Physical identification of static and axially-symmetric vacuum metric tensors

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

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992japa...13..327s&link_type=abstract

Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 13, no. 4, p. 327-347.

Astronomy and Astrophysics

Astrophysics

2

Identifying, Tensor Analysis, Accuracy, Far Fields

Scientific paper

We present a method of a possible physical identification of the static and axially symmetric Weyl-type vacuum gamma and n(gamma) 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 gamma and n(gamma) 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 gamma and n(gamma) 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.

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