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Functional method for solving gravitational field equations

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Abstract

A new method for solving the equations of a gravitational field (G field), which is based on functional transformations (FT), which replace holonomic transformations (HT), is discussed. The method is equivalent to nonholonomic transformations (NT) of the field functions and makes it possible to use a known solution to construct a new set of solutions in the same coordination, which contains a fixed number (up to 12) of arbitrary functions. The FT method can be used to solve the Cauchy problem for a non-steady-state G field, to eliminate singularities in the field, etc.

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Authors and Affiliations

  1. Tbilisi State University, USSR

    V. S. Kiriya

Authors
  1. V. S. Kiriya
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Additional information

This article is published as a matter for discussion.

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 50–55, February, 1979.

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Kiriya, V.S. Functional method for solving gravitational field equations. Soviet Physics Journal 22, 149–153 (1979). https://doi.org/10.1007/BF00892006

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  • DOI: https://doi.org/10.1007/BF00892006

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