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Time-dependent backgrounds from supergravity with gauged non-compact R-symmetry

Klaus Behrndt·Mirjam Cvetic
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Abstract

We obtain a general class of time-dependent, asymptotically de Sitter backgrounds which solve the first order bosonic equations that extremize the action for supergravity with gauged non-compact $R$-symmetry. These backgrounds correspond only to neutral fields with the correct sign of kinetic energy. Within N=2 five-dimensional supergravity with vector-superfields we provide examples of multi-centered charged black holes in asymptotic de Sitter space, whose spatial part is given by a time-dependent hyper-Kähler space. Reducing these backgrounds to four dimensions yields asymptotically de Sitter multi-centered charged black hole backgrounds and we show that they are related to an instanton configuration by a massive T-duality over time. Within N=2 gauged supergravity in four (and five)-dimensions with hyper-multiplets there could also be neutral cosmological backgrounds that are regular and correspond to the different de Sitter spaces at early and late times.

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Klaus Behrndt, Mirjam Cvetic. 2003-04-05. Time-dependent backgrounds from supergravity with gauged non-compact R-symmetry. https://doi.org/10.1088/0264-9381%2F20%2F19%2F304

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