Teleparallel Gravity: From Theory to Cosmology

• DOI: 10.48550/arxiv.2106.13793
• Publication Date: 2021-01-01
• Authors: Sebastián Bahamonde; Konstantinos F. D...; Celia Escamilla‐R...; Gabriel Farrugia; Viktor Gakis; M. Hendry; Manuel Hohmann; Jackson Levi Said; Jurgen Mifsud; Eleonora Di Valen...
• Keywords: Cosmology and Nongalactic Astrophysics (astro-ph.CO); Quantum gravity; FOS: Physical sciences; Gauge fields (Physics); General Relativity and Quantum Cosmology (gr-qc); 01 natural sciences; General Relativity and Quantum Cosmology; Cosmology; Mathematical physics; 0103 physical sciences; Gravitation; General relativity (Physics) -- Mathematical models; Astrophysics - Cosmology and Nongalactic Astrophysics

Teleparallel gravity has significantly increased in popularity recent decades, bringing attention to Einstein's other theory of gravity. In this Review, we relate form geometry the broader metric-affine approach forming gravitational theories where describe a systematic way constructing consistent teleparallel that respect certain physical conditions such as local Lorentz invariance. We first use formulate equivalent general relativity which is dynamically but may have different behaviors for scenarios, quantum After setting foundation, plethora modified been proposed literature. second part survey works astrophysics literature focus on open questions regime physics. then discuss cosmological consequences various formulations do at background level by exploring using approaches ranging from dynamical systems Noether symmetries, and more. Naturally, perturbation theory, firstly giving concise can be applied apply it number important Finally, examine observational precision cosmology across proposal theories. This done some latest observations used tackle tensions alleviated cosmology. also introduce application machine learning gravity, through deep Gaussian processes, together with discussions about