Abstract
For a 4-dimensional spatially flat Friedmann-Robertson-Walker universe with a scalar field φ(x), potential V(φ) and constant equation of state w=p/p, we show that an expanding solution characterized by Ε=3(1 + w)/2 produces the same scalar perturbations as a contracting solution with Ε̂=1/Ε. The same symmetry applies to both the dominant and subdominant scalar perturbation modes. This result admits a simple physical interpretation and generalizes to d spacetime dimensions if we define Ε=[(2d-5) + (d-1)w]/(d-2).
| Original language | English (US) |
|---|---|
| Article number | 023504 |
| Pages (from-to) | 023504-1-023504-9 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 70 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 1 2004 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
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Cite this
Boyle, L. A., Steinhardt, P. J., & Turok, N. (2004). New duality relating density perturbations in expanding and contracting Friedmann cosmologies. Physical Review D - Particles, Fields, Gravitation and Cosmology, 70(2), 023504-1-023504-9. [023504]. https://doi.org/10.1103/PhysRevD.70.023504