An Effect Exclusively Generated by General Relativity Could Explain Dark Matter

It has been demonstrated that dark matter can theoretically be completely explained by a natural effect of General Relativity (GR) without exotic matter or exotic correction as MOND, an effect that exists exclusively in GR and which is traditionally considered negligible. We give the values of this effect necessary to fully explain the dark matter component. In the framework of GR, this solution is mathematically as valid and legitimate as the hypothesis of an “ad hoc” addition of exotic material. The difference between these 2 solutions is revealed in physical terms. Physically the hypothesis of a new material generates a first difficulty since it requires the creation of a new physical entity whereas in our solution there is no creation of a new physical entity. A second difficulty is that this dark matter generates major problems of physical coherence: its quantity which is not a simple correction of our physics (despite the theory of gravitation was formed without this dominant gravitational component), its distribution (the galaxies must be filled with this matter and yet at our scale, physics does not need dark matter and has never been faulted), its insensitivity to electromagnetism (EM) therefore without interaction with photons (unlike all known physical entities, hence its name qualified as exotic or dark). Our solution of a larger-than-expected GR effect avoids all these difficulties. We show that its value, even if it is higher than expected, remains low. Its mathematical expression then implies that its effects are only detectable for structures with very large radii and very high velocities. This dark component then appears to be a negligible effect at our scale in terms of quantity despite its omnipresence; only the large structures of the Universe can reveal it. Finally, this effect is naturally not sensitive to the EM because it is the 2nd component of the gravitational field of the GR (in the same way as the Newtonian field). We also show that this effect can be obtained by clusters of galaxies. Indeed, we calculate the value of this effect produced by the brightest cluster galaxy (BCG). This value corresponds to the order of magnitude expected to explain dark matter. This result constitutes an important point of this study because it removes the main lock, the main physical difficulty of this solution, namely the source of such a field of low magnitude but still greater than expected.