Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagnostic of $f(R)$ under the $Om(z)$ function   We perform the two$-$point diagnostic for the $Om(z)$ function proposed by
Sahni ${\it et al}$ in 2014 for the Starobinsky and Hu & Sawicki models in
$f(R)$ gravity. We show that the observed values of the $Omh^2$ function can be
explained in $f(R)$ models while in LCDM the $Omh^2$ funticon is expected to be
a redshift independent number. We perform the analysis for some particular
values of $\Omega_m^0$ founding a cumulative probability ($P(\chi^2 \leq
\chi^2_{{\it model}})$) $P \sim 0.16$ or $\sim0.09$ for the better cases versus
a cumulative probability of $P \sim 0.98$ in the $\Lambda$CDM scenario. We also
show that these models present a characteristic signature around the interval
between $z\sim 2$ and $z\sim 4$, that could be confronted with future
observations using the same test.

7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an