TL;DR
This paper surveys the geometric properties of Kerr-de Sitter spacetimes, characterizing different regimes and discussing their maximal analytical extensions, contributing to understanding solutions of Einstein's equations with positive cosmological constant.
Contribution
It provides a comprehensive survey of Kerr-de Sitter spacetime properties, including classifications and extensions, which is a novel synthesis of geometric and analytical insights.
Findings
Characterization of fast, slow, and extreme Kerr-de Sitter spacetimes
Discussion on maximal analytical extensions for each case
Simplified geometric descriptions of Kerr-de Sitter solutions
Abstract
In this paper, we propose a survey of the basic geometric properties of Carters Kerr-de Sitter solution to Einsteins equation with positive cosmological constant. In particular, we give simple characterisations of the Kerr-de Sitter analogs of fast, slow and extreme Kerr spacetime and conclude with a discussion on maximal analytical extensions in each of these cases.
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