Another Gravitational Theory Of Dark Matter Phenomena

Another basically gravitational explanation of dark matter and dark energy. It doesn't fully grapple with the theoretical difficulties associated with massive gravity theories in the literature, but it suffices as yet another proof of concept that it can be done.

We argue that the effect of cold dark matter in the cosmological setup can be explained by the coupling between the baryonic matter particles in terms of the long-range force having a graviton mass m(g) via the Yukawa gravitational potential. Such a quantum-corrected Yukawa-like gravitational potential is characterized by the coupling parameter α, the wavelength parameter λ, which is related to the graviton mass via mg=ℏ/(λc), that determines the range of the force and, finally, a Planck length quantity l(0) that makes the potential regular at the centre. The corrected Friedmann equations are obtained using Verlinde's entropic force interpretation of gravity based on the holographic scenario and the equipartition law of energy. The parameter α modifies Newton's constant as G(eff)→G(1+α). 

We argue that dark matter is an apparent effect as no dark matter particle exists in this picture. Furthermore, the dark energy is also related to graviton mass and α; in particular, we point out that the cosmological constant can be viewed as a self-interaction effect between gravitons. 

We further show that there exists a precise correspondence with Verlinde's emergent gravity theory, and due to the long-range force, the theory can be viewed as a non-local gravity theory. To this end, we performed the phase space analyses and estimated λ≃10^3[Mpc] and α∈(0.0385,0.0450), respectively. 

Finally, from these values, for the graviton mass, we get m(g)≃10^−68 kg, and cosmological constant Λ≃10^−52 m^−2. Further, we argue how this theory reproduces the MOND phenomenology on galactic scales via the acceleration of Milgrom a(0)≃10^−10 m/s^2

Kimet Jusufi, Genly Leon, Alfredo D. Millano, "Dark Universe Phenomenology from Yukawa Potential?" arXiv:2304.11492 (April 22, 2023).