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Proof of a multipole conjecture due to Geroch

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Abstract

A result, first conjectured by Geroch, is proved to the extent, that the multipole moments of a static space-time characterize this space-time uniquely. As an offshoot of the proof one obtains an essentially coordinate-free algorithm for explicitly writing down a geometry in terms of it's moments in a purely algebraic manner. This algorithm seems suited for symbolic manipulation on a computer.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, A-1090, Vienna, Austria

    R. Beig & W. Simon

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  1. R. Beig
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  2. W. Simon
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Communicated by R. Geroch

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Beig, R., Simon, W. Proof of a multipole conjecture due to Geroch. Commun.Math. Phys. 78, 75–82 (1980). https://doi.org/10.1007/BF01941970

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  • DOI: https://doi.org/10.1007/BF01941970

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