Unified dark sectors in scalar-torsion theories of gravity

Understand

We present a unified description of the matter and dark energy epochs, using a class of scalar-torsion theories.

• We provide a Hamiltonian description, and by applying Noether's theorem and by requiring the field equations to admit linear-in-momentum conservation laws we obtain two specific classes of scalar-field potentials.
• We extract analytic solutions and we perform a detailed dynamical analysis.
• We show that the system possesses critical points that correspond to scaling solutions in which the effective, total equation-of-state parameter is close to zero and points in which it is equal to the cosmological constant value $-1$.