GLOBAL MONOPOLE IN KALUZA-KLEIN SPACETIME

Citation
A. Banerjee et al., GLOBAL MONOPOLE IN KALUZA-KLEIN SPACETIME, Classical and quantum gravity, 13(12), 1996, pp. 3141-3149
Citations number
10
Categorie Soggetti
Physics
ISSN journal
02649381
Volume
13
Issue
12
Year of publication
1996
Pages
3141 - 3149
Database
ISI
SICI code
0264-9381(1996)13:12<3141:GMIKS>2.0.ZU;2-5
Abstract
A class of static solution around a global monopole resulting from the breaking of a global SO(3) symmetry is obtained in a five-dimensional spacetime, whose three-dimensional usual space section is spherically symmetric. Depending on the choice of the arbitrary constants, the so lutions may be shown to interpolate between a five-dimensional Schwarz schild-like solution with a singularity at the origin and a nonsingula r solution representing a soliton. However, this nonsingular behaviour breaks down when viewed from an effective four-dimensional formalism. Analysis of null and time-like orbits in our spacetime reveals the ex istence of the trapping surfaces as well as repulsive barriers. This p aper extends earlier work of Barriola and Vilenkin to its five-dimensi onal analogue and also a five-dimensional vacuum metric of Gross and F erry through the inclusion of an external scalar field.