Chronological structure of a Goedel type universe with negative cosmological constant

TL;DR

This paper analyzes the causal structure of a five-dimensional G"odel universe with a negative cosmological constant, exploring how rotation and symmetry deformations affect the presence of closed time-like curves and extending the analysis to ten dimensions.

Contribution

It introduces a deformation parameter kappa to study different symmetric base spaces and examines the causal properties of the lifted solution in ten dimensions.

Findings

Closed time-like curves depend on the rotational parameter.

Deformation parameter kappa alters the symmetry of the base space.

Causal properties vary in the ten-dimensional extension.

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.