Equilibrium of a static charged perfect fluid sphere. (English) Zbl 0543.76062
Summary: A study is developed for treating Einstein-Maxwell’s equations, applied to a static perfect fluid sphere with charge, in a such a manner to generalize the J. R. Oppenheimer and G. M. Volkoff hydrostatic equilibrium equation [Phys. Rev., II. Ser. 55, 374-381 (1939; Zbl 0020.28501)]. We suggest reasons which could make the generalization of this equation inapplicable. It is shown that Einstein-Maxwell’s equations predict such special solutions.
MSC:
76E20 | Stability and instability of geophysical and astrophysical flows |
76Y05 | Quantum hydrodynamics and relativistic hydrodynamics |
83C15 | Exact solutions to problems in general relativity and gravitational theory |
83C50 | Electromagnetic fields in general relativity and gravitational theory |
Keywords:
Einstein-Maxwell’s equations; static perfect fluid sphere with charge; Oppenheimer-Volkoff hydrostatic equilibrium equationCitations:
Zbl 0020.28501References:
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