A solution to Einstein's gravitational field equation for a spherically symmetrical static perfect fluid

Author

Lionel Donnell Hewett

Abstract

"Given spherical symmetry, Einstein's gravitational field equations are reduced to a single, second order, linear, homogeneous differential equation. The solution of this equation for a homogeneous sphere is identical with Schwarzschild's solution...Values of relative density, interior mass, relative pressure, relative and absolute temperature are obtained as functions of radius, r, and are compared with corresponding values for the homogeneous sphere, and for a model sun"--Abstract, page v.

Advisor(s)

Rivers, Jack L.

Committee Member(s)

Willett, Joseph E.
Lund, Louis H., 1919-1998

Department(s)

Physics

Degree Name

Ph. D. in Physics

Publisher

University of Missouri at Rolla

Publication Date

1965

Pagination

ix, 69 pages

Note about bibliography

Includes bibliographical references (page 62).

Rights

© 1965 Lionel Donnell Hewett, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Einstein field equationsGravitational fields -- Mathematical modelsFluid dynamics -- Mathematical models

Thesis Number

T 1795

Print OCLC #

5969019

Electronic OCLC #

835100433

Recommended Citation

Hewett, Lionel Donnell, "A solution to Einstein's gravitational field equation for a spherically symmetrical static perfect fluid" (1965). Doctoral Dissertations. 2111.
https://scholarsmine.mst.edu/doctoral_dissertations/2111