The Roberts–(A)dS spacetime
Global structure of the (anti-)de Sitter ((A)dS) generalization of the Roberts solution in general relativity with a massless scalar field and its topological generalization are clarified. In the case with a negative cosmological constant, the spacetime is asymptotically locally AdS and it contains a black-hole event horizon depending on the parameters. The spacetime may be attached to the exact AdS spacetime in a regular manner on a null hypersurface and the resulting spacetime represents gravitational collapse from a regular initial datum. The higher-dimensional counterpart of this Roberts–(A)dS solution with a flat base manifold is also given.