New duality relating density perturbations in expanding and contracting Friedmann cosmologies

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

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

For a 4-dimensional spatially flat Friedmann-Robertson-Walker universe with a scalar field [Formula Presented] potential [Formula Presented] and constant equation of state [Formula Presented] we show that an expanding solution characterized by [Formula Presented] produces the same scalar perturbations as a contracting solution with [Formula Presented] 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 [Formula Presented].

Original languageEnglish (US)
Pages (from-to)9
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number2
DOIs
StatePublished - 2004

All Science Journal Classification (ASJC) codes

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

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