A SOLUTION OF EINSTEIN'S FIELD EQUATIONS FOR A ROTATING, STATIONARY, AND DUST-FILLED UNIVERSE,

Abstract

The solution of Einstein's field equations for a line element is found. The density may be a function of position, and the cosmological constant is not necessary to have a definite density. The solution reduces to that of Godel if the variable is constant. If the requirement for an empty universe is made, the solution is conformally flat. The characteristics of the conformal curvature tensor are also obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0433478

Entities

People

  • James P. Wright

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Curvature
  • Differential Equations
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Partial Differential Equations
  • Stationary

Fields of Study

  • Physics

Readers

  • Astronomy/Astrophysics
  • Graph Algorithms and Convex Optimization.
  • Operations Research