Static relativistic perfect fluids with spherical, plane, or hyperbolic symmetry

Journal Article · Sun Sep 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526807· OSTI ID:5558272

Collins, C B

This article examines the Einstein field of equations of general relativity, when the source of the gravitational field is a perfect fluid, and the geometry is static and possesses spherical, plane, or hyperbolic symmetry. This examination unifies, extends, and amends some earlier works. It is shown that a previous qualitative treatment of static spherically symmetric perfect fluids that obey a ..gamma..-law equation of state can be extended to include the cases of plane and hyperbolic symmetry. In the case of plane symmetry, the exact solution is provided for general values of ..gamma... This indicates defects in an earlier prescription that was given for a general equation of state.

• Research Organization: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
• OSTI ID: 5558272
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:9; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EQUATIONS OF STATE
FIELD EQUATIONS
FIELD THEORIES
FLUIDS
GENERAL RELATIVITY THEORY
GEOMETRY
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
MATHEMATICS
SPACE-TIME
SYMMETRY