https://doi.org/10.1140/epjc/s10052-021-08836-z
Regular Article – Theoretical Physics
Classical and quantum 
-dimensional spatially homogeneous string cosmology
Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran
Received:
28
October
2020
Accepted:
29
December
2020
Published online:
13
January
2021
We introduce three families of classical and quantum solutions to the leading order of string effective action on spatially homogeneous -dimensional space-times with the sources given by the contributions of dilaton, antisymmetric gauge B-field, and central charge deficit term 
. 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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