Schwarzschild and Birkhoff a la Weyl

Deser, Stanley; Franklin, J.

doi:10.1119/1.1830505

Schwarzschild and Birkhoff a la Weyl

Stanley Deser
(
- Brandeis U.
)
,
J. Franklin
(
- MIT, MKI
)

Aug, 2004

8 pages

Published in:

Am.J.Phys. 73 (2005) 261-264

e-Print:

gr-qc/0408067 [gr-qc]

DOI:

10.1119/1.1830505

Report number:

BRX-TH-547

View in:

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Abstract: (arXiv)

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.

01.40.-d
41.20.Cv
03.50.De
04.20.Jb
Schwarzschild metric
Maxwell equations
electric charge
physics education
general relativity
space-time: Schwarzschild

References(5)

Figures(0)

The principle of symmetric criticality

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- Commun.Math.Phys. 69 (1979) 1, 19-30
•
DOI:
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The Principle of symmetric criticality in general relativity

Mark E. Fels
(
- Utah State U.
)
,
Charles G. Torre
(
- Utah State U.
)

- Class.Quant.Grav. 19 (2002) 641-676
•
e-Print:
- gr-qc/0108033
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DOI:
- 10.1088/0264-9381/19/4/303

Shortcuts to high symmetry solutions in gravitational theories

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(
- Brandeis U.
)
,
Bayram Tekin
(
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- Class.Quant.Grav. 20 (2003) 4877-4884
•
e-Print:
- gr-qc/0306114
•
DOI:
- 10.1088/0264-9381/20/22/011

Shortcuts to spherically symmetric solutions: A Cautionary note

Stanley Deser
(
- Brandeis U.
)
,
J. Franklin
(
- MIT
)
,
B. Tekin
(
- Middle East Tech. U., Ankara
)

- Class.Quant.Grav. 21 (2004) 5295-5296
•
e-Print:
- gr-qc/0404120
•
DOI:
- 10.1088/0264-9381/21/22/N01

The Dynamics of general relativity

- Gen.Rel.Grav. 40 (2008) 1997-2027
•
e-Print:
- gr-qc/0405109
•
DOI:
- 10.1007/s10714-008-0661-1