Asymptotically de Sitter metrics from scattering data in all dimensions

Peter Hintz

Asymptotically de Sitter metrics from scattering data in all dimensions

General Relativity and Quantum Cosmology 2023-11-07 v1 Analysis of PDEs

Authors: Peter Hintz

Abstract

In spacetime dimensions $n+1\geq 4$ , we show the existence of solutions of the Einstein vacuum equations which describe asymptotically de Sitter spacetimes with prescribed smooth data at the conformal boundary. This provides a short alternative proof of a special case of a result by Shlapentokh-Rothman and Rodnianski, and generalizes earlier results by Friedrich and Anderson to all dimensions.

Keywords

de sitter spacetime general relativity spacetime geometry

Cite

@article{arxiv.2311.02739,
  title  = {Asymptotically de Sitter metrics from scattering data in all dimensions},
  author = {Peter Hintz},
  journal= {arXiv preprint arXiv:2311.02739},
  year   = {2023}
}

Comments

14 pages, 1 figure. To appear in Phil. Trans. A; related to a talk at the Royal Society meeting "At the interface of asymptotics, conformal methods and analysis in general relativity", London, May 9-10, 2023

Asymptotically de Sitter metrics from scattering data in all dimensions

Abstract

Keywords

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