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We investigate the possibility of the inflation driven by a Lorentz invariantnon-standard spinor field. As these spinors are having dominant interaction viagravitational field only, they are considered as \emph{Dark Spinors}. We studyhow these dark-spinors can drive the inflation and investigate the cosmological(scalar) perturbations generated by them. Though the dark-spinors obey aKlein-Gordon like equation, the underlying theory of the cosmologicalperturbations is far more complex than the theories which are using a canonicalscalar field. For example the sound speed of the perturbations is not aconstant but varies with time. We find that in order to explain the observedvalue of the spectral-index $n_s$ one must have upper bound on the values ofthe background NSS-field. The tensor to scalar ratio remains as small as thatin the case of canonical scalar field driven inflation because the correctionto tensor spectrum due to NSS is required to be very small. In addition wediscuss the relationship of results with previous results obtained by using theLorentz invariance violating theories.

Lorentz invariant dark-spinor and inflation