Abstract
In this work we analysed some cosmological bounds concerning an open FLRW solution of massive gravity. The constraints from recent observational H(z) data are found and the best fit values for the cosmological parameters are in agreement with the ΛCDM model, and also point to a nearly open spatial curvature, as expected from the model. The graviton mass dependence with the constant parameters α3 and α4, related to the additional lagrangians terms of the model, are also analysed, and we obtain a strong dependence on such parameters, although the condition m_g≃ H_0(-1) seems dominant for a large range of the parameters α3 and α4.