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Schwarzschild and Birkhoff a la Weyl

S. Deser, J. Franklin

gr-qcarXiv:gr-qc/0408067

Abstract

We provide a simple derivation of the Schwarzschild solution in General Relativity, generalizing an early approach by Weyl, to include Birkhoff's theorem: constancy of the mass; its deeper, Hamiltonian, basis is also given. Our procedure is illustrated by a parallel derivation of the Coulomb field and constancy of electric charge, in electrodynamics.

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