Cosmological solutions from fake N=2 EYM supergravity

Abstract

We characterise the (fake) supersymmetric solutions of Wick-rotated N=2 d=4 gauged supergravity coupled to non-Abelian vector multiplets. In the time-like case we obtain generalisations of Kastor & Traschen's cosmological black holes: they have a specific time-dependence and the base-space must be 3-dimensional hyperCR/Gauduchon-Tod space. In the null-case, we find that the metric has a holonomy contained in Sim(2), give a general characterisation of the solutions, and give some examples. Finally, we point out that in some cases the solutions we found are non-BPS solutions to N=2 d=4 supergravity coupled to vector multiplets.

30 pages. Comments and references added, typos corrected

References in corpus (17)

• Hidden supersymmetry of domain walls and cosmologies
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Metrics With Vanishing Quantum Corrections
• All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
• Supersymmetric N=2 Einstein-Yang-Mills monopoles and covariant attractors
• N=2 Einstein-Yang-Mills's BPS solutions
• Domain-wall/Cosmology correspondence in adS/dS supergravity
• Supersymmetry, attractors and cosmic censorship
• Supersymmetric coloured/hairy black holes
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Geometry of four-dimensional Killing spinors
• HKT Geometry and de Sitter Supergravity
• Time-Dependent Multi-Centre Solutions from New Metrics with Holonomy Sim(n-2)
• Solutions of Minimal Four Dimensional de Sitter Supergravity
• Supersymmetric isolated horizons in ADS spacetime
• Supersymmetric isolated horizons

Cited by in corpus (17)

• Supersymmetric solutions to gauged N=2 d=4 sugra: the full timelike shebang
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• Einstein manifolds with torsion and nonmetricity
• N=2 Einstein-Yang-Mills' static two-center solutions
• Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions
• Solutions of Minimal Four Dimensional de Sitter Supergravity
• Geometry of Killing spinors in neutral signature
• Cosmological rotating black holes in five-dimensional fake supergravity
• An action principle for the Einstein-Weyl equations
• Black holes in an expanding universe from fake supergravity
• On supersymmetric Einstein-Weyl spaces
• Positive mass theorem in extended supergravities
• Supersymmetric black holes with spiky horizons
• Black holes in an expanding universe and supersymmetry
• Einstein Weyl Structures and de Sitter Supergravity
• Solutions of D=4 Gauged Pseudo-Supergravity
• Killing Spinors -- Beyond Supergravity