Noether Symmetry Approach in "Cosmic Triad" Vector Field Scenario

Understand

To realize the accelerations in the early and late periods of our universe, we need to specify potentials for the dominant fields.

• In this paper, by using the Noether symmetry approach, we try to find suitable potentials in the "cosmic triad" vector field scenario.
• Because the equation of state parameter of dark energy has been constrained in the range of $-1.21\leq \omega\leq -0.89$ by observations, we derive the Noether conditions for the vector field in quintessence, phantom and quintom models, respectively.
• In the first two cases, constant potential solutions have been obtained.