Wt. Kim et Ms. Yoon, GRACEFUL EXIT PROBLEM AND STRESS-ENERGY-MOMENTUM TENSORS REVISITED INTHE 2-DIMENSIONAL STRING COSMOLOGY, Physics letters. Section B, 423(3-4), 1998, pp. 231-237
We study the graceful exit problem and the role of the stress-energy-m
omentum tensors in the two-dimensional string cosmology. The one-loop
quantum correction of conformal fields is incorporated in the arbitrar
y large N limit to ensure exact quantum solvability. The only solution
which gives the bounded curvature with the asymptotic flatness is res
tricted to the first branch under some conditions. However, even in th
is case, the accelerating expansion is forever. We show that the only
nonvanishing quantum stress-momentum tensor is the pressure part (T-xx
) which is of relevance to the dynamical evolution of the universe in
the comoving coordinate. The quantum energy part is zero since the neg
ative contribution of the induced conformal matters always cancels the
positive quantity of the induced dilaton part in terms of the constra
int equations. (C) 1998 Published by Elsevier Science B.V.