Homogeneous and isotropic cosmology in general teleparallel gravity

Lavinia Heisenberg; Manuel Hohmann; Simon Kuhn

doi:10.1140/epjc/s10052-023-11462-6

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 315
https://doi.org/10.1140/epjc/s10052-023-11462-6

Regular Article - Theoretical Physics

Homogeneous and isotropic cosmology in general teleparallel gravity

Lavinia Heisenberg¹^,2^,3, Manuel Hohmann⁴^b and Simon Kuhn²^,3

¹ Institut für Theoretische Physik, Philosophenweg 16, 69120, Heidelberg, Germany
² Institute for Theoretical Physics, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093, Zurich, Switzerland
³ Perimeter Institute, 31 Caroline Street N, Waterloo, ON, Canada
⁴ Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411, Tartu, Estonia

^b manuel.hohmann@ut.ee

Received: 23 January 2023
Accepted: 31 March 2023
Published online: 21 April 2023

Abstract

We derive the most general homogeneous and isotropic teleparallel geometries, defined by a metric and a flat, affine connection. We find that there are five branches of connection solutions, which are connected via several limits, and can further be restricted to the torsion-free and metric-compatible cases. We apply our results to several classes of general teleparallel gravity theories and derive their cosmological dynamics for all five branches. Our results show that for large subclasses of these theories the dynamics reduce to that of closely related metric or symmetric teleparallel gravity theories, while for other subclasses up to two new scalar degrees of freedom participate in the cosmological dynamics.

© The Author(s) 2023

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