Astrophysical Effects Related to Gravity-Induced Electric Polarization of Matter

The calculations in Thomas-Fermi approximation show that in a gravitational field each cell of ultra dense matter inside celestial bodies obtains a very small positive electric charge. A celestial body is electrically neutral as a whole, because the negative electric charge exists at its surface. The positive volume charge is very small, on the order of magnitude it equals to 10^{-18}e per atom only. But it is sufficient to explain the occurrence of magnetic fields of the celestial bodies and the existence of a discrete spectrum of steady-state values of masses of planets, stars, and pulsars.