Simulation of cosmological voids in Lambda greater than 0 Friedmann models

Mathematics – Logic

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Astronomical Models, Big Bang Cosmology, Computerized Simulation, Galactic Evolution, Magnetic Monopoles, Spherical Shells, Boundary Value Problems, Density Distribution, Hubble Constant, Velocity Distribution

Scientific paper

The present study of the formation and evolution of cosmological voids, in models constituted from nonrelativistic, pressureless matter and a nonzero cosmological constant Lambda, numerically simulates the growth of primordial density fluctuations from recombination to the present epoch and encompasses in its parameter survey (1) inflationary k = 0 models, (2) noninflationary models with k = +1 or -1, and (3) Lambda = 0 models. The formation of large-scale structures is modeled using a system of concentric spherical shells of equal mass; by imposing an appropriate condition at the edge of the system, the same model can be used to study 'bubble-like' universes approximated by a regular lattice of identical voids separated by overdense regions. It is found difficult, if not impossible, to distinguish models of Lambda greater than 0 from those of Lambda = 0 on the basis of observations of galaxy kinematics.

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