Absence of the Higuchi bound in a family of alternative linear massive spin-2 models

There is a well known result from the Fierz-Pauli (FP) theory in de Sitter background that existence of lower bound for mass $m$ spin 2 particle, Higuchi bound. It establishes $m^2\geq 2H^2$, where $H$ Hubble parameter, order to presents no ghost-like instabilities. In this sense, should be unacceptable high fulfill condition at time inflationary epoch Universe, posing difficulty conciliate FP with cosmology. letter we show can circumvented an alternative description massive spin-2 particles as $\mathcal{L}(a_1)$ models. maximally symmetric spaces has two free parameters which consistently chosen make model absent $m$. Then, arbitrarily smaller than energy scale inflation avoiding instabilities time.