Astrophysics

   

A New Dark Matter Density Profile for Milky Way to Demonstrate that Dark Matter is Generated by Gravitational Field

Authors: Manuel Abarca Hernandez

The main target this paper is to check a theory about dark matter nature, which was published by the author in previous papers. It was postulated it that dark matter density is a function which depend on E, gravitational field. In this work has been calculated a new function for DM density for Milky Way. Reader could think, why disturb me with a new DM density profile, called Bernoulli profile in this paper, whose values have relative differences with NFW ones below 15%? The reason is clear. This DM profile has been got starting from hypothesis that DM is generated by the own gravitational field. Therefore if DM Bernoulli profile fits perfectly to NFW DM profile then it is possible conclude that observational data supports author´s hypothesis about DM nature. To find reasons that author has to do so daring statement, reader can consult [1] Abarca,M.2014. Dark matter model by quantum vacuum. [2] Abarca,M.2015. Dark matter density function depending on gravitational field as Universal law. [3] Abarca,M.2015. A new dark matter density profile for NGC 3198 galaxy to demonstrate that dark matter is generated by gravitational field. [4] Abarca, M.2016.A New Dark Matter Density Profile for M33 Galaxy to Demonstrate that Dark Matter is Generated by Gravitational Field. [5] Abarca, M.2016.A New Dark Matter Density Profile for M31 Galaxy to Demonstrate that Dark Matter is Generated by Gravitational Field. Briefly will be explained method followed to develop this paper. Firstly are presented rotation curve and table with data about rotational velocity depending on radius inside Milky Way galaxy. These data come from [6] Sofue,Y.2015. In fourth epigraph, velocity data has been fitted as power function depending on radius. In fifth chapter, it has been calculated and tabulated gravitational field through Virial theorem, which it is got as a direct calculus having velocity data depending on radius. In this paper, dominion of gravitational E extends from 30 kpc to 200 kpc. In sixth epigraphs it has been tabulated data of NFW DM density profile published by [6] Sofue, Y.2015. for Milky Way. In seventh epigraph has been fitted data of NFW DM density profile as power of gravitational field, E, with a correlation coefficient bigger than 0,999. Particularly formula found is Density of D.M = A•E^B .Where A = 7.310686 •10-7 B= 1,59883364 and correlation coefficient r = 0,9997776774 into I.S. of units. In eighth epigraph it has been compared DM density as power of E and NFW profiles. Tables and plots show clearly that relative differences between both profiles are almost everywhere below 6%. In ninth epigraph it is considered derivative of gravitational field in halo region (30 to 200 kpc) where density of baryonic matter is negligible regarding DM density. As consequence M´(r)= 4Pi•r^2•D.M Density and considering that Density of D.M = A•E^B then. M´(r) = 4Pi • r^2 •A•E^B. If M´(r) is replaced on derivative of E (r) then it is got a Bernoulli differential equation whose solution allows to get a new DM density profile through formula Density of D.M = A•E^B. In tenth epigraph Bernoulli and NFW DM density profiles have been compared. Its relative differences are below 16% for radius bigger than 60 kpc, and below 18% in the whole dominion, from 30 kpc to 200 kpc. This is a superb result, specially if it is considered that Do parameter of NFW profile has 40 % as relative error and velocity measures of rotation curve have error bigger than 15% in the whole dominion.

Comments: 18 Pages.

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Submission history

[v1] 2016-02-04 12:09:29

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