
Accession Number : AD0747505
Title : Cosmological Models with Weakly Turbulent Fluctuations of the Metric Superimposed on a Homogeneous and Isotropic Background Metric.
Descriptive Note : Doctoral thesis,
Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF
Personal Author(s) : Jackson,John Philip
Report Date : JUN 1972
Pagination or Media Count : 146
Abstract : Uniform and isotropic mathematical models of the expanding universe usually predict an initial singularity of infinite mass density and space curvature. To study possible mechanisms which would avoid the occurance of these singularities, nonuniform cosmological models based on Einstein's field equations are investigated in which random perturbations of long wave lengths are superimposed on the RobinsonWalker metric of the unperturbed models. Techniques of fluid turbulence theory, used to describe random fields by a hierarchy of central moments of the random perturbations, are applied to describe the dynamics of these moments. For the case of small perturbations the hierarchy is truncated and solutions are found. (Author)
Descriptors : (*ASTROPHYSICS, THEORY), QUANTUM THEORY, GRAVITY, PERTURBATION THEORY, FLUID FLOW, TENSOR ANALYSIS, REYNOLDS NUMBER, NAVIER STOKES EQUATIONS, MATHEMATICAL MODELS, TURBULENCE, THESES
Subject Categories : Astrophysics
Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE