2006/09/30 by Luis P. Chimento, Winfried Zimdahl
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Conformal symmetry #Cosmology #Cosmology and Gravitation Theories #Dark energy #Duality (order theory) #Galaxies: Formation, Evolution, Phenomena #Geometry #Mathematical physics #Physics #Scalar (mathematics) #Theoretical physics #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1142/s0218271808013820
published as Int.J.Mod.Phys.D17:2229-2254,2008 · 14 pages, Discussion enlarged, accepted for publication in IJMPD
arxiv created 2008/02/01 · openalex publication_date 2008/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A duality transformation that interrelates expanding and contracting cosmological models is shown to single out a duality invariant, interacting two-component description of any irrotational, geodesic and shear-free cosmic medium with vanishing three-curvature scalar. We have applied this feature to a system of matter and radiation, to a mixture of dark matter and dark energy, to minimal and conformal scalar fields, and to an enlarged Chaplygin gas model of the cosmic substratum. We have extended the concept of duality transformations to cosmological perturbations and demonstrated the invariance of adiabatic pressure perturbations under these transformations.