Instability of g-modes with large l-number in a star whose core is neutrally stable

Astronomy and Astrophysics – Astronomy

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Stellar Cores, Stellar Oscillations, Stellar Structure, Vibration Mode, Abundance, Adiabatic Equations, Equilibrium Equations, Solar Oscillations, Stellar Models

Scientific paper

The possibility that superadiabaticity in the solar core can excite large-scale g-mode instability was examined analytically. The star model used comprised a neutral core, an intermediate radiative zone and a convective envelope. A numerical analysis was performed of hydrogen burning through the pp reaction. It is shown that the low-mass model star can have a pulsationally stable g-mode characterized by large (spherical harmonics) l-values, provided the core has a sufficiently large superadiabaticity gradient. The resulting oscillation will increase in proportion to l. Rapid time fluctuations in the solar neutrino flux indicate that the sun does have a core in adiabatic equilibrium.

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