https://doi.org/10.1140/epjc/s10052-023-12067-9
Regular Article - Theoretical Physics
A fractional matter sector for general relativity
1
Departamento de Matemática, Colegio de Ciencias e Ingeniería, Universidad San Francisco de Quito USFQ, 170901, Quito, Ecuador
2
Centro de Física Teórica y Computacional, Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, 1050, Caracas, Venezuela
3
Departamento de Física, Colegio de Ciencias e Ingeniería, Universidad San Francisco de Quito USFQ, 170901, Quito, Ecuador
Received:
22
June
2023
Accepted:
22
September
2023
Published online:
4
October
2023
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 Grünwald–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.
© The Author(s) 2023
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