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Local Stability to the Einstein-Euler System in Schwarzschild Space-time

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Abstract

We study the Schwarzschild spacetime solutions to the Einstein-Euler equations. In our analysis, we aim to show local stability under small perturbations. To resolve this problem, we use the Nash-Moser (-Hamilton) theorem. The work was originally developed for the nonrelativistic Euler-Poisson equations.

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Acknowledgments

The authors would like to thank the anonymous referees for their careful reading and useful comments.

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Authors and Affiliations

  1. Institute of Applied Physics and Computational Mathematics, Bei**g, 100088, China

    Jun Wu & Bo-ling Guo

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  1. Jun Wu
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  2. Bo-ling Guo
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Correspondence to Jun Wu.

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Wu, J., Guo, Bl. Local Stability to the Einstein-Euler System in Schwarzschild Space-time. Acta Math. Appl. Sin. Engl. Ser. 38, 352–367 (2022). https://doi.org/10.1007/s10255-022-1082-8

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  • DOI: https://doi.org/10.1007/s10255-022-1082-8

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