Abstract
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. At the non-relativistic level a MOND-like theory with a modification in the force sector is obtained, which is the 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 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 use 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.
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Acknowledgements
This work was supported by two DGAPA-UNAM grants (PAPIIT IN116210-3 and IN111513-3). DAC, SM and LAT thank support granted by CONACyT: 48014, 26344 and 221045.
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Carranza, D.A., Mendoza, S. & Torres, L.A. A cosmological dust model with extended f(χ) gravity. Eur. Phys. J. C 73, 2282 (2013). https://doi.org/10.1140/epjc/s10052-013-2282-4
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DOI: https://doi.org/10.1140/epjc/s10052-013-2282-4