Europhys. Lett.
Volume 66, Number 4, May 2004
Page(s) 478 - 484
Section The physics of elementary particles and fields
Published online 01 May 2004
Europhys. Lett., 66 (4) , pp. 478-484 (2004)
DOI: 10.1209/epl/i2004-10013-1

Gravitational trapping of matters in 6D and three fermion generations

P. Midodashvili

Department of Physics, Tskhinvali State University - 2 Besiki Str., Gori 383500, Georgia

(Received 15 January 2004; accepted 26 February 2004)

We present two new solutions to Einstein's equations in (1+5)-spacetime with positive bulk cosmological constant. For these solutions, it is shown that the zero modes of all local fields are localized at different points on the brane in the extra space only through the gravitational interaction. We also suggest a pure gravitational mechanism explaining the origin of three generations of the Standard Model fermions and explicitly show that localized fermions are stuck at different points on the brane in the extra space.

11.10.Kk - Field theories in dimensions other than four.
04.50.+h - Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories; alternative theories of gravity.
11.25.Mj - Compactification and four-dimensional models.

© EDP Sciences 2004