Superstring Cosmology

Abstract

Aspects of superstring cosmology are reviewed with an emphasis on the cosmological implications of duality symmetries in the theory. The string effective actions are summarized and toroidal compactification to four dimensions reviewed. Global symmetries that arise in the compactification are discussed and the duality relationships between the string effective actions are then highlighted. Higher-dimensional Kasner cosmologies are presented and interpreted in both string and Einstein frames, and then given in dimensionally reduced forms. String cosmologies containing both non-trivial Neveu-Schwarz/Neveu-Schwarz and Ramond-Ramond fields are derived by employing the global symmetries of the effective actions. Anisotropic and inhomogeneous cosmologies in four-dimensions are also developed. The review concludes with a detailed analysis of the pre-big bang inflationary scenario. The generation of primordial spectra of cosmological perturbations in such a scenario is discussed. Possible future directions offered in the Horava-Witten theory are outlined.

161 pages, latex with epsf, 15 figures. Minor changes, additional references and figures. Version to appear in Physics Reports

References in corpus (18)

• Cosmology and the Fate of Dilatation Symmetry
• A new approach to the evolution of cosmological perturbations on large scales
• Dynamic Dilatonic Domain Walls
• Duality and Dilaton
• Inflation and Gauge Hierarchy in Randall-Sundrum Compactification
• The Cosmic Microwave Background and Particle Physics
• The graceful exit in pre-big bang string cosmology
• Nonsingular Dilaton Cosmology in the String Frame
• M-theory resolution of four-dimensional cosmological singularities via U-duality
• Dual geometries and spacetime singularities
• Separable Brane Cosmologies in Heterotic M-Theory
• Generalized Second Law in String Cosmology
• String cosmology versus standard and inflationary cosmology
• Qualitative Analysis of String Cosmologies
• Back-Reaction to Dilaton-Driven Inflation
• Asymptotic Behaviour of Inhomogeneous String Cosmologies
• Cosmological perturbation spectra from SL(4,R)-invariant effective actions
• Mirror Images of String Cosmologies

Cited by in corpus (340)

