from Part II - General Relativity
Published online by Cambridge University Press: 01 March 2026
More varieties of spherically symmetric and axially symmetric solutions are found, such as the Reissner–Nordström black hole as well as de Sitter and anti-de Sitter variations thereof. Rotating black holes are also given a healthy dose of attention. An old but relatively less-known fact invoked in this chapter is how the rotating Kerr solution can be extracted from an analytic continuation of the spherically symmetric Schwarzschild solution. The same relation is known between the Kerr–Newman and the Reissner–Nordström. Maximally symmetric solutions with the cosmological constant, de Sitter, and anti-de Sitter, are also explored under various coordinate choices.
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