The peculiarities of the inverse square law of Newtonian gravity in standard Big Bang Cosmology are discussed. We take a heterodox approach to the ΛFRW Cosmology starting from the modification of Newtonian gravity by explicitly incorporating Mach's Principle through an additional term large-scale in the gravitation as the inverse Yukawa-like field; the source of this field is the ordinary baryonic matter, and represents the large-scale contribution of gravity. The results show that at the after of the matter-radiation decoupling, the distribution of matter at scales greater than 10Mpc contributes with an inverse Yukawa-like field, in agreement with astronomical and laboratory observables: resulting null in the inner solar system, weakly attractive in ranges of interstellar comoving distances, very attractive in comoving distance ranges comparable to the clusters of galaxies, and repulsive in cosmic scales. This additional term explains dark energy, removes the incompatibility between the density of matter and the flatness of the universe; allows the theoretical deduction of the Hubble-Lemaitre Law, and the Hubble parameter as . Also predicts a graviton mass of at least 10-64 kg. Additionally to discuses other relevant astrophysics consequences: Birkhoff Theorem, Virial Theorem, the missing mass of Zwicky, Jeans masses, angular diameters distance distributions, gravitational lenssing, the BAO and important contribution of the gravitational redshift in AGN. Also we show the crude explanations of Pioneer anomaly. It is concluded that the dark energy and the missing cold dark mass can be approached with the usual physics as the large-scale modification of the Inverse Square Law of Newton Gravity.
Keywords: Mach's Principle; Dark Matter; Dark Energy; gravity; graviton mass; LFRW cosmology; Hubble-Lemaitre Law. AGN: Gravitational redshift. Pioneer anomaly
The basic ideas of the cosmological model are raised; starting with the phenomenology and physical arguments (2.1) followed by consistency with Eövos-type experiments and the MoND-Milgrom formalism (2.2). In subsection 2.3 to show a brief derivation of the UYF field during decoupling of radiation from matter in the early universe, then the estimation of the graviton mass (2.4) and ends with a discussion of Birkhoff's theorem and general description (2.5).
Large-scale modification of Newtonian gravitation as alternative approach to Dark Matter and Dark Energy