Date of Award

12-2012

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Alex Freire

Committee Members

Morwen Thistlethwaite, Henry Simpson

Abstract

It is well known in Newtonian theory that static self-gravitating perfect fluids in a vacuum are necessarily spherically symmetric. The necessity of spherical symmetry of perfect-fluid static spacetimes with constant density in general relativity is shown.

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