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A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data

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Abstract

Given a time symmetric initial data set for the vacuum Einstein field equations which is conformally flat, it is shown that the solutions to the regular finite initial value problem at spatial infinity extend smoothly through the critical sets where null infinity touches spatial infinity if and only if the initial data coincides with Schwarzschild data.

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Authors and Affiliations

  1. School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, United Kingdom

    Juan Antonio Valiente Kroon

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  1. Juan Antonio Valiente Kroon
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Correspondence to Juan Antonio Valiente Kroon.

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Communicated by P.T. Chruściel

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Valiente Kroon, J.A. A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data. Commun. Math. Phys. 298, 673–706 (2010). https://doi.org/10.1007/s00220-010-1002-2

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  • DOI: https://doi.org/10.1007/s00220-010-1002-2

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