Fractional incompressible stars

Bayin, Selcuk S.
Krisch, Jean P.
In this paper we investigate the fractional versions of the stellar structure equations for non radiating spherical objects. Using incompressible fluids as a comparison, we develop models for constant density Newtonian objects with fractional mass distributions and/or stress conditions. To better understand the fractional effects, we discuss effective values for the density and equation of state. The fractional objects are smaller and less massive than integer models. The fractional parameters are related to a polytropic index for the models considered.


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Properties of matter at ultra-high density, called dense matter, is an important subject that has been studied theoretically and experimentally in recent years. In a very dense system, a composite matter consisting of nucleons, pions, hadrons would overlap, so the new form of matter constituting quarks and gluons would occur at a baryon density of around ten times the ordinary nuclear density. Such a transition could have appeared in the early universe during the first microsecond of the Big Bang, in the co...
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Citation Formats
S. S. Bayin and J. P. Krisch, “Fractional incompressible stars,” ASTROPHYSICS AND SPACE SCIENCE, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: