Schwarzschild and Birkhoff a la Weyl
General Relativity and Quantum Cosmology
2008-11-26 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.gr-qc/0408067,
title = {Schwarzschild and Birkhoff a la Weyl},
author = {S. Deser and J. Franklin},
journal= {arXiv preprint arXiv:gr-qc/0408067},
year = {2008}
}
Comments
8 pages. Clarifying remarks and historic references added, accepted for publication in Amer. J. Phys