• Physical identification of static and axially-symmetric vacuum metric tensors

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      https://www.ias.ac.in/article/fulltext/joaa/013/04/0327-0347

    • Keywords

       

      Weyl metrics; perfect fluid sources; far field metrics; identification

    • Abstract

       

      We present a method of a possible physical identification of the static and axially symmetric Weyl-type vacuum γ and nγ metrics. This method, in which no interior solutions of any kind are involved, is based on the comparison of the far-field forms of the γ and nγ metrics, and of the far-field form of the metric tensor due to a bounded gravitating perfect-fluid source given correctly to post-Newtonian accuracy. The parameters of the vacuum solutions are expressed in terms of physical parameters of a prolate fluid source, namely total mass-energy, semiaxes and eccentricity, defined consistently to post-Newtonian accuracy. The results, based on the otherwise arbitrary fluid source, appear physically general. Possible astrophysical candidates for the far-field γ and metrics are proposed, based on the conditions imposed on them by the identification method. The advantages and deficiencies of the identification method are briefly discussed.

    • Author Affiliations

       

      N. Spyrou1 D. Papadopoulos1

      1. Astronomy Department, University of Thessaloniki, Thessaloniki, Macedonia - 540 06, Greece
    • Dates

       
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