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The relativistic problem of motion in co-moving co-ordinates

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Abstract

The role of co-moving atlases is discussed in connection with a possible formulation of the problem of motion in General Relativity. The concept of co-moving scheme is defined and applied to various cases of physical interest. In particular in the Einstein-Maxwell case, we derive a general uniqueness proof for the Maxwell equations.

The dynamical meaning of the equationT ijj =0 is proved, and a scheme for the solution of the problem of motion in co-moving co-ordinates is proposed.

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Authors and Affiliations

  1. Istituto Matematico dell'Università di Genova, Italy

    Enrico Massa

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  1. Enrico Massa
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Lavoro eseguito nell'ambito dell'attività dei Gruppi di Ricerca Matematica del Consiglio Nazionale delle Ricerche.

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Massa, E. The relativistic problem of motion in co-moving co-ordinates. Commun.Math. Phys. 22, 321–337 (1971). https://doi.org/10.1007/BF01877514

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  • DOI: https://doi.org/10.1007/BF01877514

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