Publication Abstracts
Canuto and Hsieh 1981
, and S.-H. Hsieh, 1981: Scale covariant gravitation. VI. Stellar structure and evolution. Astrophys. J., 248, 801-812, doi:10.1086/159204.
Using the scale covariant theory of gravitation, we derive results of interest to stellar structure and evolution.
We first derive the radiative transport equation which finds an immediate application in the study of stellar evolution with a variable gravitational "constant" G.
We show that the Sun's absolute luminosity scales as L ∼ GM/κ, where κ is the stellar opacity. Taking into account that the Earth-Sun distance is also affected by a variable G, it is then shown that the Earth's effective temperature scales like Teff ∼ (G2M/κ)(1/4). Comparisons with previous estimates, based on simple Newtonian framework, are presented and discussed.
A third result that follows from this analysis is that a polytropic equation of state of the form p ∼ ργ is incompatible with a variable G, the correct result being p ∼ ργ(G/β2)(γ-1), where β is the gauge function relating atomic to gravitational times.
Finally, we derive a formula for the age of globular clusters as a function of G, using the previously derived expression for the absolute luminosity.
Numerical estimates are presented.
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BibTeX Citation
@article{ca06600q,
author={Canuto, V. M. and Hsieh, S.-H.},
title={Scale covariant gravitation. VI. Stellar structure and evolution},
year={1981},
journal={Astrophysical Journal},
volume={248},
pages={801--812},
doi={10.1086/159204},
}
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RIS Citation
TY - JOUR ID - ca06600q AU - Canuto, V. M. AU - Hsieh, S.-H. PY - 1981 TI - Scale covariant gravitation. VI. Stellar structure and evolution JA - Astrophys. J. JO - Astrophysical Journal VL - 248 SP - 801 EP - 812 DO - 10.1086/159204 ER -
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