Scalar-Field Potential Distribution for a Closed “Thick” Null String Moving in the Plane z = 0

Динамика Пробной Нуль-Струны В Гравитационном Поле Замкнутой Нуль-Струны, Радиально Коллапсирующей В Плоскости

“…В цилиндрической системе координат x 0 = t, x 1 = ρ, x 2 = θ, x 3 = z квадратичную форму, которая описывает гравитационное поле замкнутой ("размазанной") нуль-струны, радиально коллапсирующей в плоскости z = 0, можно представить в виде [19], [20] dS…”

On the Possibility of the Formation of Particles with a Nonzero Rest Mass in the ``Gas'' of Null-strings

“…The study of the test null-string motion carried out in [17][18][19][20][21] suggests that a number of interesting properties of null-string gas can exist. For example, the formation of stable structures in a space filled with null-string gas [17].…”

“Null String” Gas Cosmology: 1st Steps

“…In the articles [17][18][19][20][21], the gravitational field of solitary closed null strings was investigated, the trajectories of which do not change over time. Namely, in the articles [20,21] a solution of the Einstein equations was found for a closed null string of constant radius, which moves along the z axis and at each moment of time t lies entirely in the plane orthogonal to this axis.…”

“…In the articles [17][18][19][20][21], the gravitational field of solitary closed null strings was investigated, the trajectories of which do not change over time. Namely, in the articles [20,21] a solution of the Einstein equations was found for a closed null string of constant radius, which moves along the z axis and at each moment of time t lies entirely in the plane orthogonal to this axis. In the articles [17][18][19], solutions are given that describe the gravitational field of a solitary closed null string, for the cases in which the null string radially increases or radially decreases its size (radius).…”

“…Namely, in the articles [20,21] a solution of the Einstein equations was found for a closed null string of constant radius, which moves along the z axis and at each moment of time t lies entirely in the plane orthogonal to this axis. In the articles [17][18][19], solutions are given that describe the gravitational field of a solitary closed null string, for the cases in which the null string radially increases or radially decreases its size (radius). One of the results of these papers is the statement that the flat Minkowski space cannot be considered as an asymptotic for such gravitational fields.…”