On Gravitational Waves and Cosmology

The aim of this letter is to use the theory of general relativity to construct Einstein and Rosen type cosmological waves in order to investigate the behavior of the inhomogeneity of the universe in the initial state of the big bang while clarifying the phenomenon of the acceleration of the observed universe. For this investigation, we use one of the integrable methods known as the inverse scattering method (ISM) Pomeransky’s to solve the Einstein field equations associated with Einstein and Rosen spacetime, whose solution leads to the gravitational soliton. In this dynamic, the gravitational soliton is assimilated to Einstein nd Rosen type cosmological waves, which are responsible for the acceleration of the universe, unlike dark energy, as stipulated by the standard model ΛCDM . Based on this approach, we find that the theory of general relativity, in its original form, is able to predict the existence of gravitons responsible for the inhomogeneity of the universe. This provides a solid basis for the quantification of gravity.