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On the post-Newtonian approximation of the ECSK theory II

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Abstract

We complete the PNA program for the ECSK theory. We find the general post-Newtonian equations of motion for the source. The different components of the complete affine connection, the torsion, and the energy-momentum tensor, as well as the conservation theorems of the theory, are developed for the case of an ideal fluid with spin in order to find the post-Newtonian trajectories of test particles exterior to the sources distribution. The main results are compared with the corresponding ones of general relativity.

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Authors and Affiliations

  1. Instituto de Fisica de Rosario (CONICET-UNR), Avenida Pellegrini 250, 2000, Rosario, Argentina

    Mario A. Castagnino

  2. Instituto de Astronomia y Fisica del Espacio (CONICET), C.C.67, Sucursal 28, Buenos Aires, Argentina

    Mario A. Castagnino & Marcelo L. Levinas

  3. Departamento de Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellon 1, Ciudad Universitaria, Buenos Aires, Argentina

    Marcelo L. Levinas

Authors
  1. Mario A. Castagnino
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  2. Marcelo L. Levinas
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Supported by a scholarship from the Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET).

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Castagnino, M.A., Levinas, M.L. On the post-Newtonian approximation of the ECSK theory II. Gen Relat Gravit 19, 545–562 (1987). https://doi.org/10.1007/BF00762553

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  • DOI: https://doi.org/10.1007/BF00762553

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