Horizon problem in cosmological models with non zero

Mathematics – Logic

Scientific paper

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Astronomical Models, Cosmology, Photons, Red Shift, Universe, Elliptic Functions, Horizon

Scientific paper

The influence of the small cosmological constant on the angle under which we observe today the particle horizon corresponding to the last scattering epoch is investigated. Numerical calculations are performed as well for the recombination epoch (zR = 1300) as for the model in which the last scattering of photons took place more recently (5 less than zS less than 15) due to reheating. It is shown that even the small admissible Lambda-term may change this angle remarkably (up to 50 percent) depending on the density of the matter. Moreover, the positive cosmological constant lowers the angle while the negative one enlarges it. In models with reheating, the values of redshifts for which the horizon problem may be solved are found. The surface of the last scattering in these models is also calculated. Numerical values of all integrals appearing in the paper are found using elliptic functions.

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