Dynamical evolution of gravitational waves in the asymptotically de Sitter space-time

Nov, 1993
37 pages
Published in:
  • Phys.Rev.D 50 (1994) 708-719
Report number:
  • KUNS-1228,
  • OU-TAP-2,
  • YITP-K-1040,
  • WU-AP-35-93

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Abstract: (APS)
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 √Λ )−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 Λ and eventually approaches a de Sitter universe. These results are consistent with the previous analysis by use of initial data.
  • gravitational radiation
  • space-time: de Sitter
  • black hole
  • astrophysics: horizon
  • symmetry: axial
  • numerical calculations