Schwarzschild and Birkhoff a la Weyl

Details Schwarzschild and Birkhoff a la Weyl Schwarzschild and Birkhoff a la Weyl

2004-08-19

arxiv.org/abs/gr-qc/0408067v2

Am.J.Phys.73:261-264,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1119/1.1830505

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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