Dynamics of tachyon field with an inverse square potential in loop quantum cosmology

Abstract

The dynamical behavior of tachyon field with an inverse potential is investigated in loop quantum cosmology. It reveals that the late time behavior of tachyon field with this potential leads to a power-law expansion. In addition, an additional barotropic perfect fluid with the adiabatic index $0<\gamma <2$ is added, and the dynamical system is shown to be an autonomous one. The stability of this autonomous system is discussed using phase plane analysis. There exist up to five fixed points with only two of them possibly stable. The two stable node (attractor) solutions are specified, and their cosmological indications are discussed. For the tachyon dominated solution, the further discussion is stretched to the possibility of considering tachyon field as a combination of two parts which respectively behave like dark matter and dark energy.

7 pages, 3 figures, conference or other essential info

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• Loop Quantum Cosmology: A Status Report
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Cited by in corpus (4)

• Dynamical system analysis of dark energy models in scalar coupled metric-torsion theories
• Consistency of the tachyon warm inflationary universe models
• A study of interacting scalar field model from the perspective of the dynamical systems theory
• Phenomenology analysis of duration inflation for Tachyon field in loop quantum cosmology