EFFECT OF NUT PARAMETER ON THE ANALYTIC EXTENSION OF THE CAUCHY HORIZON THAT DEVELOP IN COLLIDING WAVE SPACE–TIMES

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 timelike hyperbolic singularities 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.