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Birkhoff Theorems in General Relativity
(2014)
Abstract
In the following Maple worksheet I demonstrate three versions of Birkhoff's theorem, which is a characterization of spherically symmetric solutions of the Einstein equations. The three versions considered here correspond to taking the "Einstein equations" to be: (1) the vacuum Einstein equations; (2) the Einstein equations with a cosmological constant (3) the Einstein-Maxwell equations.
Keywords
- Birkhoff theorem,
- General Relativity,
- Einstein Equations,
- Schwarzschild solution,
- spherical symmetry,
- Einstein-Maxwell equations,
- Reissner-Nordstrom solution,
- Kottler solution,
- Einstein space,
- Cosmological constant,
- Maple,
- DifferentialGeometry
Publication Date
May 1, 2014
Citation Information
Charles G Torre. "Birkhoff Theorems in General Relativity" (2014) Available at: http://works.bepress.com/charles_torre/87/