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Prog. Theor. Phys. Vol. 36 No. 3 (1966) pp. 504-514

[ Full Text PDF : FREE ACCESS (690K) ]

Central Temperature and Density of Stars in Gravitational Equilibrium

Katsuo Takarada, Humitaka Sato and Chushiro Hayashi

Department of Physics, Kyoto University, Kyoto

(Received April 20, 1966)

Abstract:

The relation between the central temperature and the central density is investigated for a polytropic star and a polytropic (or isothermal) stellar core, which are in gravitational equilibrium. The ranges of the temperature and density cover the cases of non-degenerate and degenerate, non-relativistic as well as relativistic, electrons. It is shown that, when the mass of the star or of the core is smaller than a certain critical value which depends slightly on the polytropic index N and is equal to Chandrasekhar's limiting mass for N = 3, the central temperature takes a maximum value depending on the mass at the onset stage of the electron degeneracy.


URL : http://ptp.ipap.jp/link?PTP/36/504/
DOI : 10.1143/PTP.36.504

[ Full Text PDF : FREE ACCESS (690K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 3 (1968) pp. 619-634 :
    Evolution of Carbon Stars. I
    Tadayuki Murai, Daiichiro Sugimoto, Reiun Hōshi and Chushiro Hayashi
  2. Progress of Theoretical Physics Vol. 39 No. 6 (1968) pp. 1432-1447 :
    Evolution of Carbon Stars. II
    Daiichiro Sugimoto, Yoshiaki Yamamoto, Reiun Hōshi and Chushiro Hayashi
  3. Progress of Theoretical Physics Vol. 41 No. 5 (1969) pp. 1211-1216 :
    Hydrostatic Instability in Very High Temperature Stars
    Naoki Itoh
  4. Progress of Theoretical Physics Vol. 43 No. 2 (1970) pp. 319-333 :
    Evolution of Iron Stars
    Kiyoshi Nakazawa, Tadayuki Murai, Reiun Hōshi and Chushiro Hayashi
  5. Progress of Theoretical Physics Vol. 46 No. 6 (1971) pp. 1713-1737 :
    Stellar Evolution toward Pre-Supernova Stage. I
    Satoru Ikeuchi, Kiyoshi Nakazawa, Tadayuki Murai, Reiun Hōshi and Chushiro Hayashi

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