Extending friedmann equations using fractional derivatives using a last step modification technique: The case of a matter dominated accelerated expanding universe
Por:
Barrientos E., Mendoza S., Padilla P.
Publicada:
1 ene 2021
Resumen:
We present a toy model for extending the Friedmann equations of relativistic cosmology using fractional derivatives. We do this by replacing the integer derivatives, in a few well-known cosmological results with fractional derivatives leaving their order as a free parameter. All this with the intention to explain the current observed acceleration of the Universe. We apply the Last Step Modification technique of fractional calculus to construct some useful fractional equations of cosmology. The fits of the unknown fractional derivative order and the fractional cosmographic parameters to SN Ia data shows that this simple construction can explain the current accelerated expansion of the Universe without the use of a dark energy component with a MOND-like behaviour using Milgrom’s acceleration constant which sheds light into to the non-necessity of a dark matter component as well. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Filiaciones:
Barrientos E.:
Instituto de Astronomía, Universidad Nacional Autónoma de México, AP 70-264, Ciudad de México, 04510, Mexico
Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Departamento de Matemáticas y Mecánica, Universidad Nacional Autónoma de México, Ciudad de México04510, Mexico
Mendoza S.:
Instituto de Astronomía, Universidad Nacional Autónoma de México, AP 70-264, Ciudad de México, 04510, Mexico
Padilla P.:
Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Departamento de Matemáticas y Mecánica, Universidad Nacional Autónoma de México, Ciudad de México04510, Mexico
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