Inhomogeneous cosmologies: New exact solutions and their evolution

Journal Article · Mon Aug 01 04:00:00 EDT 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523468· OSTI ID:7221407

Szafron, D A

An algorithm is presented for determining all solutions of the Einstein field equations representing a perfect fluid with metric of the form ds/sup 2/=dt/sup 2/-e/sup 2//sup ..cap alpha../dz/sup 2/ -e/sup 2//sup ..beta../(dx/sup 2/+dy/sup 2/) and fluid flow vector u= par delta/par delta t. The entire class of solutions is then invariantly characterized. These new solutions generalize Szekeres' inhomogeneous cosmological models containing dust. A subclass of these solutions is studied in detail; it is interesting that some of these models approach isotropy but not homogeneity for large cosmological times.

• Research Organization: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada
• OSTI ID: 7221407
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
COSMIC DUST
COSMOLOGICAL MODELS
DUSTS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FLUID MECHANICS
HYDRODYNAMICS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
METRICS
RIEMANN SPACE
SPACE