EXPLICIT SOLUTIONS FOR POINT PARTICLES AND BLACK HOLES IN SPACES OF CONSTANT CURVATURE IN 2+1-D GRAVITY

Abstract In this paper we consider space-times containing matter expanding or contracting according to a time-dependent scale factor. Cosmologies with vanishing, positive or negative cosmological constant are considered. In the case of vanishing or negative cosmological constant open and closed spatial surfaces are solutions while in the case of positive cosmological constant only closed surfaces exist. The gravitational field is solved explicitly in the case of 1 or 2 particles, 1 black hole, and 1 black hole vacuum state.