Solutions of Minimal Four Dimensional de Sitter Supergravity

Physics – High Energy Physics – High Energy Physics - Theory

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17 Pages. An error in Section 5.1 has been corrected, it was previously stated there were no examples of solutions in this par

Scientific paper

10.1088/0264-9381/27/23/235017

Pseudo-supersymmetric solutions of minimal $N=2$, $D=4$ de Sitter supergravity are classified using spinorial geometry techniques. We find three classes of solutions. The first class of solution consists of geometries which are fibrations over a 3-dimensional manifold equipped with a Gauduchon-Tod structure. The second class of solution is the cosmological Majumdar-Papapetrou solution of Kastor and Traschen, and the third corresponds to gravitational waves propagating in the Nariai cosmology.

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