Maximal Kerr-de Sitter spacetimes

摘要

In this paper, we propose a survey of the basic geometric properties of Carter's Kerr-de Sitter solution to Einstein's equation with cosmological constant. In particular, we give simple characterisations of the Kerr-dc Sitter analogs of fast, slow and extreme Kerr spacetime and conclude with a discussion on maximal analytical extensions in each of these cases.