Neutrino electromagnetic properties and new physics

New effects of nontrivial neutrino electromagnetic properties are investigated on the basis of exact solutions of the modified Dirac equations for neutrinos in dense magnetized rotating matter. The effect of spatial separation of different types of neutrinos and antineutrinos (different in flavors and energies) moving inside dense magnetized rotating matter is predicted. We also describe a new mechanism of a star rotation frequency shift by neutrinos escaping the star (termed "Neutrino Star Turning" mechanism, $\nu S T$). The $\nu S T$ mechanism can explain the origin of pulsar "anti-glitches" and ordinary glitches as well. Considering a possible effect of the $\nu S T$ mechanism on speeding up of a pulsar together with the observational data on pulsars, we obtain a new limit on a neutrino millicharge $q_{\nu}<1.3\times10^{-19}e_0$ that is one of the strongest limits on this value obtained in astrophysics.