Eur. Phys. J. C (2005) 42: 349-354
https://doi.org/10.1140/epjc/s2005-02295-8

Theoretical Physics

Extra force and extra mass from non-compact Kaluza-Klein theory in a cosmological model

¹ Instituto de Física y Matemáticas, AP: 2-82, (58040) Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán, México
² Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata and Consejo Nacional de Ciencia y Tecnología (CONICET), Funes 3350, (7600) Mar del Plata, Argentina

^* e-mail: edgar@itzel.ifm.umich.mx

Abstract

Using the Hamilton-Jacobi formalism, we study extra force and extra mass in a recently introduced non-compact Kaluza-Klein cosmological model. We examine the inertial 4D mass m ₀ of the inflaton field on a 4D FRW bulk in two examples. We find that m ₀ has a geometrical origin and antigravitational effects on a non-inertial 4D bulk should be a consequence of the motion of the fifth coordinate with respect to the 4D bulk.