Bianchi Type I model of universe with customized scale factors

Abstract

According to standard cosmology, the universe is homogeneous and isotropic at large scales. However, some anisotropies can be observed at the local scale in the universe through various ways. Here we have studied the Bianchi type I model with customizing the scale factors to understand the anisotropic nature of the universe. We have considered two cases with slight modifications of scale factors in different directions in the generalized Bianchi Type I metric equation, and compared the results with the $\Lambda$CDM model and also with available cosmological observational data. Through this study, we also want to predict the possible degree of anisotropy present in the early universe and its evolution to current time by calculating the value of density parameter for anisotropy (${\Omega }_{\sigma }$) for both low and high redshift (z) along with the possible relative anisotropy that exist among different directions. It is found that there was a significant amount of anisotropy in the early universe and the anisotropic nature of the universe vanishes at the near past and the present epochs. Thus at near past and present stages of the universe there is no effective distinction between this anisotropic model and the standard $\Lambda$CDM model.

18 pages, 10 figures

References in corpus (17)

• Dynamics of dark energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark Energy and the Accelerating Universe
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Inflationary Universe with Anisotropic Hair
• Vector Inflation
• Spatial variation in the fine-structure constant -- new results from VLT/UVES
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
• Anisotropic Inflation from Vector Impurity
• Power of Observational Hubble Parameter Data: a Figure of Merit Exploration
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• Testing the Isotropy of the Universe with Type Ia Supernovae
• Probing the anisotropic expansion from supernovae and GRBs in a model-independent way
• Testing the isotropy of the Universe with type Ia supernovae in a model-independent way
• Power Asymmetries in the Cosmic Microwave Background Temperature and Polarization patterns

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