Contreras, E. and Di Teodoro, A. and Lopez, A. (2025) Self-gravitating anisotropic spheres and non-local equations of state through the fractional calculus. EUROPEAN PHYSICAL JOURNAL PLUS, 140 (5): 451. ISSN 2190-5444
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In this work, we study static, spherically symmetric anisotropic configurations that obey a non-local equation of state relating radial pressure and energy density. Non-locality is introduced via the Caputo fractional derivative. We analyze in detail the impact of the fractional parameter on the behavior of the material sector. We find that for some values of the parameter, the mass density, the radial and tangential pressures reach their maximum value at the center and decrease monotonically toward the surface, as expected. We analyze the maximum mass allowed by our solution thorough a M-R diagram. We find that, based on the parameters considered, the maximum mass is on the order of three solar masses for a radius of approximately 15.6 km. We also find that increasing the fractional parameter leads to an increase in the compactness of the star, from 0.19 to 0.28.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | OF-STATE |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 May 2026 06:32 |
| Last Modified: | 07 May 2026 06:32 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66790 |
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