Abstract
view Abstract Citations (3) References (5) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On the spherical symmetry of static stars in general relativity. Marks, D. W. Abstract 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. Publication: The Astrophysical Journal Pub Date: January 1977 DOI: 10.1086/154927 Bibcode: 1977ApJ...211..266M Keywords: Einstein Equations; Relativity; Stellar Structure; Thermodynamics; Cosmology; Spheres; Stellar Evolution; Stress Tensors; Symmetry; Thermal Conductivity; Astrophysics full text sources ADS |
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