Axisymmetric stationary vacuum fields in the general scalar tensor theory

Details Axisymmetric stationary vacuum fields in the general scalar tensor theory Axisymmetric stationary vacuum fields in the general scalar tensor theory

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.100..309s&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 100, no. 1-2, March 1984, p. 309-317.

Physics

1

Field Theory (Physics), Gravitation Theory, Relativistic Theory, Einstein Equations, Symmetry

Scientific paper

The highly nonlinear field equations of the general scalar-tensor (ST) theory of gravitation of Nordvedt (1970) are investigated analytically. A method is developed to obtain solutions of the stationary axially symmetric (AS) vacuum fields of ST theory from either a stationary AS solution of the Einstein vacuum equation or the AS static ST vacuum fields. The ST analogs of the solutions of Kerr (1963) are derived as an example, and the applicability of the method to the solutions of Tomimatsu and Sato (1973), Yamazaki (1976), and Kinnersley and Chitre (1978) is indicated. The results given represent a generalization of the analysis of Nayak and Tiwari (1977) in Brans-Dicke theory to the general ST theory.

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