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• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
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• Primordial perturbations in a non singular bouncing universe model
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• Cosmic Duality in Quintom Universe
• Quintom cosmologies with arbitrary potentials
• Obtaining the CMB anomalies with a bounce from the contracting phase to inflation
• Inflation in Gauss-Bonnet Brane Cosmology
• Nearly Scale-Invariant Spectrum of Adiabatic Fluctuations May be from a Very Slowly Expanding Phase of the Universe
• Solvable model of strings in a time-dependent plane-wave background
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• PPN Parameter $\gamma$ and Solar System Constraints of Massive Brans-Dicke Theories
• Moduli Stabilization with the String Higgs Effect
• String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling
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• Thick Brane Worlds Arising From Pure Geometry
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• Triality between Inflation, Cyclic and Phantom Cosmologies
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• Deformation quantization of cosmological models
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• The Effect of alpha' Corrections in String Gas Cosmology
• Charged black holes in generalized dilaton-axion gravity
• Noncommutative minisuperspace, gravity-driven acceleration and kinetic inflation
• The conformal status of $\omega =-3/2$ Brans-Dicke cosmology
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• The Scale-invariant Power Spectrum of Primordial Curvature Perturbation in CSTB Cosmos
• Assisted dark energy
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• Non singular bounce in modified gravity
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• Phantom cosmology as a simple model with dynamical complexity
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• On the Transfer of Adiabatic Fluctuations through a Nonsingular Cosmological Bounce
• Smoking guns of a bounce in modified theories of gravity through the spectrum of the gravitational waves
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• Gravitational waves in non-singular string cosmologies
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• T-Duality and Penrose limits of spatially homogeneous and inhomogeneous cosmologies
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• Towards a Stringy Resolution of the Cosmological Singularity
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• Kinetic inflation in deformed phase space Brans-Dicke cosmology
• An Exposition on Inflationary Cosmology
• Accelerating anisotropic cosmologies in Brans-Dicke gravity coupled to a mass-varying vector field
• Acceleration of the Universe
• TASI Lectures: Cosmology for String Theorists
• Cosmological matching conditions
• String creation in cosmologies with a varying dilaton
• Spacetime Noncommutativity and Antisymmetric Tensor Dynamics in the Early Universe
• Moduli Stabilization in String Gas Compactification
• Linearized modified gravity theories with a cosmological term: advance of perihelion and deflection of light
• Bianchi type I universes with dilaton and magnetic fields
• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Generalised perturbation equations in bouncing cosmologies
• The Worldsheet Perspective of T-duality Symmetry in String Theory
• A study of phantom scalar field cosmology using Lie and Noether symmetries
• Brane Inflation, Solitons and Cosmological Solutions: I
• A New Class of Inhomogeneous String Cosmological Models in General Relativity
• String coherent vertex operators of Neveu-Schwarz and Ramond states
• 4+1 dimensional homogeneous anisotropic string cosmological models
• Probe Branes Dynamics: Exact Solutions in General Backgrounds
• Exact inhomogeneous Einstein-Maxwell-Dilaton cosmologies
• Perturbations in a regular bouncing Universe
• Exact String Solutions in Nontrivial Backgrounds
• On the stability of Einstein static universe at background level in massive bigravity
• On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling
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• Inflationary attractor in Gauss-Bonnet brane cosmology
• Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
• Modified Saez-Ballester scalar-tensor theory from 5D space-time
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• Colliding String Waves and Duality
• Dynamics and constraints of the dissipative Liouville cosmology
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• Brans--Dicke cosmology does not have the $\Lambda$CDM phase as an universal attractor
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• De-Sitter nonlinear sigma model and accelerating universe
• Late Time Acceleration of the 3-Space in a Higher Dimensional Steady State Universe in Dilaton Gravity
• Quantum cosmology with scalar fields: self-adjointness and cosmological scenarios
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• (Non)Commutative Finsler Geometry from String/M--theory
• Crossing the phantom divide line in universal extra dimensions
• Semiclassical and quantum behavior of the Mixmaster model in the polymer approach for the isotropic Misner variable
• Non-linear vector perturbations in a contracting universe
• Perturbations in a Holographic Universe and in Other Stiff Fluid Cosmologies
• Cosmic acceleration from interaction of ordinary fluids
• Anisotropic Four-Dimensional NS-NS String Cosmology
• Exact solutions for Bianchi type cosmological metrics, Weyl orbits of E_{8(8)} subalgebras and p--branes
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• Moduli Stabilization with Long Winding Strings
• T-dualization in a curved background in absence of a global symmetry
• Solution generating in scalar-tensor theories with a massless scalar field and stiff perfect fluid as a source
• Rippled Cosmological Dark Matter from Damped Oscillating Newton Constant
• Dimensional Reduction of Gravity and Relation between Static States, Cosmologies and Waves
• Cosmologies from higher-order string corrections
• Self-interacting scalar field cosmologies: unified exact solutions and symmetries
• M-Theory Moduli Space and Cosmology
• Towards a future singularity?
• Massive fermion production in nonsingular superstring cosmology
• A Nonsingular Brans Wormhole: An Analogue to Naked Black Holes
• Simple model of big-crunch/big-bang transition
• Quantum and classical cosmology in the Brans-Dicke theory
• Cyclic multiverses
• Covariant Renormalizable Anisotropic Theories and Off-Diagonal Einstein-Yang-Mills-Higgs Solutions
• 100 years of mathematical cosmology: Models, theories, and problems
• Duality Symmetry of String Theory: A Worldsheet Perspective
• On the initial singularity in Kantowski-Sachs spacetime
• Bianchi-I cosmologies, magnetic fields and singularities
• Moduli stabilization in type II Calabi-Yau compactifications at finite temperature
