Spatial periodicity of galaxy number counts, CMB anisotropy, and SNIa Hubble diagram based on the universe accompanied by a non-minimally coupled scalar field

Abstract

We have succeeded in establishing a cosmological model with a non-minimally coupled scalar field φ that can account not only for the spatial periodicity or the picket-fence structure exhibited by the galaxy N -z relation of the 2dF survey but also for the spatial power spectrum of the cosmic microwave background radiation (CMB) temperature anisotropy observed by the WMAP satellite. The Hubble diagram of our model also compares well with the observation of Type Ia supernovae. The scalar field of our model universe starts from an extremely small value at around the nucleosynthesis epoch, remains in that state for sufficiently long periods, allowing sufficient time for the CMB temperature anisotropy to form, and then starts to grow in magnitude at the redshift z of ∼ 1, followed by a damping oscillation which is required to reproduce the observed picket-fence structure of the N -z relation. To realize such behavior of the scalar field, we have found it necessary to introduce a new form of potential V (φ) ∝ φ 2 exp(−qφ 2 ), with q being a constant. Through this parameter q, we can control the epoch at which the scalar field starts growing.

Large-scale periodicity in the distribution of QSO absorption-line systems

“…A special wave of interest in the effects of periodicity in the redshift distribution of galaxies was initiated by Broadhurst et al (1990). Their pencil-beam surveys near the Galactic poles displayed a periodicity on a scale about 130h −1 Mpc, which might be interpreted either as a pure spatial quasi-periodic pattern of LSS constituents (set of clumps or walls and voids; see, e.g., Kurki-Suonio et al 1990;Kaiser and Peacock 1991;van de Weygaert 1991;Dekel et al 1992;Yoshida et al 2001 and references therein) or as a spatial-temporal sequence of pronounced and depressed epochs which could become apparent in the distribution of matter (see, e.g., Morikawa 1991; Hirano et al 2008). Table 1 represents the examples of characteristic scales obtained in last years by a few groups of authors employing statistical analysis of galaxies and clusters of galaxies.…”

Gravitational collapse in Vaidya space–time for Galileon gravity theory

“…As a possible explanation for the cosmic acceleration, modifications to gravity at cosmological distances have recently received much attention. Numerous modified gravity theories have been proposed during the last decade, some of which worth mentioning are, loop Quantum gravity (LQG) [1,2], Gauss-Bonnet gravity [3,4], scalar-tensor theories [5,6,7], f (R) gravity [8], DGP braneworld model [9], Galileon gravity [10,11,12,13,14], etc.…”

Galaxy redshift abundance periodicity from Fourier analysis of number counts N(z) using SDSS and 2dF GRS galaxy surveys

“…However Hirano et al (2008) have attempted to explain galaxy redshift abundance periodicity as a real effect resulting from the universe having a non-minimally coupled scalar field that manifests, in later cosmological times. The effect produced oscillations in the expansion rate as a function of time.…”