CLASSICAL-SOLUTIONS IN 3-DIMENSIONAL COSMOLOGICAL GRAVITY

Solutions, depending on only one variable, to three-dimensional cosmological gravity are shown to be geodesics of an abstract three-dimensional Minkowski space. These geodesics are timelike, lightlike, or spacelike for positive, zero, or negative values of the cosmological constant. The singularity structure of the solutions depends on the position of the associated geodesics relative to the light cone in solution space. The extension to the case of three-dimensional cosmological gravity with field-theoretical sources is briefly discussed.