Nonlocalizability 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 nonlocalizable contribution of electric coupling (ordinarily associated with electromagnetic mass). We derive an explicit expression for the total mass which implies that the nonlocalizable 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:

Classical and Quantum Gravity
 Pub Date:
 December 2007
 DOI:
 10.1088/02649381/24/23/019
 arXiv:
 arXiv:0708.2037
 Bibcode:
 2007CQGra..24.5999C
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 7 pages, no figures