On the Collision of Relativistic Shock Waves and the Large Scale Structure of the Universe

Alexander Golubiatnikov,Daniil Lyuboshits

doi:10.3390/universe6110214

Abstract

The solution to the problem of symmetric collision of two relativistic shock waves is given and limiting cases are investigated: Newtonian mechanics and ultrarelativistic mechanics. The results are correlated with the presence of known superclusters and "walls" in the Universe.

Highlights

The solution to the problem of symmetric collision of two relativistic shock waves is given and limiting cases are investigated: Newtonian mechanics and ultrarelativistic mechanics
Taub [6], who solved the self-similar problem of shock wave formation during the collapse of “dust” without annihilation reaction
Exact solutions of not self-similar problems with annihilation shock wave were given by us [7,8,9,10,11] with the formation of homogeneous Friedman spread with the symmetry group G6 or a non-homogeneous Gutman–Bespalko radial acceleration with the group G4

Summary

The Scenario of the Big Bang

The Big Bang theory of the Universe, associated with the interpretation of Hubble’s observations [1], the foundations of which were laid by G. The conditions under which annihilation began could have occurred during the preliminary gravitational compression of a mixture of matter and antimatter. If we turn to Newtonian gas dynamics [18], the solution of the problem of the collision of two flat strong (without significant counter pressures) shock waves gives a pressure gain coefficient equal to κ=. Even in the Newtonian case, the collision of shock waves can lead to a 10-fold compaction, which makes the model at least partially suitable for use as a scenario for the formation of large cosmic walls, some of which are so large that they are not compatible with the cosmological principle according to all existing estimates. Single shock wave by dividing by 1 − v2 /c2 or multiplying by temperature (they are related), and in a collision of shock waves, as can be expected, by dividing by the square of the same root (see below)

Relativistic Hydrodynamics of Perfect Gas and Radiation

Collision of Shock Waves

Weak Incident Shock Wave

Strong Shock Wave

A Strong Wave of Annihilation

Conclusions