During our further research on gravity models with non-linear symmetry realization we found out that in our paper entitled “Inflationary Solutions in the Simplest Gravity Model with Conformal Symmetry” there was a small mistake. Fortunately it does not influence the general result.

So, the stress-energy tensor for the considered model leads to equations:

$$\begin{gathered} - 3\frac{{\ddot {a}}}{a} = 5k(4{{f}_{1}}{{{\dot {\psi }}}^{2}} + {{f}_{2}}{{{\dot {\sigma }}}^{2}} + {{f}_{3}}{{{\dot {\sigma }}}_{{\left( \alpha \right)}}}{{\sigma }^{{\left( \alpha \right)}}}), \\ 2{{{\dot {a}}}^{2}} + a\ddot {a} = 0 \\ \end{gathered} $$
(1)

except written in the paper after Eq (3). Therefore, the analysis becomes simpler, and the absence of inflation directly follows from (1):

$$\ddot {a} = - 2\frac{{{{{\dot {a}}}^{2}}}}{a} < 0.$$

Thus, our conclusion about the absence of inflation confirms.