Capture of the free-floating planets and primordial black holes into protostellar clouds

The capture of the free-floating planets and primordial black holes into a collapsing protostellar cloud is considered. Although the last stage of rapid contraction leading to the star formation lasts for a relatively short time $\sim 10^5$ years, during this time there is a strong change in the gravitational potential created by the movement of the entire cloud's mass ($\sim M_\odot$). As a result, the probability of capturing an object into a contracting cloud is comparable to the probability of capturing into an already formed planetary system. Taking into account the collapse of the cloud increases by 70% the full probability of the planets capture at the orbits with large semi-axis $a<10^3$ au. Capture in the cloud can explain the wide inclined orbit of the supposed 9th planet in the solar system. At the same time, the probability of primordial black holes capturing from the galactic halo into a contracting cloud is extremely small.Comment: 5 pages, 3 figure

Escape from a black hole with spherical warp drive

In this paper, a class of the warp drive (WD) type metrics is proposed in the form of spherical and plane waves or shells. In particular, these metrics can describe the passage of spherical WD through the horizon of a black hole from the inside out. In this metrics, non-singular evolution of physical fields is possible, which is demonstrated by examples of scalar, vector and fermion fields. The passage of a warp-wave through the fields is accompanied by soliton-like configurations (kinks). The limiting case of Planck-scale WD can lead to the evaporation of singularities inside black holes with the escape of particles and information into outer space, and the EPR=WD conjecture can also be proposed.Comment: 7 pages, 2 figures, misprints correcte