Naval Postgraduate School
Dudley Knox Library
NPS Dudley Knox Library
View Item 
  •   Calhoun Home
  • Theses and Dissertations
  • 1. Thesis and Dissertation Collection, all items
  • View Item
  •   Calhoun Home
  • Theses and Dissertations
  • 1. Thesis and Dissertation Collection, all items
  • View Item
  • How to search in Calhoun
  • My Accounts
  • Ask a Librarian
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

All of CalhounCollectionsThis Collection

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

Cosmological models with weakly turbulent fluctuations of the metric superimposed on a homogeneous and isotropic background metric

Thumbnail
Download
Iconcosmologicalmode00jack.pdf (6.680Mb)
Download Record
Download to EndNote/RefMan (RIS)
Download to BibTex
Author
Jackson, John Philip
Date
1972
Advisor
Woehler, Kai E.
Metadata
Show full item record
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, non-uniform cosmological models based on Einstein's field equations are investigated in which random perturbations of long wave lengths are superimposed on the Robinson- Walker 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. The solutions are either growing or decaying perturbations leading to Rᴹ extra terms in the usual cosmological equations for the curvature radius R. The result agrees with the small perturbation Fourier series expansion analysis which exists in the literature. Based on the upper limit of the anisotropy of the 3° K background radiation, the growing perturbation model predicts a maximum expansion even for k=0, Euclidean spaces. The decaying perturbation solutions give extra terms of the form 1/Rᴹ with m>4 in the cosmological equations and indicate that the mechanism of long wave random perturbations may prevent the original singularity and make oscillatory models possible.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
URI
http://hdl.handle.net/10945/16059
Collections
  • 1. Thesis and Dissertation Collection, all items

Related items

Showing items related by title, author, creator and subject.

  • Thumbnail

    Morphology of unstable waves in a baroclinic jet. 

    Lewis, Stanley P. (1964);
    Solution of a system of second-order partial differential equations obtained from linearized approximations to the vorticity and thermodynamic equations yields phase velocities and amplitude functions which are utilized ...
  • Thumbnail

    The numerical solution and analysis of airplane spin equations modeled in a fixed coordinate system 

    Champoux, Robert Louis (1972-12);
    Three forms of the airplane spin equations of motion, derived by Buehler in Reference [l], form the basis for the development of a computer program designed to seek dynamically stable equilibrium solutions of a spinning ...
  • Thumbnail

    Barotropic Vortex Stability to Perturbations from Axisymmetry 

    Carr, L.E. III; Williams, R.T. (1989-10);
    Tropical cyclones and dynamically similar model vortices robustly maintain a near-axisymmetric horizontal structure where the vortex flow is strongly nonlinear in spite of persistent asymmetric forcing represented by ...
NPS Dudley Knox LibraryDUDLEY KNOX LIBRARY
Feedback

411 Dyer Rd. Bldg. 339
Monterey, CA 93943
circdesk@nps.edu
(831) 656-2947
DSN 756-2947

    Federal Depository Library      


Start Your Research

Research Guides
Academic Writing
Ask a Librarian
Copyright at NPS
Graduate Writing Center
How to Cite
Library Liaisons
Research Tools
Thesis Processing Office

Find & Download

Databases List
Articles, Books & More
NPS Theses
NPS Faculty Publications: Calhoun
Journal Titles
Course Reserves

Use the Library

My Accounts
Request Article or Book
Borrow, Renew, Return
Tech Help
Remote Access
Workshops & Tours

For Faculty & Researchers
For International Students
For Alumni

Print, Copy, Scan, Fax
Rooms & Study Spaces
Floor Map
Computers & Software
Adapters, Lockers & More

Collections

NPS Archive: Calhoun
Restricted Resources
Special Collections & Archives
Federal Depository
Homeland Security Digital Library

About

Hours
Library Staff
About Us
Special Exhibits
Policies
Our Affiliates
Visit Us

NPS-Licensed Resources—Terms & Conditions
Copyright Notice

Naval Postgraduate School

Naval Postgraduate School
1 University Circle, Monterey, CA 93943
Driving Directions | Campus Map

This is an official U.S. Navy Website |  Please read our Privacy Policy Notice  |  FOIA |  Section 508 |  No FEAR Act |  Whistleblower Protection |  Copyright and Accessibility |  Contact Webmaster

Export search results

The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

A logged-in user can export up to 15000 items. If you're not logged in, you can export no more than 500 items.

To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.