Phantom Behavior Bounce with Tachyon and Non-minimal Derivative Coupling

TL;DR

This paper explores a scalar field model with tachyon and non-minimal derivative coupling that can produce bouncing cosmological solutions, potentially addressing the singularity problem, and analyzes its stability.

Contribution

It introduces a novel single scalar field model with tachyon and non-minimal derivative coupling capable of generating bouncing cosmology solutions.

Findings

Bouncing solutions appear in tachyon-dominated universe crossing the phantom divide.

The model exhibits classical stability under homogeneous perturbations.

Numerical analysis confirms the viability of the bouncing behavior.

Abstract

The bouncing cosmology provides a successful solution of the cosmological singularity problem. In this paper, we study the bouncing behavior of a single scalar field model with tachyon field non-minimally coupled to itself, its derivative and to the curvature. By utilizing the numerical calculations we will show that the bouncing solution can appear in the universe dominated by such a quintom matter with equation of state crossing the phantom divide line. We also investigate the classical stability of our model using the phase velocity of the homogeneous perturbations of the tachyon scalar field.