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 dS2 × ?2 spacetime, with ?2 = S2 and H2, in the infinite past and a dS4 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 dS4 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 dS4 vacua and their associated cosmological solutions. © 2021 The Author(s). Published by IOP Publishing Ltd.