Exact solutions to Einstein's field equations in the presence of matter are presented. A one parameter family of interior solutions for a static fluid is discussed. It is shown that these solutions can be joined to the Schwarzschild exterior, and hence represent fluid spheres of finite radius. Contained within this family is a set of solutions which are gaseous spheres defined by the vanishing of the density at the surface. One such solution yields an analytic expression which corresponds to the asymptotic numerical solution of Oppenheimer and Volkoff for the degenerate neutron gas. These gaseous spheres have ratios of specific heats that lie between one and two in the vicinity of the origin, increasing outward, but remaining less than the velocity of light throughout.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc331596 |
| Date | 12 1900 |
| Creators | Whitman, Patrick G. |
| Contributors | Redding, Rogers W., Deering, William D., Smirl, Arthur L., Sybert, J. R. |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 103 leaves, Text |
| Rights | Public, Whitman, Patrick G., Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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