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 $\varphi$ that can account not only for the spatial periodicity or the {\it 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 $\sim 1$, 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 $V(\varphi )\propto {\varphi }^2\exp (-q{\varphi }^2)$, with $q$ being a constant. Through this parameter $q$, we can control the epoch at which the scalar field starts growing.

19 pages, 18 figures, Accepted for publication in Astrophysics & Space Science

References in corpus (6)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Exploring Cosmological Expansion Parametrizations with the Gold SnIa Dataset
• Testing general relativity and probing the merger history of massive black holes with LISA

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• Gravitational Collapse In Vaidya Space-time For Galileon Gravity Theory
• Observational tests for oscillating expansion rate of the Universe
• Crossing the Phantom Divide in Extended Dvali-Gabadadze-Porrati Gravity
• Observational Constraints on Phantom Crossing DGP Gravity
• Large-scale periodicity in the distribution of QSO absorption-line systems
• The Friedmann equations in deformed Hořava-Lifshitz gravity and Debye model