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Mapping Poincaré gauge cosmology to Horndeski theory for emergent dark energy

2020/06/30 by W. E. V. Barker, Will Barker, A. N. Lasenby +4 · 14 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #Gauge theory #General relativity #Mathematical physics #Physics #Quantum mechanics #Theoretical physics #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.102.084002

published in Physical review. D/Physical review. D. 102(8) (American Physical Society) · 11 pages, 2 figures. Results previously presented at DAMTP on 14/02/20. Added substantial introduction to Poincaré gauge theory and its perturbative renormalisability. Added various references. Incorporated supplemental material into main text (previously hosted on GitHub). Titular change. Results unaffected. Accepted for publication by Phys. Rev. D

openalex created_date 2020/06/12 · arxiv created 2020/09/07 · openalex publication_date 2020/10/01 · arxiv updated 2020/10/07 · openalex updated_date 2026/08/05

Abstract

The ten-parameter, quadratic Poincar'e gauge theory of gravity is a plausible alternative to general relativity. We show that the rich background cosmology of the gauge theory is described by a noncanonical biscalar-tensor theory in the Jordan frame: the metrical analogue. This provides a unified framework for future investigation by the broader community. For many parameter choices, the noncanonical term reduces to a Cuscuton field of the form √|X^\ensuremathφ\ensuremathφ|. The Einstein--Cartan--Kibble--Sciama theory maps to a pure quadratic cuscuton, whereas the teleparallel theory maps to the Einstein--Hilbert Lagrangian. We apply the metrical analogue to novel unitary and power-counting-renormalizable cases of Poincar'e gauge theory. These theories support the concordance \mathrm\ensuremathΛCDM background cosmology up to an optional, effective dark radiation component, we explain this behavior in terms of a stalled cuscuton. We also obtain two dark energy solutions from one of these cases: accelerated expansion from a negative bare cosmological constant whose magnitude is screened, and emergent dark energy to replace vanishing bare cosmological constant in \mathrm\ensuremathΛCDM.

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