1208.3408 (S. Mendoza)

Extending cosmology: the metric approach    [PDF]

S. Mendoza

Introducing a fundamental constant of nature with dimensions of acceleration into the theory of gravity makes it possible to extend gravity in a very consistent manner. In the non-relativistic regime a MOND-like theory with a modification in the force sector is obtained, which is the weak-field limit of a very general metric relativistic theory of gravity. Since the mass and length scales involved in the dynamics of the whole universe require small accelerations of the order of Milgrom's acceleration constant (\mathsf{a}_0), it turns out that the relativistic theory of gravity can be used to explain the expansion of the universe. In this work it is explained how to built that relativistic theory of gravity in such a way that the overall large-scale dynamics of the universe can be treated in a pure metric approach without the need to introduce dark matter and/or dark energy components.

View original: http://arxiv.org/abs/1208.3408