Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-01-26
Phys.Lett.B679:306-310,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Final version. To be published in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2009.07.068
Considering a five-dimensional (5D) Riemannian spacetime with a particular stationary Ricci-flat metric, we obtain in the framework of the induced matter theory an effective 4D static and spherically symmetric metric which give us ordinary gravitatory solutions on small (planetary and astrophysical) scales, but repulsive (antigravity) forces on very large (cosmological) scales with \omega = -1. Our approach is an unified manner to describe dark energy, dark matter and ordinary matter. We illustrate the theory with two examples, the solar system and the great attractor. From the geometrical point of view, these results follow from the assumption that exists a confining force that make possible that test particles move on a given 4D hypersurface.
Bellini Mauricio
Madriz Aguilar Jose Edgar
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