论文标题

古典和量子(2+1) - 维空间均匀的弦宇宙学

Classical and quantum (2+1)-dimensional spatially homogeneous string cosmology

论文作者

Naderi, F., Rezaei-Aghdam, A.

论文摘要

我们将三个经典和量子解决方案的家族介绍给针对空间均匀$(2+1)$ - 维度空间时间的领先顺序,并具有由Dilaton,反对称量规$ b $ field和中央电荷赤字和中央费用赤字$λ$的来源提供的来源。在量子水平上,考虑到经典条件对称方程的量子版本,惠勒 - 戴维特方程的溶液已丰富。关于获得的溶液的可能应用,已经对Bohm力学的半经典分析进行了证明,以证明避免量子水平上经典的奇异性的可能性。

We introduce three families of classical and quantum solutions to the leading order of string effective action on spatially homogeneous $(2+1)$-dimensional space-times 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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