Listening to Celestial Algebras

Jiménez, Jose Beltrán; Koivisto, Tomi S.

doi:10.3390/universe8080407

Cited by 2 publications

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“…However, the cosmological symmetries can also be non-trivially realised with interesting phenomenological consequences (see e.g. [80][81][82][83][84][85][86]). The non-trivial realisations consist in using some internal symmetries (global or gauge) so that, despite having background fields that break some of the spatial rotations and/or translations, the presence of the internal symmetries allows for the existence of unbroken generators that permit to realise the cosmological symmetries.…”

Section: Jcap12(2023)010 3 Homogeneous and Isotropic Parallelismmentioning

confidence: 99%

General parallel cosmology

Aguiar Gomes,

Beltrán Jiménez,

Koivisto

2023

J. Cosmol. Astropart. Phys.

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General (tele)parallel Relativity, G∥R, is the relativistic completion of Einstein's theories of gravity. The focus of this article is the derivation of the homogeneous and isotropic solution in G∥R. The first-principles derivation, based on a non-trivial realisation of the symmetry, supersedes and unifies previous constructions of Riemannian and teleparallel cosmologies, and establishes the uniqueness of the physical solution. The constitutive law and the form of the material and inertial source currents is presented in the tensor (Palatini) formalism and adapted to the cosmological background, which exhibits novel features absent in the previously studied, static solutions to the theory. The results are contrasted with those in incomplete theories, such as sitting at the three corners of the geometrical trinity which correspond to particular reference frames in G∥R.

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