Schwarzschild and Birkhoff a la Weyl

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.

8 pages. Clarifying remarks and historic references added, accepted for publication in Amer. J. Phys

References in corpus (3)

• Shortcuts to high symmetry solutions in gravitational theories
• The Principle of Symmetric Criticality in General Relativity
• Shortcuts to Spherically Symmetric Solutions: A Cautionary Note

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