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Noether symmetry approach for Dirac–Born–Infeld cosmology

Dipartimento di Fisica, Università di Napoli "Federico II", Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

INFN Sezione di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

Gran Sasso Science Institute (INFN), Via F. Crispi 7, I-67100, L' Aquila, Italy

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Mariafelicia De Laurentis

Tomsk State Pedagogical University, 634061 Tomsk, Russia

National Research Tomsk State University, 634050 Tomsk, Russia

Corresponding author.

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, and

Ratbay Myrzakulov

Eurasian International Center for Theoretical Physics and Department of General Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan

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https://doi.org/10.1142/S0219887815500656Cited by:12 (Source: Crossref)

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 ϕ with an arbitrary interaction potential B(T, ϕ). Exact solutions are derived consistent with the accelerated behavior of cosmic fluid.

Keywords:

PACS: 04.50.Kd, 98.80.-k, 95.35.+d, 95.36.+x

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