Statistics – Computation
Scientific paper
Apr 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986azh....63..233r&link_type=abstract
(Astronomicheskii Zhurnal, vol. 63, Mar.-Apr. 1986, p. 233-239) Soviet Astronomy (ISSN 0038-5301), vol. 30, Mar.-Apr. 1986, p. 1
Statistics
Computation
Computational Astrophysics, Density Distribution, Gravitational Fields, Incompressible Fluids, Relativistic Theory, Static Characteristics, Cosmology, Einstein Equations, Equations Of State, Equilibrium Equations
Scientific paper
Static V4 fields and equilibrium distributions of a plane-symmetric gravitating liquid are studied in the framework of the general relativity theory, on the basis of the obtained analytic solutions, for polytropic relativistic equations of state. P = nɛ (0 < n ≤ 1), as well as for a plane homogeneous layer of a non-compressible medium with ɛ0 = const. It is shown that plane-symmetric static solutions of the Einstein equations always contain a physical vacuum singularity, a singular repulsing plane with negative gravitational mass, and are thus principally different from an infinite plane equilibrium layer of liquid in the Newtonian theory.
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