Hubble expansion and structure formation in time varying vacuum models

Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.083511· OSTI ID:21325321

Basilakos, Spyros ^[1]; Plionis, Manolis ^[2]; Sola, Joan ^[3]

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1. Academy of Athens, Research Center for Astronomy and Applied Mathematics, Soranou Efesiou 4, 11527, Athens (Greece)
2. Institute of Astronomy and Astrophysics, National Observatory of Athens, Thessio 11810, Athens (Greece) and Instituto Nacional de Astrofisica, Optica y Electronica, 72000 Puebla (Mexico)
3. High Energy Physics Group, Department Estructura i Constituents de la Materia, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Catalonia (Spain) and Institut de Ciencies del Cosmos, Univ. de Barcelona, Barcelona (Spain)

We investigate the properties of the FLRW flat cosmological models in which the vacuum energy density evolves with time, {lambda}(t). Using different versions of the {lambda}(t) model, namely, quantum field vacuum, power series vacuum and power law vacuum, we find that the main cosmological functions such as the scale factor of the Universe, the Hubble expansion rate H, and the energy densities are defined analytically. Performing a joint likelihood analysis of the recent supernovae type Ia data, the cosmic microwave background shift parameter and the baryonic acoustic oscillations traced by the Sloan Digital Sky Survey galaxies, we put tight constraints on the main cosmological parameters of the {lambda}(t) scenarios. Furthermore, we study the linear matter fluctuation field of the above vacuum models. We find that the patterns of the power series vacuum {lambda}=n{sub 1}H+n{sub 2}H{sup 2} predict stronger small scale dynamics, which implies a faster growth rate of perturbations with respect to the other two vacuum cases (quantum field and power law), despite the fact that all the cosmological models share the same equation of state parameter. In the case of the quantum field vacuum {lambda}=n{sub 0}+n{sub 2}H{sup 2}, the corresponding matter fluctuation field resembles that of the traditional {lambda} cosmology. The power law vacuum ({lambda}{proportional_to}a{sup -n}) mimics the classical quintessence cosmology, the best fit being tilted in the phantom phase. In this framework, we compare the observed growth rate of clustering measured from the optical galaxies with those predicted by the current {lambda}(t) models. Performing a Kolmogorov-Smirnov statistical test we show that the cosmological models which contain a constant vacuum ({lambda}CDM), quantum field vacuum, and power law vacuum provide growth rates that match well with the observed growth rate. However, this is not the case for the power series vacuum models (in particular, the frequently adduced {lambda}{proportional_to}H model) in which clusters form at significantly earlier times (z{>=}4) with respect to all other models (z{approx}2). Finally, we derived the theoretically predicted dark matter halo mass function and the corresponding distribution of cluster-size halos for all the models studied. Their expected redshift distribution indicates that it will be difficult to distinguish the closely resembling models (constant vacuum, quantum field, and power law vacuum), using realistic future x-ray surveys of cluster abundances. However, cluster surveys based on the Sunayev-Zeldovich detection method give some hope to distinguish the closely resembling models at high redshifts.

• OSTI ID: 21325321
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 8; Other Information: DOI: 10.1103/PhysRevD.80.083511; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
COMPARATIVE EVALUATIONS
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
COSMOLOGY
DISTRIBUTION
DISTURBANCES
ENERGY DENSITY
EQUATIONS OF STATE
EXPANSION
FLUCTUATIONS
GALAXIES
HUBBLE EFFECT
MASS
NONLUMINOUS MATTER
OSCILLATIONS
PERTURBATION THEORY
QUANTUM FIELD THEORY
RED SHIFT
RELICT RADIATION
SUPERNOVAE
UNIVERSE
X RADIATION