http://arxiv.org/abs/2209.01008
We considered a vacuum polarization inside a galaxy in the eikonal approximation and found that two possible types of polarization exist. The first type is described by the equation of state $p=\rho/3$, similar to radiation. Using the conformally-unimodular metric allows constructing a nonsingular solution for this vacuum
substance'', if a compact astrophysical object exists in the galaxy's center. As a result, adark” galactical halo appears that increases the rotation velocity of a test particle as a function of the distance from a galactic center. The second type of vacuum polarization has a more complicated equation of state. As a static physical effect, it produces renormalization of the gravitational constant, thus, causing no static halo. However, a nonstationary polarization of the second type, resulting from an exponential increase (or decrease) of the galactic nuclei mass with time in some hypothetical time-dependent process, produces a gravitational potential looking like a dark matter halo.
S. Cherkas and V. Kalashnikov
Mon, 5 Sep 22
39/53
Comments: 16 pages, 6 figures
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