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arXiv · 2506.06031

Fractional Schwarzschild-Tangherlini black hole with a fractal event horizon

S. Jalalzadeh·H. Moradpour·G. R. Jafari·P. V. Moniz
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Abstract

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.

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S. Jalalzadeh, H. Moradpour, G. R. Jafari, P. V. Moniz. 2025-06-06. Fractional Schwarzschild-Tangherlini black hole with a fractal event horizon. https://doi.org/10.1088/1361-6382%2Fadec32

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