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# Minimally modified gravity fitting Planck data better than $\Lambda$CDM

Abstract : We study the phenomenology of a class of minimally modified gravity theories called $f(\mathcal {H})$ theories, in which the usual general relativistic Hamiltonian constraint is replaced by a free function of it. After reviewing the construction of the theory and a consistent matter coupling, we analyze the dynamics of cosmology at the levels of both background and perturbations, and present a concrete example of the theory with a 3-parameter family of the function f. Finally, we compare this example model to Planck data as well as some later-time probes, showing that such a realization of $f(\mathcal {H})$ theories fits the data significantly better than the standard $\Lambda$CDM model, in particular by modifying gravity at intermediate redshifts, $z\simeq 743$.
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https://hal.archives-ouvertes.fr/hal-02870798
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Submitted on : Tuesday, June 16, 2020 - 10:11:38 PM
Last modification on : Friday, August 5, 2022 - 11:59:39 AM

### Citation

Katsuki Aoki, Antonio de Felice, Shinji Mukohyama, Karim Noui, Michele Oliosi, et al.. Minimally modified gravity fitting Planck data better than $\Lambda$CDM. Eur.Phys.J.C, 2020, 80 (8), pp.708. ⟨10.1140/epjc/s10052-020-8291-1⟩. ⟨hal-02870798⟩

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