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

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.

26 pages. 3 ps figures

References in corpus (6)

• General Kerr-NUT-AdS Metrics in All Dimensions
• Kerr-de Sitter Black Holes with NUT Charges
• The most general axially symmetric electrovac spacetime adimitting separable equations of motion
• On the parameters of the Kerr-NUT-(anti-)de Sitter space-time
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• Test particle motion in a gravitational plane wave collision background

Cited by in corpus (3)

• Colliding plane wave solution in F(R)=R^{N} gravity
• Restricted Class of Colliding Einstein-Yang-Mills Plane Waves
• Wavy way to the Kerr metric and the quantum nature of its ring singularity