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Solution of Einstein's equations for a closed null string with axial symmetry, radially increasing its size

A. P. Lelyakov, O. V. Haneychuk

Moscow University Physics Bulletin 2020. N 1.

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In this work, we have found a solution to the Einstein equations for a closed null string with axial symmetry, which radially increases its size. The possibility of choosing the ideal gas of null-strings as a dominant source of gravity is confirmed in the study of the null-string inflation mechanism in Friedman-Robertson-Walker spaces. The absence of a limit transition between the solution found and the solution for a closed null string in shape of a circle that changes its size radially is shown. This indicate a stability of configuration of a closed null string in shape of a circle during motion in an external gravitational field. It has been noted that a part of characteristics of null string gas, such as an ability to form a domain structure and an existence of stable polarized states (multi-string systems), does not depend on a shape of a null-string, but the dynamics of a test null string in a field of such a multi-string system will have peculiarities.

Received: 2019 July 31
Approved: 2020 June 1
PACS:
04.20.Jb Exact solutions
11.27.+d Extended classical solutions; cosmic strings, domain walls, texture
Rissian citation:
А. П. Леляков, О. В. Ханейчук.
Решение уравнений Эйнштейна для замкнутой нуль-струны с осевой симметрией, радиально увеличивающей свой размер.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2020. № 1. С. 18.
Authors
A. P. Lelyakov, O. V. Haneychuk
$^1$Crimean Federal University
Issue 1, 2020

Moscow University Physics Bulletin

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