Black holes associated with galaxies

Physics

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Scientific paper

A small and a large black hole are naturally associated with a galaxy of total mass M and spherical halo radius R. Also of mass M, the large black hole is a spatial contraction of the galaxy down to its Schwarzschild radius, r → λr, with λ= 2GM/c 2R, where G/c 2=4.78×10-17 kpc/ M &sun; is Newton's gravitational constant divided by the speed of light squared. The small black hole is the r → λr contraction of the large hole, i.e., the iterated double contraction of the galaxy itself, with the resulting mass m=λM=2GM 2/c2R. In the case of the Milky Way ( M=7.0×1011 M &sun; and R=15 kpc) the latter equation for the small black hole mass yields m=3.1×106 M &sun;, which is close to the observed value for the mass of the black hole at the center of the Milky Way. Black holes of the small type may evolve to the large by mass accretion, perhaps during a quasar phase. Vast regions of the universe may in fact be populated by large black holes—“missing mass”—which validates the cosmological principle and effects the closure of the universe.

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