Since the advent of inflation, several theorems have been proven suggesting that although inflation can (and generically does) continue eternally into the future, it cannot be extended eternally into the past to create a ``steady-state'' model with no initial time. Here we provide a construction that circumvents these theorems and allows a self-consistent, geodesically complete, and physically sensible steady-state eternally inflating universe, based on the flat slicing of de Sitter space. This construction could be used as the background spacetime for creation events that form big-bang-like regions, and hence could form the basis for a cosmology that is compatible with observations and yet which avoids an initial singularity or beginning of time.
Physical Review D
- Pub Date:
- April 2002
- Spacetime topology causal structure spinor structure;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- Minor modifications to match version in Phys. Rev. D. 7 pages, 2 color figures