By Markus Heusler
This well timed assessment offers a self-contained advent to the mathematical thought of desk bound black holes and a self-consistent exposition of the corresponding forte theorems. the hole chapters research the final homes of space-times admitting Killing fields and derive the Kerr-Newman metric. Heusler emphasizes the final gains of desk bound black holes, the legislation of black gap mechanics, and the geometrical suggestions in the back of them. Tracing the stairs towards the facts of the "no-hair" theorem, he illustrates the tools utilized by Israel, the divergence formulation derived by means of Carter, Robinson and others, and at last the sigma version identities and the confident mass theorem. The e-book additionally comprises an extension of the electro-vacuum distinctiveness theorem to self-gravitating scalar fields and harmonic mappings. A rigorous textbook for graduate scholars in physics and arithmetic, this quantity deals a useful, up to date reference for researchers in mathematical physics, common relativity and astrophysics.
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