Solitons in the Einstein universe
arXiv:1910.10216 · doi:10.1103/PhysRevD.101.043515
Abstract
We show that equations of Newtonian hydrodynamics and gravity with Einstein's cosmological constant included admit gravitostatic wave solutions propagating in the background of Einstein's static Universe. In the zero pressure limit these waves exist at an average matter density exceeding that of Einstein's Universe. They have the form of a lattice of integrable density singularities localized at the maxima of the gravitational potential. These singularities are steady-state counterparts of the so-called Zeldovich pancakes (ZP), interim wall-like structures appearing at nonlinear stages of development of gravitational instability. As the average matter density decreases, the period of the ZP lattice increases diverging at the density of Einstein's Universe. Solitary wave solutions are found at exactly the density of Einstein's Universe, and at a slightly larger density the wave may be viewed as a lattice of well-separated ZP solitons.
arXiv comment7 pages, 3 figures, slight change of the title, minor changes of the text, version to be published in Phys. Rev. D
References in corpus (8)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- The Case for a Positive Cosmological Lambda-term
- The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
- New Parallaxes of Galactic Cepheids from Spatially Scanning the Hubble Space Telescope: Implications for the Hubble Constant
- Nonlinear plasma waves in an electron gas
- Cosmology with type-Ia supernovae
- Steady flows, nonlinear gravitostatic waves and Zeldovich pancakes in a Newtonian gas