2020/06/30 by M. H. Abbassi, Mohammad H. Abbassi, Amir H. Abbassi
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Boltzmann equation #Classical mechanics #Cosmological perturbation theory #Cosmology and Gravitation Theories #Curvature #Friedmann–Lemaître–Robertson–Walker metric #Galaxies: Formation, Evolution, Phenomena #Geometry #Inflation (cosmology) #Physics #Quantum mechanics #Theoretical physics #Universe #astro-ph.CO #gr-qc
paper · pdf · doi:10.1088/1475-7516/2020/12/042
published as JCAP12(2020)042 · 20 pages, no figure , accepted for publication in JCAP
arxiv created 2020/11/21 · openalex publication_date 2020/12/29 · arxiv updated 2021/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We write down Boltzmann equation for massive particles in a spatially curved FRW universe and solve the approximate line-of-sight solution for evolution of matter density, including the effects of spatial curvature to the first order of approximation. It is shown that memory of early time gravitational potential is affected by presence of spatial curvature. Then we revisit Boltzmann equation for photons in the general FRW background. Using it, we show that how the frequency of oscillations and damping factor (known as Silk damping) changed in presence of spatial curvature. At last, using this modified damping factor in hydrodynamic regime of cosmological perturbations, we find our analytic solution which shows the effects of spatial curvature on growing mode of matter density.