Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
Preprint
Abstract
We describe a general constitutive framework for a teleparallel extension of the general theory of relativity. This approach goes beyond the teleparallel equivalent of general relativity (TEGR) by broadening the analogy with the electrodynamics of media. In particular, the main purpose of this paper is to investigate in detail a local constitutive extension of TEGR that is the local limit of nonlocal gravity (NLG). Within this framework, we study the modified FLRW cosmological models. Of these, the most cogent turns out to be the modified Cartesian flat model which is shown to be inconsistent with the existence of a positive cosmological constant. Moreover, dynamic dark energy and other components of the modified Cartesian flat model evolve differently with the expansion of the universe as compared to the standard flat cosmological model. The observational consequences of the modified Cartesian flat model are briefly explored and it is shown that the model is capable of resolving the H_0 tension.Keywords
All Related Versions
This publication has 68 references indexed in Scilit:
- Decaying Dark Matter and the Hubble Tension2024
- H0 tension in torsion-based modified gravityNuclear Physics B, 2023
- Apparent dark matter as a non-local manifestation of emergent gravityPhysics of the Dark Universe, 2023
- Induced non-local cosmologyPhysics of the Dark Universe, 2023
- Is the principle of least action a must?Nuclear Physics B, 2015
- The teleparallel equivalent of general relativityAnnalen der Physik, 2013
- Unified cosmic history in modified gravity: From theory to Lorentz non-invariant modelsPhysics Reports, 2011
- Nonlocal gravity simulates dark matterPhysics Letters B, 2009
- Nonlocal special relativityAnnalen der Physik, 2008
- PArthENoPE: Public algorithm evaluating the nucleosynthesis of primordial elementsComputer Physics Communications, 2008