Authors: Manuel Abarca Hernandez
For last two years I have published eight papers about DM on galaxies. Data have been taken from recent papers written by prestigious researches. The main target of papers have been to calculate DM density through an original profile called Bernoulli profile and check its results with other standard DM profiles such as NFW, Burket or Pseudo-Isothemal. Results on every galaxy checked have been successful. The importance these works is that Bernoulli profile is supported by an original hypothesis about Dark matter nature. This hypothesis stated that dark matter is generated locally by gravitational field, E, according an unknown quantum mechanism. Formula which relates DM density and gravitational field is DM density = A•E^B. Where A & B are parameters. Now , in this paper Dark matter density in Coma cluster will be studied with the same method. Briefly is going to be explained the structure of this paper. Firstly are presented data Coma Cluster, which come from recent papers published in 2016. They are two couples of radius and mass enclosed by its sphere. Radius considered are R500 = 1.314 Mpc and Virial radius = 3.1 Mpc With only two couple of data is fitted NFW profile for Dark matter density in Coma cluster within an interval radius 1.314 Mpc to 3.1 Mpc. NFW profile is an intermediate processes to get A & B parameters of formula DM density = A•E^B. Finally it is got a Bernoulli differential equation for E whose solution gives DM density Bernoulli profile and whose dominion extend up to 14 Mpc. As it is known DM through NFW profile gives an excessive amount of DM within halo up to 14 Mpc. This is the reason why I have tried with Bernoulli profile. According Chernin,A. 2013. At cluster scale is needed to consider dark energy, gravitating mass and matter mass. This formula relates three masses. MG (R) = MM (R) + MDE (R) .Dark energy is a negative quantity. So gravitating mass, which is the mass measured by observation is lower than mass matter which is baryonic mass plus dark matter. Result got as gravitating mass within cluster halo up to 14 Mpc through DM calculated with Bernoulli profile is 2.25• 10 ^15 Solar masses and differ only 6% regarding gravitating mass got by Geller M.J. & Diaferio A. 1999 whereas gravitating mass got with NFW differ more than 600%.
Comments: 18 Pages. In V2 DM has been got by analitical integration instead numerical. Calculus and observation differ 6% instead 8 %.
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[v1] 2016-07-22 17:00:55
[v2] 2016-07-25 11:50:59
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