A method of analytically solving first order nonlinear ordinary differential equations with polynomial coefficients is presented. This method essentially updates the work of G. Darboux, completed in 1878, by using the algebraic capabilities of the modern digital computer to solve systems of nonlinear algebraic equations. The solution of these systems results in integration factors for the original first order differential equation. / This method of solution is applied to the spherically symmetric but time-dependent Einstein equations. It is then shown that when the spherical symmetry constraint is removed and the same form of the metric is otherwise used, the time-dependent Einstein equations can be solved by essentially the same procedure. / Source: Dissertation Abstracts International, Volume: 45-11, Section: B, page: 3531. / Thesis (Ph.D.)--The Florida State University, 1984.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_75463 |
| Contributors | HELLMANN, BRUCE P., Florida State University |
| Source Sets | Florida State University |
| Detected Language | English |
| Type | Text |
| Format | 78 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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