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Dionysiou, Demetrios D.

Equilibrium of a static charged perfect fluid sphere. (English) Zbl 0543.76062

Astrophys. Space Sci. 85, 331-343 (1982).
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.

Cited in 33 Documents

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 equation

Citations:

Zbl 0020.28501
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Full Text: DOI

References:

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