A new proof of nonlinear stability of de Sitter space yields a precise conformal-boundary expansion and a bijection between nearby solutions and prescribed scattering data on the boundary.
The asymptotically self-similar regime for the Einstein vacuum equations
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The leading-order late-time asymptotic for linear waves on radially symmetric stationary perturbations of (2+1)-Minkowski space is proportional to u^{-1/2}v^{-1/2}.
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Stability of de Sitter Space and Expansion at the Conformal Boundary
A new proof of nonlinear stability of de Sitter space yields a precise conformal-boundary expansion and a bijection between nearby solutions and prescribed scattering data on the boundary.
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Late-time tails for linear waves on radially symmetric stationary spacetimes of two space dimensions
The leading-order late-time asymptotic for linear waves on radially symmetric stationary perturbations of (2+1)-Minkowski space is proportional to u^{-1/2}v^{-1/2}.