• A symmetry of the spatially flat Friedmann equations with barotropic fluid
• The dynamics of coset dimensional reduction
• Gravitational waves in Brans-Dicke Theory with a cosmological constant
• The cosmological constant in the brane world of string theory on $S^1/Z_2$
• Higher dimensional cosmological model with a phantom field
• Does curvature-dilaton coupling with Kalb Ramond field lead to an accelerating Universe ?
• The Chameleon Effect in the Jordan Frame of the Brans--Dicke Theory
• A Solution to the Graceful Exit Problem in Pre-Big Bang Cosmology
• Cosmic No Hair for Collapsing Universes
• Nonsingular multidimensional cosmologies without fine tuning
• Emergent scenario in mimetic gravity
• Expanding Universe and Dynamical Compactification Using Yang-Mills Instantons
• Inflationary equilibrium configurations of scalar-tensor theories of gravity
• A four-dimensional ΛCDM-type cosmological model induced from higher dimensions using a kinematical constraint
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• Einstein Static Universe and its Stability in Generalized Rastall Gravity
• The Dynamical Evolution of 3-Space in a Higher Dimensional Steady State Universe
• Thermal Equilibrium of String Gas in Hagedorn Universe
• Late transient acceleration of the universe in string theory on $S^1/Z_2$
• Gravitational conformal invariance and coupling constants in Kaluza-Klein theory
• Production of fermions in models of string cosmology
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• Integrals of equations for cosmological and static reductions in generalized theories of gravity
• Towards an Observational Appraisal of String Cosmology
• Dynamical Evolution of the Extra Dimension in Brane Cosmology
• On the chaos of D-brane phase transitions
• Constraints on the Pre-Big Bang scenario from a cosmological interpretation of the NANOGrav data
• Scalar Perturbation Spectra in an Emergent Cosmological Island
• Parameterized Post-Newtonian coefficients for Brans-Dicke gravity with d+1 dimensions
• Primordial magnetic seeds from string cosmology
• T-duality of NSR superstring: The worldsheet perspective
• Cosmological Attractors and Anisotropies in Two Measure Theories, Effective EYMH systems, and Off--Diagonal Inflation Models
• Unified description of cosmological and static solutions in affine generalized theories of gravity: vecton - scalaron duality and its applications
• CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
• An issue with the classification of the scalar-tensor theories of gravity
• Duality linking standard and tachyon scalar field cosmologies
• Graviton production from extra dimensions
• Moving Five-Branes and Membrane Instantons in Low Energy Heterotic M-Theory
• Global existence problem in $T^3$-Gowdy symmetric IIB superstring cosmology
• Dilatonic Domain Walls and Curved Intersecting Branes
• Plane-symmetric inhomogeneous Brans-Dicke cosmology with an equation of state $p=\gamma \rho$
• The hierarchy problem, radion mass, localization of gravity and 4D effective Newtonian potential in string theory on $S^1/Z_2$
• Cosmological Solutions of Low-Energy Heterotic M-Theory
• Universe from vacuum in loop-string cosmology
• Novel Symmetries in Axion-Dilaton Cosmology
• Production of photons in a bouncing universe
• Cosmological Perturbations without Inflation
• Regular Friedmann Universes and Matter Transformations
• Non-Abelian T-duality in Pre-Big-Bang Cosmology
• $\Lambda$CDM cosmology with a quiescent anisotropy in a higher dimensional steady state universe
• Rotational Perturbations in Neveu-Schwarz-Neveu-Schwarz String Cosmology
• General solution of a cosmological model induced from higher dimensions using a kinematical constraint
• Novel Complete Non-compact Symmetries for the Wheeler-DeWitt Equation in a Wormhole Scalar Model and Axion-Dilaton String Cosmology
• Time-dependent toroidal compactification proposals and the Bianchi type II model: classical and quantum solutions
• Spacetime Singularities in String and its Low Dimensional Effective Theory
• Scattering of Stringy States in Compactified Closed Bosonic String
• Cosmological dynamics of D-cceleration
• Inflation with two-form field: the production of primordial black holes and gravitational waves
• Anisotropic power-law inflation for models of non-canonical scalar fields non-minimally coupled to a two-form field
• Accelerating Universes from Short-Range Interactions
• Massive Stringy States and T-duality Symmetry
• Cosmic acceleration in models with density dependent moduli
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Antisymmetric field in string gas cosmology
• Flux-Induced Baryon Asymmetry
• On initial conditions and global existence for accelerating cosmologies from string theory
• Phenomenological implications of $S$-duality symmetry
• Colliding branes and formation of spacetime singularities in string theory
• Self-T-Dual Brane Cosmology and the Cosmological Constant Problem
• The Isometries of Low-Energy Heterotic M-Theory
• Pre-big bang in M-theory
• Generating Generalized $G_{D-2}$ solutions
• Eigenvalues of the Stewart-Lyth equation for inflation with a blue spectrum
• Functional formulation of quantum theory of a scalar field in a metric with Lorentzian and Euclidean signatures
• Scalar-field quintessence by cosmic shear: CFHT data analysis and forecasts for DUNE
• Orbifold Branes in the $M_D\times M_{d^{+}}\times M_{d^{-}}$ Compactification of type II string on $S^1/Z_2$ and their cosmological applications
• Late-time Cosmology without Dark Sector but with Closed String Massless Sector
• Probe Branes Dynamics in Nonconstant Background Fields
• Dilaton Quantum Cosmology with a Schrodinger-like equation
• Closed inflationary universe in Patch Cosmology
• Hamilton-Jacobi approach to pre-big bang cosmology and the problem of initial conditions
• Following the density perturbations through a bounce with AdS/CFT Correspondence
• Falsifying Tree Level String Motivated Bouncing Cosmologies
• Gravitational waves in massive Horndeski theory with a potential
• Non-perturbative Treatments of the Bosonic String and the Axion with Cosmological Implications
• On solving dynamical equations in general homogeneous isotropic cosmologies with scalaron
• Rényi Holographic Dark Energy Models In Multidimensional Universe
• T-duality and Scattering of Stringy States
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• Long-wavelength approximation for string cosmology with barotropic perfect fluid
• Kaehler forms and cosmological solutions in type II supergravities
• 4+1 D homogeneous anisotropic string cosmological models with dilaton and anti-symmetric matter
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• Nonsingular multidimensional cosmologies with Lobachevsky spatial sections
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• Gravity with Perimeter Action and Gravitational Singularities
• Hunting modifications of gravity: from the lab to cosmology via compact objects
• Generating $G_2$--cosmologies with perfect fluid in dilaton gravity
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