Grassmann expansion of the classical N = 2 supergravity field equations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Fermions, Gravitation Theory, Series Expansion, Supergravity, Unified Field Theory, Vector Spaces, Degrees Of Freedom, Einstein Equations, Linearization, Maxwell Equation, Solitary Waves, Symmetry, Uniqueness Theorem

Scientific paper

The classical field equations of N = 2 supergravity are expanded with
respect to an infinite-dimensional Grassmann algebra. The general
freedom in constructing classical solutions is exhibited. As an
application, a uniqueness theorem for supersymmetric extreme black holes
is given.

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