On Nash theory of gravity with matter contents

Although it was proved that the Nash theory doesn't have classical Einstein limits, has been proven to be formally divergent free and considered of interest in constructing theories quantum gravity. The original gravity without matter contents can't explain current accelerated expansion Universe. A possible extension is by adding some model. In this work, we generalize fields. order examine effects generalization, first derive equations motion flat FLRW spacetime behaviors solutions invoking specific forms Hubble parameter. We also classify physical employing stability analysis check consistency model considering particular cosmological parameters.