This paper develops carefully an original theory of dark matter, whose main hypothesis is that DM is generated by the own gravitational field. This work introduces the best version of the theory physical and mathematically, which has been developed and published since 2013.The hypothesis of DM by gravitation has two main consequences: the first one is that the law of DM generation has to be the same, in the halo region, for all the galaxies and the second one is that the haloes are unlimited so the total DM goes up without limit. Both properties are crucial for the success of this theory. This work has two newness: it is demonstrate that Direct mass comes from Bernoulli mass formula when it is considered an initial point belonging to the Buckingham halo curve, (ideal curve related to dynamical equilibrium), to calculate the parameter C. The second one is two astonishing calculus of masses in LG. This work begins studying the Rotation curves, from M31 and MW, published by Sofue,Y.2015 and 2020 . The regression curves at halo region are fitted with power regression functions whose exponents are the same for both galaxies.By the fitted function is possible to calculate a dark matter density function depending on radius which is transformed into a DM density depending on gravitational field. This change is the core of the theory because at such moment it is possible to study the formula of dark matter density by the Buckingham theorem in order to change the statistical calculus by physical formulas which depend on the Universal constants G, h and c. From now on the statistical theory becomes a perfect physical theory that despite it is based on the Newtonian framework allows to get new formulas for DM density and for total mass, including DM.In chapters 11, 12 and 13 are calculated the parameters a for MW, M33 and LCM galaxies. In chapter 14 is calculated the mass of MW and M31 at 770 kpc (4,97E+12 Msun) that match with current value 5E+12 Msun and the total mass of L.G. at 3 Mpc ( 9,8E+12 Msun), which match with results got by the well known researchers, [17] Fattahi, Navarro.2020. In chapter 15, is shown a method to extend the theory to cluster of galaxies and chapter 16 is dedicated to show how DM is counter balanced by dark energy with negative mass.