Godel Universes in String Theory

Abstract

We show that homogeneous Gödel spacetimes need not contain closed timelike curves in low-energy-effective string theories. We find exact solutions for the Gödel metric in string theory for the full $O({\alpha }^{\prime })$ action including both dilaton and axion fields. The results are valid for bosonic, heterotic and super-strings. To first order in the inverse string tension ${\alpha }^{\prime }$, these solutions display a simple relation between the angular velocity of the Gödel universe, $\Omega ,$ and the inverse string tension of the form ${\alpha }^{\prime }=1/{\Omega }^2$ in the absence of the axion field. The generalization of this relationship is also found when the axion field is present.

13 pages, REVTEX, improved version, more references added

References in corpus (6)

• Inhomogeneous Pre-Big Bang String Cosmology
• Classical Inhomogeneities in String Cosmology
• Closed Inhomogeneous String Cosmologies
• Is there chaos in string cosmology?
• A Lattice Universe from M-theory
• Anisotropic String Cosmology at Large Curvatures

Cited by in corpus (50)

• The Pre-Big Bang Scenario in String Cosmology
• Relativistic cosmology and large-scale structure
• Singularity-free cosmological solutions in quadratic gravity
• The Existence of Godel, Einstein and de Sitter Universes
• Goedel-type Universes and the Landau Problem
• Gödel-type universes in f(R) gravity
• Dynamics and stability of the Godel universe
• Chronology Protection in String Theory
• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• Closed timelike curves and geodesics of Godel-type metrics
• Gödel-type universes in Palatini f(R) gravity
• Godel-Type Metrics in Various Dimensions
• Godel-type Universes in String-inspired Charged Gravity
• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• Magnetic field amplification in CDM anisotropic collapse
• The Gödel solution in the modified gravity
• Godel brane
• Transfer matrices for magnetized CMB anisotropies
• Gödel-type Spacetimes in Induced Matter Gravity Theory
• (2+1) dimensional stars
• Violation of causality in $f(T)$ gravity
• Closed Timelike Curves, Singularities and Causality: A Survey from Gödel to Chronological Protection
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Exact conformal field theories from mutually T-dualizable $\sigma$-models
• Vorticity survival in magnetised Friedmann universes
• Superenergy and Supermomentum of Goedel Universes
• Energy-momentum and angular momentum of Goedel universes
• String Cosmology
• Godel Universe from String Theory
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• 100 years of mathematical cosmology: Models, theories, and problems
• Godel Metrics with Chronology Protection in Horndeski Gravities
• Generalized Gödel universes in higher dimensions and pure Lovelock gravity
• Dirac fermions in a spinning conical Gödel-type spacetime
• Gradient expansion, curvature perturbations and magnetized plasmas
• Search for Global Metric Anisotropy in Type Ia Supernova Data
• Non-critical anisotropic Bianchi type $I$ string cosmology with ${\alpha }^{\prime }$-corrections
• Anisotropic homogeneous string cosmology with two-loop corrections
• Stability of tardyons and tachyons in the rotating and expanding Universe
• Black String and Gödel type Solutions of Chern-Simons Modified Gravity
• Charged perfect fluid and scalar field coupled to gravity
• Rotational inhomogeneities from pre-big bang?
• Rotational Perturbations in Neveu-Schwarz-Neveu-Schwarz String Cosmology
• T-dualization of Gödel string cosmologies via Poisson-Lie T-duality approach
• Rotation in string cosmology
• Magnetic field contribution to the last electron-photon scattering
• Is Modified Chaplygin gas along with barotropic fluid responsible for acceleration of the Universe?
• Non-Abelian T-duality of $Ad{S}_{d\le 3}$ families by Poisson-Lie T-duality
• Godel Type Metrics in Randall Sundrum Model
• Does rotation generate a massive string ?