New duality relating density perturbations in expanding and contracting Friedmann cosmologies

Latham A. Boyle, Paul J. Steinhardt, Neil Turok

Research output: Contribution to journalArticle

42 Scopus citations

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 languageEnglish (US)
Article number023504
Pages (from-to)023504-1-023504-9
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number2
DOIs
StatePublished - Jul 1 2004

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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