TY - JOUR
T1 - A fractional matter sector for general relativity
AU - Palacios, J.
AU - Teodoro, A. Di
AU - Fuenmayor, E.
AU - Contreras, E.
N1 - Publisher Copyright:
© 2023, The Author(s).
PY - 2023/10/4
Y1 - 2023/10/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85173619191&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-023-12067-9
DO - 10.1140/epjc/s10052-023-12067-9
M3 - Artículo
AN - SCOPUS:85173619191
SN - 1434-6044
VL - 83
JO - European Physical Journal C
JF - European Physical Journal C
IS - 10
M1 - 894
ER -