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A critical overview of stationary solar models based on polytropic gases

Department of Mathematics and Applications, University of Naples Federico II, Complesso Universitario di Monte S. Angelo, via Cintia, 80126 Naples, Italy

E-mail Address: marasco@unina.it

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and

Antonio Romano

Department of Mathematics and Applications, University of Naples Federico II, Complesso Universitario di Monte S. Angelo, via Cintia, 80126 Naples, Italy

E-mail Address: antroman@unina.it

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https://doi.org/10.1142/S021988782050084XCited by:0 (Source: Crossref)

Abstract

We critically analyze the models of a main-sequence star based on polytropic gases. First, we put in evidence that the hypothesis of polytropic gas is compatible with the constitutive equation of an ideal gas if the transformations inside the star are adiabatic. Then, neither the mono- or the polyphasic models of an ideal gas can be applied inside the stellar core for the existence in this region of nuclear reactions. Moreover, we prove that polyphasic models doesn’t allow the existence of C¹ solutions of the stationary hydrodynamic equations.

Keywords:

AMSC: 35Q85, 85A30, 85A15

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