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Prog. Theor. Phys. Vol. 35 No. 2 (1966) pp. 241-260

[ Full Text PDF : FREE ACCESS (1123K) ]

General Relativistic Instability of Supermassive Stars

Humitaka Satō

Department of Physics, Kyoto University, Kyoto

(Received October 6, 1965)

Abstract:

The instability criterion for a star without rotation is derived by the method of variation, in the post-Newtonian approximation, and proved to coincide with the results of Chandrasekhar's paper.
To apply this criterion to the supermassive stars, we have calculated the adiabatic exponent in the case of electron pair creation, and obtained the following results: The instability results from the general relativistic effect for stars of M > 3.5·104M⊙, and from electron pair creation for M < 3.5·104M⊙.
The applicability of our treatments is limited to 109M⊙ > M > 103M⊙: The upper limit results from the fact that a star above this limit cannot be in quasi-static equilibrium but must be in free fall contraction, and the lower limit results from our assumption about the structure, which takes a simple polytrope of index 3.


URL : http://ptp.ipap.jp/link?PTP/35/241/
DOI : 10.1143/PTP.35.241

[ Full Text PDF : FREE ACCESS (1123K) ] Citation:

References:

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  7. Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1318-1324 :
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