Cosmological solutions from 4D $N=4$ matter-coupled supergravity

Abstract

From four-dimensional $N=4$ matter-coupled gauged supergravity, we study smooth time-dependent cosmological solutions interpolating between a $d{S}_2\times {\Sigma }_2$ spacetime, with ${\Sigma }_2=S^2$ and $H^2$, in the infinite past and a $d{S}_4$ spacetime in the infinite future. The solutions were obtained by solving the second-order equations of motion from all the ten gauged theories known to admit $d{S}_4$ solutions, of which there are two types. Type I $dS$ gauged theories can admit both $dS$ solutions as well as supersymmetric $AdS$ solutions while type II $dS$ gauged theories only admit $dS$ solutions. We also study the extent to which the first-order equations that solve the aforementioned second-order field equations fail to admit the $d{S}_4$ vacua and their associated cosmological solutions.

arXiv commentv1: 38 pages, 7 figures. v2: slight modification of section 7, plus more details and references added; v3: Published version

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Cited by in corpus (1)

• Cosmological solutions from 4D $N=4$ matter-coupled supergravity