On the oscillations of a composite stellar model with a weak magnetic field

Statistics – Computation

Scientific paper

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Stellar Cores, Stellar Magnetic Fields, Stellar Models, Stellar Oscillations, Boundary Value Problems, Computational Astrophysics, Magnetic Stars, Poloidal Flux, Stellar Evolution

Scientific paper

The unrestricted second-order virial tensor formalism has been used to calculate the characteristic frequencies of linear adiabatic oscillations of a composite stellar model having an isothermal core and a polytropic envelope in presence of a weak poloidal magnetic field. The frequencies of the transverse shear mode and the nonradial pulsation mode for both a radiative and a convective envelope (corresponding to polytropic index 3 and 1.5, respectively), along with that of the toroidal mode for the radiative envelope, become greater in the presence of the magnetic field. However, the frequency of the toroidal mode for the convective envelope, registers a decrease in presence of the field. The corrections to the various frequencies decrease with increasing values of the parameter characterizing the lowering of the core temperature in presence of the magnetic field.

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