S. R. Pinto, A. M. Cabral, C. J. A. P. Martins
Abstract
We use low-redshift background cosmology data to place quantitative constraints on three separate modified gravity models, each of which aims to explain the low-redshift acceleration through a different physical mechanism. The Lifshitz cosmology is effectively a parametric extension of the canonical ΛCDM model, where a time-dependent cosmological constant originates from vacuum energy. The infinite statistics model is also a parametric extension of ΛCDM, where the dark energy is dynamic and originates from the curvature of a dual space-time. We show that the data restrict the additional parameters in these models to be consistent with their ΛCDM values, and in particular that the data imply that the theoretically predicted value for a dimensionless coupling parameter in the Lifshitz model is ruled out at more than 6 standard deviations. In the Regge-Teitelboim model, gravity is described by embedding the usual space-time manifold in a fixed higher-dimensional background, and there is no parametric ΛCDM limit. We study several separate realizations of the model, respectively introduced by Davidson, by Fabi et al., and by Stern and Xu, and show that the first two are ruled out by the low-redshift data we use, while the latter is consistent with these data but requires a nonstandard value of the matter density. Overall, our analysis highlights the tight constraints imposed by current data on the allowed low-redshift deviations from the standard ΛCDM background evolution.
Keywords
Astrophysics - Cosmology and Nongalactic Astrophysics; General Relativity and Quantum Cosmology; High Energy Physics - Phenomenology
Physical Review D
Volume 107, Issue 8
2023 April
