Chronological structure of a Goedel type universe with negative cosmological constant

Abstract

We show that the Goedel solution of five-dimensional gauged supergravity contains either closed time-like curves through every space-time point or none at all, dependent on the rotational parameter. In addition, we present a deformation of that solution with a parameter kappa which characterizes the symmetry of four-dimensional base space: for kappa = 1, 0, -1 it has spherical, flat and hyperbolic symmetry, respectively. Also investigated are the causal properties of the lifted solution in 10 dimensions.

10 pages, LaTeX (v2: added new references)

References in corpus (5)

• Goedel's Universe in a Supertube Shroud
• Rotating Black Holes in a Goedel Universe
• Closed Timelike Curves and Holography in Compact Plane Waves
• Can branes travel beyond CTC horizon in Godel Universe?
• Classical and Quantum Strings in compactified pp-waves and Godel type Universes

Cited by in corpus (8)

• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• An Exact String Theory Model of Closed Time-Like Curves and Cosmological Singularities
• Black holes in Goedel-type universes with a cosmological constant
• A deformation of AdS_5 x S^5
• Supertube domain-walls and elimination of closed time-like curves in string theory
• On the Thermodynamics of Goedel Black Holes
• On a class of 4D Kahler bases and AdS_5 supersymmetric Black Holes
• Over-Rotating Supertube Backgrounds