Eur. Phys. J. C (2017) 77: 628
https://doi.org/10.1140/epjc/s10052-017-5210-1

Regular Article - Theoretical Physics

Nonlocal teleparallel cosmology

¹ Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
² Dipartimento di Fisica “E. Pancini”, Universitá di Napoli “Federico II”, Naples, Italy
³ Gran Sasso Science Institute, Via F. Crispi 7, 67100, L’Aquila, Italy
⁴ INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Naples, Italy
⁵ Irving K. Barber School of Arts and Sciences, University of British Columbia - Okanagan, 3333 University Way, Kelowna, BC, V1V 1V7, Canada
⁶ Department of Physics and Astronomy, University of Lethbridge, Lethbridge, AB, T1K 3M4, Canada
⁷ Departamento de Física, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, 36036-330, Brazil

^* e-mail: sebastian.beltran.14@ucl.ac.uk

Received: 19 August 2017
Accepted: 6 September 2017
Published online: 20 September 2017

Abstract

Even though it is not possible to differentiate general relativity from teleparallel gravity using classical experiments, it could be possible to discriminate between them by quantum gravitational effects. These effects have motivated the introduction of nonlocal deformations of general relativity, and similar effects are also expected to occur in teleparallel gravity. Here, we study nonlocal deformations of teleparallel gravity along with its cosmological solutions. We observe that nonlocal teleparallel gravity (like nonlocal general relativity) is consistent with the present cosmological data obtained by SNe Ia + BAO + CC + observations. Along this track, future experiments probing nonlocal effects could be used to test whether general relativity or teleparallel gravity gives the most consistent picture of gravitational interaction.