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Physics NotePublished

Levi-Civita Solutions Coupled with Electromagnetic Fields

A.Y. Miguelote; M. F. A. Silva; Anzhong Wang; N. O. Santos

2000

Publication details

Authors
A.Y. Miguelote; M. F. A. Silva; Anzhong Wang; N. O. Santos
Type
Physics Note
Status
Published
Publication date
2000
Description
The local and global properties of the Levi-Civita (LC) solutions coupled with an electromagnetic field are studied and some limits to the vacuum LC solutions are given. By doing such limits, the number of physically independent parameters and their physical and geometrical interpretations are made clear. Sources for both the LC vacuum solutions and the LC solutions coupled with an electromagnetic field are studied, and in particular it is found that all the LC vacuum solutions with <math>\sigma \ge 0</math> can be produced by cylindrically symmetric thin shells that satisfy all the energy conditions, weak, dominant, and strong. When the electromagnetic field is present, the situation changes dramatically. In the case of a purely magnetic field, all the solutions with <math>\sigma \ge 1/\sqrt{8}</math> or <math>\sigma \le - 1/\sqrt{8}</math> can be produced by physically acceptable cylindrical thin shells, while in the case of a purely electric field, no such shells are found for any value of <math>\sigma</math>.
Year
2000
Number
CBPF-NF-074/00
Linked to a thesis
No
Linked to a grant
No
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