Anisotropic space-times in homogeneous string cosmology

Abstract

The dynamics of the early universe may have been profoundly influenced by spatial anisotropies. A search for such backgrounds in the context of string cosmology has uncovered the existence of an entire class of (spatatially) homogeneous but not necessarily isotropic space-times, analogous to the class of Bianchi-types in general relativity. Configurations with vanishing cosmological constant but non-vanishing dilaton and antisymmetric field are explicitly found for all types. This is a new class of solutions, whose isotropy limits reproduce all known and, further, all possible FRW-type of models in the string-cosmology context considered. There is always an initial singularity and no inflation. Other features of the general solutions, including their behaviour under abelian duality are are also discussed.

18 pages, Latex, no figures

References in corpus (17)

• Target Space Duality in String Theory
• Duality, Quotients, and Currents
• Elements of String Cosmology
• Inflation Deflation and Frame-Independence in String Cosmology
• $O(d,d)$-Covariant String Cosmology
• Generalized Duality in Curved String-Backgrounds
• Low energy effective string cosmology
• Axial Vector Duality as a Gauge Symmetry and Topology Change in String Theory
• A Closed, Expanding Universe in String Theory
• Exact Duality Symmetries in CFT and String Theory
• A Problem with Non-Abelian Duality
• O(2,2) Transformations and the String Geroch Group
• Cosmological String Backgrounds from Gauged WZW Models
• Dilaton, winding modes and cosmological solutions
• Some Exact Solutions of String Theory in Four and Five Dimensions
• Homogeneous Conformal String Backgrounds
• On Cosmological String Backgrounds with Toroidal Isometries

Cited by in corpus (43)

• Superstring Cosmology
• Cosmological Limits on Slightly Skew Stresses
• Vacuum fluctuations in axion-dilaton cosmologies
• Godel Universes in String Theory
• Kantowski-Sachs String Cosmologies
• S-duality Invariant Perturbations in String Cosmology
• Inhomogeneous String Cosmologies
• Spatially Homogeneous String Cosmologies
• Closed Inhomogeneous String Cosmologies
• Stringy Toda Cosmologies
• Bianchi-type string cosmology
• On non-Abelian T-duality for non-semisimple groups
• M-theory resolution of four-dimensional cosmological singularities via U-duality
• T-Duality and Penrose limits of spatially homogeneous and inhomogeneous cosmologies
• Anisotropic 'hairs' in string cosmology
• Effects of anisotropy and spatial curvature on the pre-big bang scenario
• Is there chaos in string cosmology?
• Spherical Curvature Inhomogeneities in String Cosmology
• Inhomogeneous Einstein-Rosen String Cosmology
• 4+1 dimensional homogeneous anisotropic string cosmological models
• Strings in Homogeneous Background Spacetimes
• New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory
• Poisson-Lie plurals of Bianchi cosmologies and Generalized Supergravity Equations
• Two-loop conformal invariance for Yang-Baxter deformed strings
• String Cosmology
• Symmetries for generating string cosmologies
• Non-critical anisotropic Bianchi type $I$ string cosmology with ${\alpha }^{\prime }$-corrections
• Qualitative evolution in higher-loop string cosmology
• Anisotropic homogeneous string cosmology with two-loop corrections
• Mirror Images of String Cosmologies
• Cosmological string backgrounds from super Poisson-Lie T-plurality
• Scale-factor duality in string Bianchi cosmologies
• Constraining an Expanding Locally Anisotropic metric from the Pioneer anomaly
• Rotation in string cosmology
• Poisson-Lie identities and dualities of Bianchi cosmologies
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• T-folds as Poisson-Lie plurals
• Classical and quantum (2+1)-dimensional spatially homogeneous string cosmology
• On certain cosmological relics of the early string dynamics
• Dynamical study of the hyperextended scalar-tensor theory in the empty Bianchi type I model
• String gravitational equations with Hermitian structure
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory
• 4+1 D homogeneous anisotropic string cosmological models with dilaton and anti-symmetric matter