Static solutions and equilibrium distributions of a gravitating fluid in general relativity. I - Plane symmetry

Journal Article · Tue Apr 01 04:00:00 EST 1986 · Sov. Astron. (Engl. Transl.); (United States)

OSTI ID:6779613

Ruban, V A

The general relativity of static V4 gravitational fields with planar symmetry is examined, along with the associated equilibrium distributions of a gravitating fluid for relativistic polytropic state equations. An exact static interior solution derived for the Einstein equations is shown to contain a singular Taub-Kasner vacuum source with a negative bare gravitational mass on the Z = 0 plane, on which the entire distribution of gravitating matter halts. The results demonstrate that General Relativity has no analog in Newtonian models of a planar, symmetric, equilibrium layer of a gravitating fluid. 19 references.

• Research Organization: Leningradskii Institut Iadernoi Fiziki, Leningrad, USSR
• OSTI ID: 6779613
• Journal Information: Sov. Astron. (Engl. Transl.); (United States), Journal Name: Sov. Astron. (Engl. Transl.); (United States) Vol. 30; ISSN SAAJA
• Country of Publication: United States
• Language: English

Related Subjects

640106 -- Astrophysics & Cosmology-- Cosmology
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGY
DENSITY
EINSTEIN FIELD EQUATIONS
EQUATIONS
EQUATIONS OF STATE
FIELD EQUATIONS
FIELD THEORIES
FLUIDS
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
PHYSICAL PROPERTIES
SYMMETRY