Non-localizability of electric coupling and gravitational binding of charged objects
Abstract
The energy momentum tensor in general relativity contains only localized contributions to the total energy momentum. Here, we consider a static, spherically symmetric object consisting of a charged perfect fluid. For this object, the total gravitational mass contains a non-localizable contribution of electric coupling (ordinarily associated with electromagnetic mass). We derive an explicit expression for the total mass which implies that the non-localizable contribution of electric coupling is not bound together by gravity, thus ruling out the existence of objects with pure Lorentz electromagnetic mass in general relativity.
- Publication:
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Classical and Quantum Gravity
- Pub Date:
- December 2007
- DOI:
- 10.1088/0264-9381/24/23/019
- arXiv:
- arXiv:0708.2037
- Bibcode:
- 2007CQGra..24.5999C
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 7 pages, no figures