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Title
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Fractional Schwarzschild–Tangherlini black hole with a fractal event horizon
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Type
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JournalPaper
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Keywords
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fractional, Schwarzschild–Tangherlini, black hole, fractal, Wheeler–DeWitt equation
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Abstract
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We demonstrate that the implementation of the fractional and non-local Wheeler–DeWitt 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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Researchers
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Paulo Vargas Moniz (Fourth Researcher), Hooman Moradpour (Second Researcher), Shahram Jalalzadeh (First Researcher)
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