A reconstruction method is derived that turns background expansion and linear perturbation data into full non-linear Lagrangians for quintessence, scalar-tensor, k-essence, and shift-symmetric cubic Galileon dark energy models.
Scaling Solutions and reconstruction of Scalar Field Potentials
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abstract
Starting from the hypothesis of scaling solutions, the general exact form of the scalar field potential is found. In the case of two fluids, it turns out to be a negative power of hyperbolic sine. In the case of three fluids the analytic form is not found, but is obtained by quadratures.
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Nonlinear reconstruction of general dark energy theories
A reconstruction method is derived that turns background expansion and linear perturbation data into full non-linear Lagrangians for quintessence, scalar-tensor, k-essence, and shift-symmetric cubic Galileon dark energy models.