A. Billyard et al., Asymptotic behavior of cosmological models in scalar-tensor theories of gravity - art. no. 023507., PHYS REV D, 5902(2), 1999, pp. 3507
We study the qualitative properties of cosmological models in scalar-tensor
theories of gravity by exploiting the formal equivalence of these theories
with general relativity minimally coupled to a scalar field under a confor
mal transformation and field redefinition. In particular, we investigate th
e asymptotic behavior of spatially homogeneous cosmological models in a cla
ss of scalar-tensor theories which are conformally equivalent to general re
lativistic Bianchi cosmologies with a scalar field and an exponential poten
tial whose qualitative features have been studied previously. Particular at
tention is focused on those scalar-tensor theory cosmological models, which
are shown to be self-similar, that correspond to general relativistic mode
ls that play an important role in describing the asymptotic behavior of mor
e general models (e.g., those cosmological models that act as early-time an
d late-time attractors). [S0556-2821(98)03222-6].