  The idea of Chandrasekhar condition of the equilibrium and stability for a
star is revisited in the nonextensive kinetic theory based on Tsallis entropy.
A new analytical formula generalizing the Chandrasekhar condition is derived by
assuming that the stellar matter is kinetically described by the generalized
Maxwell-Boltzmann distribution in Tsallis statistics. It is found that the
maximum radiation pressure allowed at the center of a star of a given mass is
dependent on the nonextensive parameter q. The Chandrasekhar condition in the
Maxwellian sense is recovered from the new condition in the case of q=1.
