Bouncing cosmology in f(Q) symmetric teleparallel gravity

Francesco Bajardi; Daniele Vernieri; Salvatore Capozziello

doi:10.1140/epjp/s13360-020-00918-3

EPJ

Bouncing cosmology in f(Q) symmetric teleparallel gravity

Francesco Bajardi¹^,2, Daniele Vernieri¹^,2 and Salvatore Capozziello¹^,2^,3^,4^*

¹ Department of Physics “E. Pancini”, University of Naples “Federico II”, Naples, Italy
² INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Naples, Italy
³ Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Naples, Italy
⁴ Tomsk State Pedagogical University, ul. Kievskaya, 60, Tomsk, Russia 634061,

Received: 23 October 2020
Accepted: 4 November 2020
Published online: 17 November 2020

Abstract

We consider f(Q) extended symmetric teleparallel cosmologies, where Q is the non-metricity scalar, and constrain its functional form through the order reduction method. By using this technique, we are able to reduce and integrate the field equations and thus to select the corresponding models giving rise to bouncing cosmology. The selected Lagrangian is then used to develop the Hamiltonian formalism and to obtain the Wave Function of the Universe which suggests that classical observable universes can be recovered according to the Hartle Criterion.