Godel Universe from String Theory

Abstract

Gödel universe is a direct product of a line and a three-dimensional spacetime we call G${}_{\alpha }$. In this paper, we show that the Gödel metrics can arise as exact solutions in Einstein-Maxwell-Axion, Einstein-Proca-Axion, or Freedman-Schwarz gauged supergravity theories. The last allows us to embed Gödel universe in string theory. The ten-dimensional spacetime is a direct product of a line and the nine-dimensional one of an $S^3\times S^3$ bundle over G${}_{\alpha }$, and it can be interpreted as some decoupling limit of the rotating D1/D5/D5 intersection. For some appropriate parameter choice, the nine-dimensional metric becomes an AdS${}_3\times S^3$ bundle over squashed 3-sphere. We also study the properties of the Gödel black holes that are constructed from the double Wick rotations of the Gödel metrics.

latex, 20 pages, discussion on null-energy condition included, typos corrected and references added

References in corpus (5)

• General Non-extremal Rotating Charged Godel Black Holes in Minimal Five-Dimensional Gauged Supergravity
• Gödel-type universes in f(R) gravity
• Extremal Kerr black hole/CFT correspondence in the five dimensional Gödel universe
• Gödel and Gödel-type universes in Brans-Dicke theory
• Thermodynamics and Hawking radiation of five-dimensional rotating charged Gödel black holes

Cited by in corpus (9)

• Testing the Cosmic Anisotropy with Supernovae Data: Hemisphere Comparison and Dipole Fitting
• Gödel-type solutions within the f(R,Q) gravity
• Cosmic Anisotropy and Fast Radio Bursts
• Generalized Gödel universes in higher dimensions and pure Lovelock gravity
• Godel Metrics with Chronology Protection in Horndeski Gravities
• Lemaitre-Tolman-Bondi Static Universe in Rastall-like Gravity
• Ground state of a bosonic massive charged particle in the presence of external fields in a Gödel-type spacetime
• T-dualization of Gödel string cosmologies via Poisson-Lie T-duality approach
• Mass and angular momentum of charged rotating Gödel black holes in five-dimensional minimal supergravity