Describing Non-linearities in Cosmology and linear Point Stability

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Kamalinejad, Farshad | 2018

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 51806 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Abolhasani, Ali Akbar
Abstract:
Standard model of cosmology successfully describes the properties of the universe on large scales. General relativistic perturbation theory accurately describes how the initial fluctuations created in the inflation era grew larger and became the seeds of structure formation later in the radiation and matter dominated era. However, linear perturbation theory breaks at the scales of approximately 10Mpc. In such scales, the gravitational effects are non-linear and we should use standard pertubation theory to find the corrections to the linear power spectrum. In this thesis, I calculated these non-linear contributions analytically and proved the stability of the linear point which is believed to be immune to these non-linear effects in the total matter correlation function
Keywords:
Cosmological Perturbations ; Baryons Acoustic Oscilltions ; Linear Point