Nonlocal Teleparallel Cosmology

TL;DR

This paper explores nonlocal modifications of Teleparallel Gravity and demonstrates their consistency with current cosmological data, suggesting future experiments could distinguish between these theories and General Relativity.

Contribution

It introduces and analyzes nonlocal deformations of Teleparallel Gravity and assesses their compatibility with observational cosmological data.

Findings

Nonlocal Teleparallel Gravity aligns with current cosmological observations.

Future experiments could test nonlocal effects to differentiate gravitational theories.

Nonlocal modifications are a viable extension of Teleparallel Gravity.

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 + $H_0$ observations. Along this track, future experiments probing nonlocal effects could be used to test whether General Relativity or Teleparallel Gravity give the most consistent picture of gravitational interaction.