Wt. Kim et Ms. Yoon, INITIAL SINGULARITY-FREE QUANTUM COSMOLOGY IN 2-DIMENSIONAL BRANS-DICKE THEORY - ART. NO. 084014, Physical review. D. Particles and fields, 5808(8), 1998, pp. 4014
We consider two-dimensional Brans-Dicke theory to study the initial si
ngularity problem. It turns out that the initial curvature singularity
can be finite for a certain Brans-Dicke constant omega by considering
the quantum back reaction of the geometry. For omega = 1, the univers
e starts with the finite curvature scalar and evolves into flat spacet
ime. Furthermore the divergent gravitational coupling at initial time
can be finite effectively with the help of quantum correction. The oth
er type of universe is studied for the case of 0<omega<1. [S0556-2821(
98)02218-8].