Exact and asymptotic solutions to tensor-scalar cosmologies Original Research Article

In the tensor-scalar theory of gravity, we give a number of explicit solutions and examine analytically their asymptotic behavior. We consider homogeneous cosmologies with perfect fluid matter distribution satisfying the equation of state p = λ ϱ where λ is a constant −1 ⩽ λ ⩽ 1. The convergence of our theory to general relativity is considered to be “good” if the scalar field φ = const. is an attractor of the equations of motion. When p = −ϱ new varieties of inflation arise in which the scale factor a(t) ∞ tαexp(K · tβ.