Hawking Temperature, Sparsity and Energy Emission Rate of Dark Matter Halo Regular Black Holes

TL;DR

This study analyzes the thermodynamic and radiative properties of regular black holes influenced by dark matter halos, revealing effects on temperature, emission, stability, and flux intermittency compared to standard black holes.

Contribution

It provides closed-form expressions for key thermodynamic quantities of dark matter halo black holes and compares their properties with Schwarzschild black holes, highlighting the impact of dark matter.

Findings

Dark matter halos suppress Hawking temperature and energy emission rate.

Positive specific heat capacity indicates a thermodynamically stable phase.

Dark matter environment increases Hawking flux intermittency.

Abstract

In this paper, we investigate the thermodynamic and radiative properties of a regular black hole sourced by a dark matter halo described by the Einasto density profile. The closed-form expressions for the Hawking temperature, specific heat capacity, sparsity parameter of Hawking flux, and the spectral energy emission rate were obtained. All these are examined as a function of the characteristic scale parameter $\alpha$ of the dark matter distribution and compared with the standard Schwarzschild results. We show that the presence of a dark matter halo suppresses both the Hawking temperature and energy emission rate relative to the standard black hole result. Crucially, the specific heat capacity can be positive for a finite range of horizon radii, signaling a thermodynamically stable phase; the boundary of this stable region defines a Davies-type phase transition. The sparsity parameter is higher than in the standard black hole, indicating that the dark matter environment makes the Hawking flux even more intermittent.