A method is investigated which enables exact solutions to be found for k=0 Friedmann cosmological models with a perfect fluid satisfying the equation of states p=({γ}-1){ρ}, where {γ} is constant and 0{≤}{γ}{≤}2, in scalar-tensor gravity theories with an arbitrary form for the gravitational coupling function {ω}({φ}), which defines the theory. A number of explicit solutions are investigated for p=0 universes and inflationary universes, including those for theories in which {ω}({φ}) has a power-law dependence on the scalar field {φ}. When p=-{ρ} new varieties of inflation arise in which a(t){∝}tⁿexp(H₀{t}ᵐ$).
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Barrow et al. (1994) studied this question.
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