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Superposition of solutions in general relativity

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Geometric Aspects of the Einstein Equations and Integrable Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 239))

Abstract

Conditions are established under which the Einstein equations of General Relativity behave like linear equations in the sense that the sum of an exact and an approximate solution is a new exact solution. Superposition theorems are obtained for the vacuum Einstein equations with and without cosmological constant, the coupled Einstein-Maxwell equations, and the Einstein equations for a perfect fluid.

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References

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Authors and Affiliations

  1. Department of Physics, University of Crete and Research Center of Crete, Iraklion, Greece

    Basilis C. Xanthopoulos

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  1. Basilis C. Xanthopoulos
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R. Martini

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© 1985 Springer-Verlag

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Xanthopoulos, B.C. (1985). Superposition of solutions in general relativity. In: Martini, R. (eds) Geometric Aspects of the Einstein Equations and Integrable Systems. Lecture Notes in Physics, vol 239. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16039-6_3

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  • DOI: https://doi.org/10.1007/3-540-16039-6_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16039-7

  • Online ISBN: 978-3-540-39713-7

  • eBook Packages: Springer Book Archive

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