Anti-de Sitter wormhole kink

TL;DR

This paper explores a novel geometric transformation linking anti-de Sitter wormholes to higher-dimensional black holes via a kinked metric, revealing instantonic structures and potential closed timelike curves in semiclassical regimes.

Contribution

It introduces a new method to relate four-dimensional anti-de Sitter wormholes to five-dimensional black holes using a kinked metric transformation.

Findings

Transformation connects wormhole metrics to black hole metrics.

Kinked metrics can be maximally extended to instantonic structures.

Semiclassical analysis suggests the presence of closed timelike curves.

Abstract

The metric describing a given finite sector of a four-dimensional asymptotically anti-de Sitter wormhole can be transformed into the metric of the time constant sections of a Tangherlini black hole in a five-dimensional anti-de Sitter spacetime when one allows light cones to tip over on the hypersurfaces according to the conservation laws of an one-kink. The resulting kinked metric can be maximally extended, giving then rise to an instantonic structure on the euclidean continuation of both the Tangherlini time and the radial coordinate. In the semiclassical regime, this kink is related to the existence of closed timelike curves.