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

Abstract

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 $\Lambda$. 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.

arXiv comment3 references added

References in corpus (21)

• String Theory Dynamics In Various Dimensions
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Elements of String Cosmology
• 2 + 1 dimensional gravity from Maxwell and semi-simple extension of the Poincare gauge symmetric models
• Anisotropic space-times in homogeneous string cosmology
• Scalar-Tensor Gravity Cosmology: Noether symmetries and analytical solutions
• Conditional Symmetries and the Canonical Quantization of Constrained Minisuperspace Actions: the Schwarzschild case
• Conditional symmetries in axisymmetric quantum cosmologies with scalar fields and the fate of the classical singularities
• Minisuperspace Canonical Quantization of the Reissner-Nordstrom Black Hole via Conditional Symmetries
• Generalized (2+1) dimensional black hole by Noether symmetry
• Wheeler-DeWitt Equation in 2 + 1 Dimensions
• BTZ black hole from Poisson-Lie T-dualizable sigma models with spectators
• 4+1 dimensional homogeneous anisotropic string cosmological models
• New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory
• Strings in Homogeneous Background Spacetimes
• Wheeler-DeWitt equation and Lie symmetries in Bianchi scalar-field cosmology
• Non-critical anisotropic Bianchi type $I$ string cosmology with ${\alpha }^{\prime }$-corrections
• Anisotropic homogeneous string cosmology with two-loop corrections
• Cosmological string backgrounds from super Poisson-Lie T-plurality
• Quantum tunneling from generalized $(2+1)$ dimensional black holes having Noether symmetry
• Infrared fixed points of higher-spin fermions in topological semimetals

Cited by in corpus (2)

• 4+1 D homogeneous anisotropic string cosmological models with dilaton and anti-symmetric matter
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory