Eur. Phys. J. C (2019) 79: 5
https://doi.org/10.1140/epjc/s10052-018-6526-1

Regular Article - Theoretical Physics

Inflationary expansion of the universe with variable timescale

¹ Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, C.P. 7600, Mar del Plata, Argentina
² Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata, Argentina

^* e-mail: mbellini@mdp.edu.ar

Received: 27 September 2018
Accepted: 19 December 2018
Published online: 3 January 2019

Abstract

We explore a cosmological model in which the time scale is variable with the expansion of the universe and the effective spacetime is driven by the inflaton field. An example is considered and their predictions are contrasted between Planck 2018 data. We calculate the spectrum indices and the slow-rolling parameters of the effective potential. The results are in very good agreement with observations.