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Signatures of f(Q) gravity in cosmology

N. Frusciante

Abstract
We investigate the impact on cosmological observables of f(Q)-gravity, a specific class of modified gravity models in which gravity is described by the nonmetricity scalar, Q. In particular we focus on a specific model which is indistinguishable from the Λ-cold-dark-matter (ΛCDM) model at the background level, while showing peculiar and measurable signatures at linear perturbation level. These are attributed to a time-dependent Planck mass and are regulated by a single dimensionless parameter, α . In comparison to the ΛCDM model, we find for positive values of α a suppressed matter power spectrum and lensing effect on the cosmic microwave background radiation (CMB) angular power spectrum and an enhanced integrated-Sachs-Wolfe tail of CMB temperature anisotropies. The opposite behaviors are present when the α parameter is negative. We also investigate the modified gravitational waves (GWs) propagation and show the prediction of the GWs luminosity distance compared to the standard electromagnetic one. Finally, we infer the accuracy on the free parameter of the model with standard sirens at future GWs detectors.

Keywords
Astrophysics - Cosmology and Nongalactic Astrophysics; General Relativity and Quantum Cosmology

Physical Review D
Volume 103, Issue 0440, Page 8
2021 February

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Instituto de Astrofísica e Ciências do Espaço Universidade do Porto Faculdade de Ciências da Universidade de Lisboa
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia