Composite magnetic polytropes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Stellar Structure, Interiors, Evolution, Nucleosynthesis, Ages, Magnetic And Electric Fields, Polarization Of Starlight

Scientific paper

Using the homological Milne variables and the phase portrait of the Lane-Emden equation in these variables we determine the boundary between layers of different polytropic indices. We argue about the homological properties of the equilibrium equation of a polytrope in the presence of a weak poloidal magnetic field and obtain the field distribution in a sequence of composite polytropic stars with uniform density throughout the core (n=0) and an envelope with polytropic index (n=1).

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