Affiliation:
1. Department of Mathematics, ETH Zürich, Rämistrasse 101, Zürich 8092, Switzerland
Abstract
In space–time dimensions
n
+
1
≥
4
, we show the existence of solutions of the Einstein vacuum equations which describe asymptotically de Sitter space–times 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 of Friedrich and Anderson to all dimensions.
This article is part of a discussion meeting issue ‘At the interface of asymptotics, conformal methods and analysis in general relativity’.
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1. At the interface of asymptotics, conformal methods and analysis in general relativity;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-01-15