TRAPPED HOT DARK MATTER IN THE SHELL AROUND THE COMPACT OBJECT

The model of the compact object is considered, being alternate to the black hole. In the model, the accreting protons decay at the Planck scale into positrons and hypothetical Planck neutrinos. The energy of the particles is split in two modes, low and high. The electrons, positrons and Planck neutrinos with the high energy move away. The electrons and positrons with the low energy form the compact object. The Planck neutrinos with the low energy form the shell around the compact object. The Planck neutrinos moving away may be interpreted as the hot dark matter (HDM). The Planck neutrinos in the shell around the compact object may be interpreted as the trapped hot dark matter (THDM). In a recent paper, the concept of the free fall pressure was introduced. In the effective gravity, including the Newton gravity and the free fall pressure, the THDM is hidden for the massive particles but makes deflection of the massless particles. The THDM can be seen in the gravitational interaction of two shells. The gravitational interaction of the galaxies in the Virgo cluster (M60, M87, M84, M86, M49) is studied. The motion of the galaxies is defined by the THDM masses in the shells around the compact objects in the centres of the galaxies, the stellar masses of the galaxies and the HDM mass in the galaxies. The velocities of M60 and M49 toward M87 are estimated to be 678 km s−1 and 445 km s−1 which are 66% and 59% of the observational values respectively.