Astrophysics

   

A New Dark Matter Density Profile for Milky Way Which Depends on 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. Also were proposed several experimental test to check that theory. 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 dark matter density profile 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 density 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 and finally [7] Abarca, M.2016 A new Dark Matter Density Profile for Milky Way. 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 [8] Huang,Y.2016. In fourth chapter, it has been calculated and tabulated gravitational field through Virial theorem, which is a direct calculus having velocity data depending on radius. In this paper, dominion of gravitational E extends from 26 kpc to 100 kpc. In fifth epigraphs it has been tabulated data of NFW DM density profile published by [8] Huang, Y.2016. for Milky Way. In sixth 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 DM density = A• E^B .Where A= 5.1085837 •10^-7 and B= 1.568156686 being regression coefficient r= 0.9886366654 into I.S. of units. In seventh 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 below 16% inside main part of dominion. In eighth epigraph it is considered derivative of gravitational field in halo region (26 to 100 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 of D.M = A•E^B. In ninth epigraph Bernoulli and NFW DM density profiles have been compared. Its relative differences are below 18% for radius lower than 70 kpc. This is a superb result, especially if it is considered that NFW profile come from calculus got through experimental data with important errors. In tenth epigraph are introduced a study of ancient and recent measures of local dark matter also it is calculated local dark matter through power of E formula. Finally it is concluded that the new one value of local dark matter is similar to local dark matter values published currently.

Comments: 19 Pages. 19 pgs.

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Submission history

[v1] 2016-06-01 11:54:19

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