Initial singularity free quantum cosmology in two-dimensional Brans-Dicke theory

초록

We consider two-dimensional Brans-Dicke theory to study the initial singularity 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 universe starts with the finite curvature scalar and evolves into flat spacetime. Furthermore the divergent gravitational coupling at initial time can be finite effectively with the help of quantum correction. The other type of universe is studied for the case of 0<omega<1. [S0556-2821(98)02218-8].

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