Published March 2007
| Published + Submitted
Journal Article
Open
Time (in)dependence in general relativity
- Creators
-
Deser, S.
- Franklin, J.
Chicago
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
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2010-02-10Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field