Noether Symmetry Approach for Dirac-Born-Infeld Cosmology

Abstract

We consider the Noether Symmetry Approach for a cosmological model derived from a tachyon scalar field $T$ with a Dirac-Born-Infeld Lagrangian and a potential $V(T)$. Furthermore, we assume a coupled canonical scalar field $\varphi$ with an arbitrary interaction potential $B(T,\varphi )$. Exact solutions are derived consistent with the accelerated behavior of cosmic fluid.

arXiv comment7 pages

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• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
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• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• FRW string cosmological solutions via Hojman symmetry
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach
• Born - Infeld-type modified gravity
• Eddington-inspired-Born-Infeld tensorial instabilities neutralized in a quantum approach