Published March 2007
| Published + Submitted
Journal Article
Open
Time (in)dependence in general relativity
- Creators
- Deser, S.
- Franklin, J.
Abstract
We clarify the conditions for Birkhoff's theorem, that is, time independence in general relativity. We work primarily at the linearized level where guidance from electrodynamics is particularly useful. As a bonus, we also review how the equivalence principle results from general relativity. The basic time-independent solutions due to Schwarzschild and Kerr provide concrete illustrations of the theorem. Only familiarity with Maxwell's equations and tensor analysis is required.
Additional Information
© 2007 American Association of Physics Teachers. Received 6 July 2006; accepted 1 December 2006. I would like to thank L. Moriconi and C. Tomei for useful discussions. The remarks of two anonymous referees are gratefully acknowledged, especially for pointing out Ref. 7 and correcting the wave functions for the infinite potential well. This work has been partially supported by Faperj.Attached Files
Published - DESajp07.pdf
Submitted - 0607020.pdf
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DESajp07.pdf
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Additional details
- Eprint ID
- 17392
- Resolver ID
- CaltechAUTHORS:20100205-080823285
- Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ)
- Created
-
2010-02-10Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field