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arxiv: gr-qc/0408067 · v2 · submitted 2004-08-19 · 🌀 gr-qc · hep-th

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Schwarzschild and Birkhoff a la Weyl

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classification 🌀 gr-qc hep-th
keywords birkhoffconstancyderivationschwarzschildweylapproachbasischarge
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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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