dimensional Schwarzschild-Tangherlini anti-de Sitter black hole, and obtain the condition for the existence of extreme black holes. We indicate that the Gaussian smeared matter distribution, which is a special case of non-Gaussian smeared matter distributions, is not applicable for the 6- and higher-dimensional black holes due to the hoop conjecture. In particular, the phase transition is analyzed in detail. Moreover, we point out that the Maxwell equal area law maintains for the noncommutative black hole whose Hawking temperature is within a specific range, but fails for that whose the Hawking temperature is beyond this range.