Open AccessDark energy in a hyperbolic universe
Author(s) -
Aurich R.,
Steiner F.
Publication year - 2002
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2002.05494.x
Subject(s) - physics , quintessence , astrophysics , cosmic microwave background , dark energy , redshift , universe , omega , spectral density , baryon acoustic oscillations , angular diameter , anisotropy , cosmology , mathematical physics , galaxy , quantum mechanics , stars , statistics , mathematics
Dark energy models arising from a slowly evolving scalar (quintessence) field Φ are studied for various potentials V ( Φ ) in a universe with negative curvature. The potentials differ in whether they possess a minimum at Φ =0 or are monotonically declining, i.e. have a minimum at infinity. The angular power spectrum C l of the cosmic microwave background (CMB) and the magnitude–redshift relation m B ( z ) of the type Ia supernovae are compared with those of the quintessence models. It is demonstrated that some of the models with Ω tot ≃0.85–0.9 are in agreement with the observations, i.e. possess acoustic peaks in the angular power spectrum of the CMB anisotropy as observed experimentally, and yield a magnitude–redshift relation in agreement with the data. Furthermore, it is found that the power spectrum P ( k ) of the large‐scale structure (LSS) also agrees with the observations.