### Abstract

We perform numerical computations to investigate the dynamical evolution of axisymmetric gravitational waves in asymptotically de Sitter spacetime. The final fates of such spacetimes are classified into two types: (1) de Sitter spacetime with small perturbations, and (2) Schwarzschild de Sitter like spacetime with both black-hole and cosmological apparent horizons. We also find that if the mass of gravitational waves is larger than the critical value, Mcrit(3) -1, then the black hole is not formed even in the case that there exist highly nonlinear localized gravitational waves. In such a case, the Universe is initially dominated by gravitational waves rather than a cosmological constant and eventually approaches a de Sitter universe. These results are consistent with the previous analysis by use of initial data.

Original language | English |
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Pages (from-to) | 708-719 |

Number of pages | 12 |

Journal | Physical Review D |

Volume | 50 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1994 Jan 1 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*50*(2), 708-719. https://doi.org/10.1103/PhysRevD.50.708