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The linear theory of gravitation in the radiation gauge

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Abstract

A global gauge for the linear theory of gravity is given which avoids the (In(R))/R problem of harmonic coordinates. Consequently it is possible to do 1/R expansions for precisely those null sources which lead to difficulties in the harmonic gauge. This is important, for example, in second order calculations where the first order field is a gravitational wave. This gauge makes manifest the two degrees of freedom for the dynamic fields. In it the second time derivative of the metric itself has physical significance since R oioj=−1/2hij.

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Authors and Affiliations

  1. Behlen Laboratory of Physics, University of Nebraska, 68508, Lincoln, Nebraska

    W. B. Campbell

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  1. W. B. Campbell
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Work supported in part by NSF Grant No. GP-13959.

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Campbell, W.B. The linear theory of gravitation in the radiation gauge. Gen Relat Gravit 4, 137–147 (1973). https://doi.org/10.1007/BF00762800

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  • DOI: https://doi.org/10.1007/BF00762800

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