A Singular Conformal Spacetime

The infinite cosmological "constant" limit of the de Sitter solutions to Einstein's equation is studied. The corresponding spacetime is a singular, four-dimensional cone-space, transitive under proper conformal transformations, which constitutes a new example of maximally-symmetric spacetime. Grounded on its geometric and thermodynamic properties, some speculations are made in connection with the primordial universe.Comment: RevTeX4, 10 pages, 1 eps figure. Presentation changes, including a new title; section II.E, on the thermodynamic properties of the de Sitter horizon, completely revised. Version to be published in Journal of Geometry and Physic