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.
Global aspects of the Cauchy problem in general relativity
2 Pith papers cite this work, alongside 341 external citations. Polarity classification is still indexing.
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A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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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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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.