Chandrasekhar, S. (1938) An integral theorem on the equilibrium of a star Astrophysical Journal, 87 . pp. 535552. ISSN 0004637X

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Official URL: http://adsabs.harvard.edu/abs/1938ApJ....87..535C
Related URL: http://dx.doi.org/10.1086/143944
Abstract
In this paper an integral theorem on the equilibrium of a star is proved which gives the lower limit to the value of P_{c}/ρ_{c}^{(n+I)/n}, assuming that both ρ and P/ρ^{(n+I)/n} do not increase outward. As a special case of the theorem (n = 3) it is shown that for a gaseous star of a given mass in radiative equilibrium, in which ρ and [κη̅]^{r}_{R} do not increase outward, the minimum value of Iβ_{c} is the constant value of (Iβ) ascribed to a standard model configuration of the same mass. For n=∞ the theorem gives the minimum central temperature for a gaseous star with negligible radiation pressure.
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ID Code:  70605 
Deposited On:  17 Nov 2011 14:20 
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