Fractional Schwarzschild-Tangherlini black hole with a fractal event horizon
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| Format: | Preprint |
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2025
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| _version_ | 1866911061018411008 |
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| author | Jalalzadeh, S. Moradpour, H. Jafari, G. R. Moniz, P. V. |
| author_facet | Jalalzadeh, S. Moradpour, H. Jafari, G. R. Moniz, P. V. |
| contents | We demonstrate that the implementation of the fractional and non-local Wheeler--DeWitt (WDW) equation within the context of Schwarzschild geometry leads to the emergence of a Schwarzschild--Tangherlini black hole (BH), which is uniquely characterized by an event horizon that exhibits fractal properties and is defined by a non-integer dimension that lies in the continuum between the values of 1 and 2. Our calculations further reveal that this intriguing fractional BH may potentially possess a temperature that is substantially lower than that of a conventional BH, thereby suggesting a significant deviation from the expected thermodynamic properties of standard BHs. These remarkable characteristics, which are intrinsically linked to the non-integer dimensionality of the event horizon, likely arise from applying the Riesz fractional derivative as a sophisticated non-local operator, thus introducing fascinating dynamics into the theoretical framework of BH physics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_06031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional Schwarzschild-Tangherlini black hole with a fractal event horizon Jalalzadeh, S. Moradpour, H. Jafari, G. R. Moniz, P. V. General Relativity and Quantum Cosmology High Energy Physics - Theory We demonstrate that the implementation of the fractional and non-local Wheeler--DeWitt (WDW) equation within the context of Schwarzschild geometry leads to the emergence of a Schwarzschild--Tangherlini black hole (BH), which is uniquely characterized by an event horizon that exhibits fractal properties and is defined by a non-integer dimension that lies in the continuum between the values of 1 and 2. Our calculations further reveal that this intriguing fractional BH may potentially possess a temperature that is substantially lower than that of a conventional BH, thereby suggesting a significant deviation from the expected thermodynamic properties of standard BHs. These remarkable characteristics, which are intrinsically linked to the non-integer dimensionality of the event horizon, likely arise from applying the Riesz fractional derivative as a sophisticated non-local operator, thus introducing fascinating dynamics into the theoretical framework of BH physics. |
| title | Fractional Schwarzschild-Tangherlini black hole with a fractal event horizon |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.06031 |