Hawking Temperature, Sparsity and Energy Emission Rate of Dark Matter Halo Regular Black Holes
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908995659235328 |
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| author | Ahmed, Faizuddin Silva, Edilberto O. |
| author_facet | Ahmed, Faizuddin Silva, Edilberto O. |
| contents | 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 $α$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24659 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hawking Temperature, Sparsity and Energy Emission Rate of Dark Matter Halo Regular Black Holes Ahmed, Faizuddin Silva, Edilberto O. General Relativity and Quantum Cosmology High Energy Physics - Theory 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 $α$ 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. |
| title | Hawking Temperature, Sparsity and Energy Emission Rate of Dark Matter Halo Regular Black Holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.24659 |