Solutions of Minimal Four Dimensional de Sitter Supergravity

Abstract

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.

17 Pages. Minor correction to section 4; equation (4.21) corrected and (old) equation (4.26) deleted; the final result is unchanged

References in corpus (7)

• N=31 is not IIB
• Geometry of four-dimensional Killing spinors
• HKT Geometry and de Sitter Supergravity
• Cosmological solutions from fake N=2 EYM supergravity
• Maximally supersymmetric G-backgrounds of IIB supergravity
• Maximally Minimal Preons in Four Dimensions
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Cited by in corpus (19)

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• Geometry of Killing spinors in neutral signature
• Cosmological solutions from fake N=2 EYM supergravity
• Gravitational Instantons and Euclidean Supersymmetry
• Cosmological rotating black holes in five-dimensional fake supergravity
• An action principle for the Einstein-Weyl equations
• Phantom Metrics With Killing Spinors
• Phantom Space-times in Fake Supergravity
• Para-Complex Geometry and Gravitational Instantons
• On supersymmetric Einstein-Weyl spaces
• Einstein Weyl Structures and de Sitter Supergravity
• A note on the Hyper--CR equation, and gauged $N=2$ supergravity
• Euclidean Supergravity and Multi-Centered Solutions
• On Non-extremal Instantons and Black Holes
• Killing Spinors -- Beyond Supergravity
• Neutral Signature Gauged Supergravity Solutions