RELATIVISTIC GALACTIC MORPHOLOGY I: GENERAL THEORY,

Abstract

A class C of kinematical models of galactic structures is constructed under the assumption that a galaxy has a definite physical boundary that is geometrically stable with respect to the Einstein gravitational field. After a somewhat lengthy calculation involving intrinsic rest coordinates and conformally related intrinsic surface geometries, it is shown that the discretization equation can be written as if it applied to a two-surface immersed in a Euclidean three space, provided the eccentricity is assumed to be constant. If these results are combined with those obtained from considerations of general quadrics in a number of different spaces, it can be shown that the equilibrium contours of galaxies can be predicted. The predicted shapes obtained in this way provide a detailed morphological classification for the ellipticals and possibly for the SO's. In particular, the observed boundaries of NGC 3115, NGC 128, and IC 3973 may be derived. (Extracted)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1964
Accession Number
AD0608824

Entities

People

  • Dominic G. B. Edelen

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Classification
  • Eccentricity
  • Equations
  • Geometry
  • Gravitational Fields
  • Mathematics
  • Shape

Fields of Study

  • Physics

Readers

  • Astronomy/Astrophysics
  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space