5 Applications of the Coset Structure

The σ-model structure is responsible for various distinguished features of the stationary Einstein–Maxwell (EM) system and related self-gravitating matter models. This section is devoted to a brief discussion of some applications: We argue that the Mazur identity [133Jump To The Next Citation Point], the quadratic mass formulas [89Jump To The Next Citation Point] and the Israel–Wilson class of stationary black holes [102Jump To The Next Citation Point145Jump To The Next Citation Point] owe their existence to the σ-model structure of the stationary field equations.

 5.1 The Mazur identity
 5.2 Mass formulae
 5.3 The Israel–Wilson class

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