Dark matter is compliant with the general relativity

Stéphane Le Corre (1)

1 Chercheur indépendant

A recent publication demonstrates that statistically the gravitational potential g_obs deduced from the observed rotation curves of the galaxies and the gravitational potential g_bar deduced from the observed distribution of the baryonic mass is strongly correlated. The gravitational potential g_bar verifies the Poisson equation. This result implies that it is strongly likely that the observed baryonic mass must be sufficient to explain the observed rotation curves (i.e. without new exotic matter). Their study also gives accurate values for this gravitational potential and a curve that demonstrates the correlation between g_obs and g_bar. Here, we demonstrate that the equations of the general relativity allow explaining the dark matter in agreement with the results of this publication. In particular, one of their observations gives an empirical relation for weak accelerations. We are going to retrieve this relation in the frame of the general relativity. Furthermore, we will retrieve the observed value and the characteristics of this correlation’s curve. These observations constrain drastically the possible gravitational potential in the frame of the general relativity to explain dark matter. In fact, the gravitational potential presented here and obtained from the relativity general is certainly the unique possible solution without modifying dynamic laws and without dark matter. This solution has already been studied with several unexpected predictions that have recently been verified.

Mots clés: Dark matter and dark energy

Domaines: Astrophysique galactique [astro-ph.GA]

Stéphane Le Corre. Dark matter is compliant with the general relativity. 2016. ⟨hal-01375966v2⟩