TITLE:
Theoretical Deduction of the Hubble Law Beginning with a MoND Theory in Context of the ΛFRW-Cosmology
AUTHORS:
Nelson Falcon, Andrés Aguirre
KEYWORDS:
ΛFRW Cosmology, Hubble Law, MoND, Dark Energy
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.4 No.4,
November
18,
2014
ABSTRACT: We deduced the Hubble law
and the age of the Universe, through the introduction of the Inverse Yukawa
Field (IYF), as a non-local additive complement of the Newtonian gravitation
(Modified Newtonian Dynamics). As a result, we connected the dynamics of
astronomical objects at great scale with the Friedmann-Robertson-Walker ΛFRW)
model. From the corresponding formalism, the Hubble law can be expressed as v= (4π[G]/c)r, which was derived by evaluating the
IYF force at distances much
greater than 50 Mpc, giving a maximum value for the expansion rate of the
universe of H0(max)≈ 86.31 km·s-1Mpc-1, consistent with the
observational data of 392 astronomical objects from NASA/IPAC Extragalactic
Database (NED). This additional field (IYF) provides a simple interpretation of
dark energy as the action of baryonic matter at large scales. Additionally, we
calculated the age of the universe as 11 Gyr, in agreement with recent
measurements of the age of the white dwarfs in the solar neighborhood.