Dark matter and the cosmological constant.

Mathematics – Logic

Scientific paper

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Cosmology: Dark Matter, Cosmological Constant: Missing Mass

Scientific paper

Some cosmological hypotheses predict the existence of a huge amount of invisible exotic matter in the universe. This conclusion, however, depends strongly on the cosmological model. In homogeneous isotropic world models with Euclidean or spherical space metric and with a zero cosmological constant, the mass of the observed matter contributes only a few percent to the matter density which is required for these models. This is the problem of the "missing mass". A positive value of the cosmological constant, however, allows one to construct models without any "missing mass". These models represent the observed boundary conditions (observed matter density, Hubble parameter, age of the universe). Models with spherical or Euclidean metric permit the determination of the value of the cosmological constant within a small error margin. This does not involve special conditions for our present epoch.

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