Gravitational waves in expanding universe with cosmological constant

Hisa Aki Shinkai*, Kei Ichi Maeda

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


To investigate the cosmic no hair conjecture, we numerically analyze 1-dimensional inhomogeneous space-times. The spacetimes we study are to be a plane symmetric and vacuum with a positive cosmological constant. Initially we set the inhomogeneities due to gravitational pulse waves and examine the time evolution of the Riemann invariant (3)Rijkl (3)Rijkl and Weyl curvature Cμνρ{variant}σ on each hypersurfaces. We find a temporal growth of the curvature in the interacting regions of waves, but the expansion of the universe later overcomes this effects. Even if we set large Riemann invariant and/or small width scale of inhomogeneity on the initial hypersurface, the nonlinearity of the gravity has little effect and the spacetime results in a flat de-Sitter spacetime.

Original languageEnglish
Pages (from-to)449-452
Number of pages4
JournalVistas in Astronomy
Issue numberC
Publication statusPublished - 1993

ASJC Scopus subject areas

  • Astronomy and Astrophysics


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