Non--Localizability of Electric Coupling and Gravitational Binding of Charged Objects

Details Non--Localizability of Electric Coupling and Gravitational Binding of Charged Objects Non--Localizability of Electric Coupling and Gravitational Binding of Charged Objects

2007-08-15

arxiv.org/abs/0708.2037v2

Class.Quant.Grav.24:5999-6006,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figures

Scientific paper

10.1088/0264-9381/24/23/019

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 existence of the objects with pure Lorentz electromagnetic mass in general relativity.

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