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Removable characteristics and physical meaning of the xo-hyperbolicity conditions of Einstein's evolution equations

  • Physics of Elementary Particles and Field Theory
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Soviet Physics Journal Aims and scope

Abstract

The correctness of the way in which the Cauchy problem is formulated for the evolution equations supplemented with coordinate conditions is studied. This study reveals the coordinate conditions which are preferable from the standpoint of the specification of a frame of reference by these conditions, Einstein's equations, the initial data, and arbitrary gauge conditions. Under certain gauge conditions, these coordinate conditions promote the evolution equations to an xo-hyperbolic system according to the Petrov classification (not in the strict sense).

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Authors and Affiliations

  1. Institute of Applied Problems of Mechanics and Mathematics, Academy of Sciences of the Ukrainian SSR, Ukraine

    V. A. Pelykh

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  1. V. A. Pelykh
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 28–31, January, 1984.

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Pelykh, V.A. Removable characteristics and physical meaning of the xo-hyperbolicity conditions of Einstein's evolution equations. Soviet Physics Journal 27, 22–25 (1984). https://doi.org/10.1007/BF00896404

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  • DOI: https://doi.org/10.1007/BF00896404

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