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Abstract
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We introduce three families of classical and
quantum solutions to the leading order of string effective
action on spatially homogeneous (2+1)-dimensional spacetimes
with the sources given by the contributions of dilaton,
antisymmetric gauge B-field, and central charge deficit
term Λ. At the quantum level, solutions of Wheeler–DeWitt
equations have been enriched by considering the quantum
versions of the classical conditional symmetry equations.
Concerning the possible applications of the obtained solutions,
the semiclassical analysis of Bohm’s mechanics has
been performed to demonstrate the possibility of avoiding
the classical singularities at the quantum level.
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