Levi-Civita solutions coupled with electromagnetic fields

Citation
Ay. Miguelote et al., Levi-Civita solutions coupled with electromagnetic fields, CLASS QUANT, 18(21), 2001, pp. 4569-4588
Citations number
38
Categorie Soggetti
Physics
Journal title
CLASSICAL AND QUANTUM GRAVITY
ISSN journal
02649381 → ACNP
Volume
18
Issue
21
Year of publication
2001
Pages
4569 - 4588
Database
ISI
SICI code
0264-9381(20011107)18:21<4569:LSCWEF>2.0.ZU;2-T
Abstract
The local and global properties of the Levi-Civita (LC) solutions coupled w ith an electromagnetic field are studied and some limits to the vacuum LC s olutions are given, from which the physical and geometrical interpretations of the free parameters involved in the solutions are made clear. Sources f or both the LC vacuum solutions and the LC solutions coupled with an electr omagnetic field are studied, and in particular it is found that all the LC vacuum solutions with sigma greater than or equal to 0 can be produced by c ylindrically symmetric thin shells that satisfy all the energy conditions, weak, dominant and strong. When the electromagnetic field is present, the s ituation changes dramatically. In the case of a purely magnetic field, all the solutions can be produced by physically acceptable cylindrical thin she lls, while in the case of a purely electric field, no such shells are found for any choice of the free parameters involved in the solutions.