Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational two solitons in Levi-Civita spacetime   Applying the Pomeransky inverse scattering method to the four-dimensional
vacuum Einstein equations and using the Levi-Civita solution as a seed, we
construct a two-soliton solution with cylindrical symmetry. In our previous
work, we constructed the one-soliton solution with a real pole and showed that
the singularities that the Levi-Civita background has on an axis can be removed
by the choice of certain special parameters, but it still has unavoidable null
singularities, as usual one-solitons do. In this work, we show that for the
two-soliton solutions, any singularities can be removed by suitable
parameter-setting and such solutions describe the propagation of gravitational
wave packets. Moreover, in terms of the two-soliton solutions, we mention a
time shift phenomenon, the coalescence and the split of solitons as the
nonlinear effect of gravitational waves.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph