Effect of NUT parameter on the analytic extension of the Cauchy horizon that develop in colliding wave spacetimes

TL;DR

This paper explores how the NUT parameter influences the analytic extension of the Cauchy horizon in colliding wave spacetimes, generalizing previous solutions and examining higher-dimensional cases.

Contribution

It introduces a generalization of the colliding wave solution by incorporating the NUT parameter and analyzes the analytic extension beyond the Cauchy horizon.

Findings

NUT parameter affects the structure of the Cauchy horizon.

Analytic extension resolves time-like singularities.

Higher-dimensional horizons exhibit similar extension behavior.

Abstract

The Cauchy horizon forming colliding wave solution due to Chandrasekhar and Xanthopoulos (CX) has been generalized by inclusion of the NUT (Newman - Unti - Tamburino) parameter. This is done by transforming the part of the inner horizon region of a Kerr-Newman-NUT black hole into the space of colliding waves. By taking appropriate combination of Killing vectors and analytically extending beyond the Cauchy horizon the time-like hyperbolic sigularities are resolved as well. This provides another example of its kind among the type - D metrics with special emphasis on the role of the NUT parameter. Finally, it is shown that horizons of colliding higher dimensional plane waves obtained from the black p-branes undergoes a similar procedure of analytic extension.