Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity

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.

30 pages; v2: expanded discussion of the modified flat model regarding H_0 tension; v3: treatment expanded, presentation improved

References in corpus (27)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Modified teleparallel gravity: inflation without inflaton
• Challenges for $\Lambda$CDM: An update
• KiDS-1000 Cosmology: Cosmic shear constraints and comparison between two point statistics
• Cosmic Distances Calibrated to 1% Precision with Gaia EDR3 Parallaxes and Hubble Space Telescope Photometry of 75 Milky Way Cepheids Confirm Tension with LambdaCDM
• The teleparallel equivalent of general relativity
• Teleparallel Gravity: From Theory to Cosmology
• Baryon acoustic oscillations from the complete SDSS-III Ly$\alpha$-quasar cross-correlation function at $z=2.4$
• Comparing Equivalent Gravities: common features and differences
• Nonlocal Gravity Simulates Dark Matter
• A formal framework for a nonlocal generalization of Einstein's theory of gravitation
• Modified gravity: a unified approach
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
• Cosmographic view on the $H_0$ and ${\sigma }_8$ tensions
• $H_0$ Tension in Torsion-based Modified Gravity
• Constitutive law of nonlocal gravity
• Characteristics of Effective Dark Matter in Nonlocal Gravity
• Addressing Cosmological Tensions by Non-Local Gravity
• Gravitomagnetic Helicity
• Apparent dark matter as a non-local manifestation of emergent gravity
• Dynamical Friction in Nonlocal Gravity
• Dynamic Dark Energy from the Local Limit of Nonlocal Gravity
• Is the principle of least action a must?
• Anisotropic Cosmology in the Local Limit of Nonlocal Gravity

Cited by in corpus (2)

• Local Limit of Nonlocal Gravity: Cosmological Perturbations
• Gödel's Universe and the Local Limit of Nonlocal Gravity