Twin universes cosmology (Q1905368)

Starting from the field equations \({\mathbf S} = \chi({\mathbf T} - A({\mathbf T}))\), presented in a former paper [the author, Nuovo Cimento B 109, 697-710 (1994)], we present a test result, based on numerical simulations, giving a new model applied to the very large structure of the universe. A theory of inverse gravitational lensing is developed, in which the observed effects could be due mainly to the action of surrounding `antipodal matter'. This is an alternative to the explanation based on dark matter existence. We then develop a cosmological model. Because of the hypothesis of homogeneity, the metric must be a solution of the equation \({\mathbf S} = 0\), although the total mass of the universe is non-zero.