Homogeneous Conformal String Backgrounds

Abstract

We present exact solutions characterised by Bianchi-type I,II,III,V,VI four-dimensional metric, space-independent dilaton, and vanishing torsion background, for the low energy string effective action with zero central charge deficit. We show that, in such a context, curvature singularities cannot be avoided, except for the trivial case of flat spacetime and constant dilaton. We also provide a further example of the failure of the standard prescription for connecting conformal string backgrounds through duality transformations associated to non-semisimple, non-Abelian isometry group.

20 pages, latex, no figures, to appear in Class. Q. Grav

References in corpus (9)

• Pre-Big-Bang in String Cosmology
• Target Space Duality in String Theory
• Duality Symmetries from Non--Abelian Isometries in String Theories
• Duality and Dilaton
• Twisting Classical Solutions in Heterotic String Theory
• Inflation Deflation and Frame-Independence in String Cosmology
• Dilaton Production in String Cosmology
• $O(d,d)$-Covariant String Cosmology
• A Problem with Non-Abelian Duality

Cited by in corpus (27)

• The Pre-Big Bang Scenario in String Cosmology
• Godel Universes in String Theory
• Kantowski-Sachs String Cosmologies
• Anisotropic Scalar-Tensor Cosmologies
• Inhomogeneous String Cosmologies
• Anisotropic space-times in homogeneous string cosmology
• Bianchi Type I Cosmologies in Arbitrary Dimensional Dilaton Gravities
• Spatially Homogeneous String Cosmologies
• Bianchi-type string cosmology
• On non-Abelian T-duality for non-semisimple groups
• Is there chaos in string cosmology?
• Spherical Curvature Inhomogeneities in String Cosmology
• 4+1 dimensional homogeneous anisotropic string cosmological models
• Super Non-Abelian T-Duality
• Strings in Homogeneous Background Spacetimes
• Anisotropic Four-Dimensional NS-NS String Cosmology
• Two-loop conformal invariance for Yang-Baxter deformed strings
• Poisson-Lie plurals of Bianchi cosmologies and Generalized Supergravity Equations
• Higher Loop String Cosmology with Moduli and Antisymmetric Tensor Field
• Homogeneous magnetic fields in fully anisotropic string cosmological backgrounds
• Low-energy graceful exit in anisotropic string cosmology backgrounds
• Qualitative evolution in higher-loop string cosmology
• Cosmological string backgrounds from super Poisson-Lie T-plurality
• Poisson-Lie identities and dualities of Bianchi cosmologies
• Rotation in string cosmology
• Abelian Magnetic Monopoles and Topologically Massive Vector Bosons in Scalar-Tensor Gravity with Torsion Potential
• 4+1 D homogeneous anisotropic string cosmological models with dilaton and anti-symmetric matter