Nut Charged Space-times and Closed Timelike Curves on the Boundary

TL;DR

This paper explores higher-dimensional Taub-NUT-AdS spacetimes with non-spherical horizons, examines their thermodynamics, and discusses implications for the AdS/CFT correspondence and closed timelike curves.

Contribution

It generalizes four-dimensional Taub-NUT-AdS solutions to higher dimensions with non-spherical horizons and analyzes their thermodynamics and boundary geometries.

Findings

Entropy/area relation is violated with NUT charge

Boundary metrics relate to G"odel-type spacetimes

Implications for AdS/CFT in spacetimes with closed timelike curves

Abstract

We consider higher dimensional generalizations of the four dimensional topological Taub-NUT-AdS solutions, where the angular spheres are replaced by planes and hyperboloids. The thermodynamics of these configurations is discussed to some extent. The results we find suggest that the entropy/area relation is always violated in the presence of a NUT charge. We argue also that the conjectured AdS/CFT correspondence may teach us something about the physics in spacetimes containing closed timelike curves. To this aim, we use the observation that the boundary metric of a (D+1)-dimensional Taub-NUT-AdS solution provides a D-dimensional generalization of the known G\"odel-type spacetimes.