Modelling Tachyon Cosmology with Non-Minimal Derivative Coupling to Gravity

Abstract

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. The effective energy density and pressure of the tachyon field are obtained, and the necessary condition of the possibility for this model to expand with acceleration is derived.

7 pages

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Cited by in corpus (5)

• Cosmology with non-minimal derivative couplings: perturbation analysis and observational constraints
• Hamilton-Jacobi formalism for inflation with non-minimal derivative coupling
• Cosmological models in modified gravity theories with extended nonminimal derivative couplings
• Tachyonic cosmology with cubic contractions of the Riemann tensor
• Cosmological Model of Interacting Tachyon Field