Minimally Modified Gravity fitting Planck data better than $Lambda$CDM. (arXiv:2005.13972v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Aoki_K/0/1/0/all/0/1">Katsuki Aoki</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Felice_A/0/1/0/all/0/1">Antonio De Felice</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Mukohyama_S/0/1/0/all/0/1">Shinji Mukohyama</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Noui_K/0/1/0/all/0/1">Karim Noui</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Oliosi_M/0/1/0/all/0/1">Michele Oliosi</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Pookkillath_M/0/1/0/all/0/1">Masroor C. Pookkillath</a>

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,
$zsimeq743$.

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,
$zsimeq743$.

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