Unorthodox solutions of Einstein equations for description of dark matter

EMANUEL GALLO; GESER FEDERICO; MORESCHI OSVALDO

Varsovia

Conferencia; GR20, 20th International Conference on General Relativity; 2013

International Society on General Relativity and Gravitation

An unsolved problem in the study of dark matter is that when using different techniques;as for example, dynamical studies of galaxies in a cluster, and weak lensing on background images; one find no coincidence in the mass content of the galaxycluster.In a previous study of weak lensing we have noticed that a spacelike contributionof the energy-momentum tensor has been neglected in standard works by further assumptions.Motivated by this, we have shown exact solutions of the field equations, which are static and spherically symmetric, with no mass content, but with a non-vanishing spacelike componentsof the stress-energy-momentum tensor; which describe the main aspects of dark matter phenomena.In this work we improve on this model by including an energy-momentum tensor whose mass content matches the predictions of dynamical studies of a cluster of galaxies and also adjusts for the weak lens description of the images in the background.We will comment on the peculiar spacelike components of the energy-momentum.