Other
Scientific paper
Jan 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977apj...211..266m&link_type=abstract
Astrophysical Journal, vol. 211, Jan. 1, 1977, pt. 1, p. 266-269. Research supported by the Valdosta State College.
Other
3
Einstein Equations, Relativity, Stellar Structure, Thermodynamics, Cosmology, Spheres, Stellar Evolution, Stress Tensors, Symmetry, Thermal Conductivity
Scientific paper
From Einstein's field equation and the second law of thermodynamics it follows that in nonmagnetic thermally conducting static fluids, isobaric surfaces and isothermal surfaces coincide with isopotential surfaces. By symmetry these surfaces must be surfaces of constant curvature. To keep the energy content of the star finite, these surfaces must be closed; that is, positively curved, hence spherical. Since the energy flux divided by the speed of light is small compared with the rest-energy density, spherical symmetry is imposed only on the evolutionary time scale, so that observed stars may depart from perfect spherical symmetry by factors of the order of the ratio of the fluid velocity compared to the speed of light.
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