Unstable degenerates revisited

Astronomy and Astrophysics – Astrophysics

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B Stars, Degenerate Matter, Nonstabilized Oscillation, Stellar Interiors, White Dwarf Stars, Chandrasekhar Equation, Relativistic Theory

Scientific paper

Chandrasekhar & Tooper (1964) found that a sequence of increasingly massive helium white dwarfs suffers a general relativistic pulsational instability when the radius R(M) has been reduced to a value such that R/Rs is about 246, where R(S) is the Schwarzschild radius 2GM/c-squared. We show that this curious dimensionless number is essentially (2M(p)/m(e)) exp 2/3 is about 238, where M(p) and m(e) are the masses of the proton and electron, respectively. The case of different compositions is also covered by our analysis; in general, the corresponding result is (mu(e) M(p)/m(e)) exp 2/3, where mu(e) is the mean molecular weight per electron.

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