Modelling Tachyon Cosmology with Non-Minimal Derivative Coupling to Gravity

Understand

We study a tachyon model with non-minimal derivative coupling to gravity in the Friedmann-Robertson-Walker flat cosmology.

• We propose the special re-definition of the tachyon field which allows us to represent tachyon field equation formally coinciding with its usual form but with re-defined Hubble parameter.
• Two first integrals for the model equations are obtained that can essentially simplify both further analysis and analytical solving for the model.
• These integrals become the trivial identities in the case of minimal coupling.