Reconstructing exact scalar-tensor cosmologies via conformal transformations

We propose a new reconstruction method for scalar-tensor gravity based on the use of conformal transformations. The new method allows the derivation of a set of interesting exact cosmological solutions in Brans-Dicke gravity as well as other extensions of general relativity.

Figure 1

An example of the behavior of the scale factor obtained in Example 2.

Figure 2

An example of the behavior of the scale factor obtained with the function ${\omega }_2$ in Sec. 5a.