Eur. Phys. J. C (2014) 74: 3158
https://doi.org/10.1140/epjc/s10052-014-3158-y

Letter

Present accelerated expansion of the universe from new Weyl-integrable gravity approach

¹ Departamento de Matemáticas, Centro Universitario de Ciencias Exactas e ingenierías (CUCEI), Universidad de Guadalajara (UdG), Av. Revolución 1500, S.R. 44430, Guadalajara, Jalisco, Mexico
² Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata (UNMdP), Funes 3350, C.P. 7600, Mar del Plata, Argentina
³ Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), La Plata, Argentina

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

Received: 27 August 2014
Accepted: 26 October 2014
Published online: 11 November 2014

Abstract

We investigate if a recently introduced formulation of general relativity on a Weyl-integrable geometry contains cosmological solutions exhibiting acceleration in the present cosmic expansion. We derive the general conditions to have acceleration in the expansion of the universe and obtain a particular solution for the Weyl scalar field describing a cosmological model for the present time in concordance with the data combination Planck + WP + BAO + SN.