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Sebastián Bahamonde, Konstantinos F. Dialektopoulos, Celia Escamilla‐Rivera, Gabriel Farrugia, Viktor Gakis, M. Hendry, Manuel Hohmann, Jackson Levi Said, Jurgen Mifsud, Eleonora Di Valentino
Teleparallel gravity (TG) has significantly increased in popularity in recent decades, bringing attention to Einstein's other theory of gravity. In this Review, we give a comprehensive introduction to how teleparallel geometry is developed as a gauge theory of translations together with all the other properties of gauge field theory. This relates the geometry to the broader metric-affine approach to forming gravitational theories where we describe a systematic way of constructing consistent teleparallel theories that respect certain physical conditions such as local Lorentz invariance. We first use TG to formulate a teleparallel equivalent of general relativity (GR) which is dynamically equivalent to GR but which may have different behaviors for other scenarios, such as quantum gravity. After setting this foundation, we describe the plethora of modified teleparallel theories of gravity that have been proposed in the literature. We attempt to connect them together into general classes of covariant gravitational theories. Of particular interest, we highlight the recent proposal of a teleparallel analogue of Horndeski gravity which offers the possibility of reviving all of the regular Horndeski contributions. In the second part of the Review, we first survey works in teleparallel astrophysics literature where we focus on the open questions in this regime of physics. We then discuss the cosmological consequences for the various formulations of TG. We do this at background level by exploring works using various approaches ranging from dynamical systems to Noether symmetries, and more. Naturally, we then discuss perturbation theory, firstly by giving a concise approach in which this can be applied in TG theories and then apply it to a number of important theories in the literature. Finally, we examine works in observational and precision cosmology across the plethora of proposal theories. This is done using some of the latest observations and is used to tackle cosmological tensions which may be alleviated in teleparallel cosmology. We also introduce a number of recent works in the application of machine learning to gravity, we do this through deep learning and Gaussian processes, together with discussions about other approaches in the literature.
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Bahamonde, S., Dialektopoulos, K. F., Escamilla‐Rivera, C., Farrugia, G., Gakis, V., Hendry, M., Hohmann, M., Said, J. L., Mifsud, J., & Valentino, E. D. (2022). Teleparallel gravity: from theory to cosmology. Reports on Progress in Physics, 86(2), 026901. https://doi.org/10.1088/1361-6633/ac9cef
Bahamonde, Sebastián, et al. "Teleparallel gravity: from theory to cosmology." Reports on Progress in Physics, vol. 86, no. 2, 2022, pp. 026901, https://doi.org/10.1088/1361-6633/ac9cef.
Bahamonde, Sebastián, Konstantinos F. Dialektopoulos, Celia Escamilla‐Rivera, Gabriel Farrugia, Viktor Gakis, M. Hendry, Manuel Hohmann, Jackson Levi Said, Jurgen Mifsud, and Eleonora Di Valentino. "Teleparallel gravity: from theory to cosmology." Reports on Progress in Physics 86, no. 2 (2022): 026901. https://doi.org/10.1088/1361-6633/ac9cef.
Bahamonde S., Dialektopoulos K. F., Escamilla‐Rivera C. [и др.] Teleparallel gravity: from theory to cosmology // Reports on Progress in Physics. — 2022. — Vol. 86, № 2. — P. 026901. — URL: https://doi.org/10.1088/1361-6633/ac9cef
@article{bahamonde2022teleparallel,
title = {{Teleparallel gravity: from theory to cosmology}},
author = {Sebastián Bahamonde and Konstantinos F. Dialektopoulos and Celia Escamilla‐Rivera and Gabriel Farrugia and Viktor Gakis and M. Hendry and Manuel Hohmann and Jackson Levi Said and Jurgen Mifsud and Eleonora Di Valentino},
journal = {Reports on Progress in Physics},
year = {2022},
volume = {86},
number = {2},
pages = {026901},
doi = {10.1088/1361-6633/ac9cef},
url = {https://doi.org/10.1088/1361-6633/ac9cef}
}TY - JOUR AU - Bahamonde, Sebastián AU - Dialektopoulos, Konstantinos F. AU - Escamilla‐Rivera, Celia AU - Farrugia, Gabriel AU - Gakis, Viktor AU - Hendry, M. AU - Hohmann, Manuel AU - Said, Jackson Levi AU - Mifsud, Jurgen AU - Valentino, Eleonora Di TI - Teleparallel gravity: from theory to cosmology JO - Reports on Progress in Physics VL - 86 IS - 2 SP - 026901 PY - 2022 DA - 2022/10/24 DO - 10.1088/1361-6633/ac9cef UR - https://doi.org/10.1088/1361-6633/ac9cef ER -
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