# Dark matter

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Corresponding Wikipedia article: Dark matter

The heavy celestial bodies and especially the galactic centers have their own aetheric macrovortices. The high field power within the galactic center produces the synchrotron radiation.

The same electric charge sign of these vortices prevents a collision of the star systems and the galaxies together.

Assuming that the galactic magnetic field has the usual vortical form, the magnetic flux density at a sufficiently long distance $$r$$ from the center can be estimated as: $|\mathbf{\overrightarrow{B}}|=\frac{B_0}{r}\tag{1}$ Then the density of matter, which is called the dark matter of galaxies, is expressed as: $\rho=\varepsilon_0|\mathbf{\overrightarrow{B}}|^2=\frac{\varepsilon_0B_0^2}{r^2}\tag{2}$ Considering the galactic halo as a sphere of radius $$R$$, the dark matter mass is estimated as: $M=\int{\rho\mathrm{d}V}=4\pi\int_0^R{\rho r^2\mathrm{d}r}=4\pi\varepsilon_0B_0^2R\tag{3}$

The dark matter of the spiral galaxies produces almost the same linear speed of all the stars, which rotate around the center regardless of their distance to the center.

Assuming the symmetrical galactic mass distribution, a point mass at a distance $$r$$ from the galactic center will experience only the gravity of mass within a sphere of radius $$r$$. Thus, assuming that the dark matter makes up most of the galactic mass, the equation of the transverse (normal) acceleration of a point mass is: $\frac{v^2}{r}=G\frac{4\pi\varepsilon_0B_0^2r}{r^2}\tag{4}$ $v=2\sqrt{\pi\varepsilon_0G}B_0=const\tag{5}$ The substitution into (3) and (5) for our galaxy $$M\approx$$ 6·1042 kg, $$R\approx$$ 5·1020 m, $$v\approx$$ 2·105 m/s gives the value $$B_0$$ about 1016 T. The resulting values of the magnetic flux density (1) about 10-5…10-4 T (0,1…1 G) for the Solar system are comparable with the magnetic fields of Sun and planets. Such large values explain a hypothesis about the changing of the magnetic poles of Earth in sync with its axial precession, because Earth's axis changes its inclination to the galactic plane during the precession cycle.

The Solar system with its own magnetic field significantly compensates the galactic magnetic field, which is fully detectable only outside the Solar system. The IBEX satellite in 2009 had discovered at the boundary of Solar system a high magnetic field, which blocks the solar wind. Thus, the material radiation of the stars stays near them and does not propagate across the galaxy.

The gravitational waves have been detected in form of the weak mechanical pulses after a quick merging of two black holes, which was accompanied by the huge energy loss. The significant part of the black hole or neutron star (pulsar) masses is the concentrated dark matter, so their lost energy causes a magnetic wave, which has the mechanical properties (density, pressure) and propagates within the Galaxy. The gravitational waves, which were predicted by the General relativity and are emitted by any object moving with variable acceleration, were not found.