TY - JOUR
T1 - Extended inflationary universes
AU - Barrow, John D.
AU - Maeda, Kei ichi
N1 - Funding Information:
K.M. is grateful to Professor R.J. Tayler for the hospitality at the Astronomy Centre, University of Sussex, Brighton, UK. Also, thanks are due to the SERC, who supported his stay in Sussex, where much of this work was carried out. K.M. also acknowledges A.L. Berkin for useful discussions. J.D.B. thanks E. Kolb for discussions. This work was partially supported by the Grant-in-Aid for Scientific Research Fund of the Ministry of Education, Science and Culture No. 6340205.
PY - 1990/9/3
Y1 - 1990/9/3
N2 - We investigate the behavior of isotropic models in the general scalar-tensor theory of gravitation. We derive the criterion for inflation to occur in a range of such theories, including that of Brans and Dicke. The solutions used to model "extended" inflation in earlier investigations are shown to be special cases which do not follow the behaviour of the general Brans-Dicke model at early times. The conformal relationship between scalar-tensor theories and general relativity with a self-interacting scalar field is explored and used to find members of a new class of inflationary universes. These "intermediate" inflationary universes have expansion scale factors which increase as exp(tp), 0 < p < 1. The possibility of successfully of realizing the ◀old" inflationary universe scenario in these models, with the present time variation of the gravitation "constant" being acceptably small, is illustrated with a specific example.
AB - We investigate the behavior of isotropic models in the general scalar-tensor theory of gravitation. We derive the criterion for inflation to occur in a range of such theories, including that of Brans and Dicke. The solutions used to model "extended" inflation in earlier investigations are shown to be special cases which do not follow the behaviour of the general Brans-Dicke model at early times. The conformal relationship between scalar-tensor theories and general relativity with a self-interacting scalar field is explored and used to find members of a new class of inflationary universes. These "intermediate" inflationary universes have expansion scale factors which increase as exp(tp), 0 < p < 1. The possibility of successfully of realizing the ◀old" inflationary universe scenario in these models, with the present time variation of the gravitation "constant" being acceptably small, is illustrated with a specific example.
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U2 - 10.1016/0550-3213(90)90272-F
DO - 10.1016/0550-3213(90)90272-F
M3 - Article
AN - SCOPUS:0001035131
SN - 0550-3213
VL - 341
SP - 294
EP - 308
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1
ER -