How large can a star Be?

In a recent article Schoen and Yau (1983) developed an inequality which shows that there exists a relationship between the minimum energy density rho sub 0 in a star and the size R of the star, of the form rho sub 0 (R-squared) equal to or less than pi/6. This article shows that this inequality is v...

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Bibliographic Details
Published in:Physical review letters 1986-11, Vol.57 (19), p.2466-2469
Main Author: OMURCHADHA, NIALL
Format: Article
Language:English
Subjects:
Applied sciences
Astronomy
Earth, ocean, space
Emission-line stars (of, be, luminous blue variables, wolf-rayet, etc.)
Exact sciences and technology
Other techniques and industries
Stars
Variable and peculiar stars (including novae)
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Summary:In a recent article Schoen and Yau (1983) developed an inequality which shows that there exists a relationship between the minimum energy density rho sub 0 in a star and the size R of the star, of the form rho sub 0 (R-squared) equal to or less than pi/6. This article shows that this inequality is valid for two different measures of the size of the star, and conjectures that the inequality can be improved to the form rho sub 0 (R-squared) equal to or less than 3 pi/32. (Author)
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.57.2466