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arXiv · 2311.08341

A fractional matter sector for general relativity

J. Palacios·A. Di Teodoro·E. fuenmayor·E. Contreras
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Abstract

In this work, we construct a fractional matter sector for general relativity. In particular, we propose a suitable fractional anisotropy function relating both the tangential and radial pressure of a spherically symmetric fluid based on the Gr\"unwald-Letnikov fractional derivative. The system is closed by implementing the polytropic equation of state for the radial pressure. We solve the system of integro-differential equations by Euler's method and explore the behavior of the physical quantities, namely, the normalized density energy, the normalized mass function, and the compactness.

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J. Palacios, A. Di Teodoro, E. fuenmayor, E. Contreras. 2023-11-14. A fractional matter sector for general relativity. https://arxiv.org/abs/2311.08341

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