TY - JOUR

T1 - Dynamical evolution of gravitational waves in asymptotically de Sitter spacetime

AU - Shibata, Masaru

AU - Nakao, Ken Ichi

AU - Nakamura, Takashi

AU - Maeda, Kei Ichi

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0011606068&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011606068&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.50.708

DO - 10.1103/PhysRevD.50.708

M3 - Article

AN - SCOPUS:0011606068

SN - 0556-2821

VL - 50

SP - 708

EP - 719

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

IS - 2

ER -