Conformally flat Stäckel spaces in the Brans–Dicke theory

A problem of classification of the conformally flat Stäckel spaces admitting complete separation of variables in the Hamilton–Jacobi equation is studied within the framework of the Brans–Dicke scalar-tensor gravitational theory. Solutions to the field equations of the theory are found for the confor...

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Veröffentlicht in:	Russian physics journal 2009-02, Vol.52 (2), p.170-175
Hauptverfasser:	Obukhov, V. V., Osetrin, K. E., Filippov, A. E., Rybalov, Yu. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Condensed Matter Physics Elementary Particle Physics and Field Theory Hadrons Heavy Ions Lasers Mathematical and Computational Physics Nuclear Physics Optical Devices Optics Photonics Physics Physics and Astronomy Theoretical
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Zusammenfassung:	A problem of classification of the conformally flat Stäckel spaces admitting complete separation of variables in the Hamilton–Jacobi equation is studied within the framework of the Brans–Dicke scalar-tensor gravitational theory. Solutions to the field equations of the theory are found for the conformally flat Stäckel spaces of type (1.1), and explicit forms of the metric and scalar field are presented.
ISSN:	1064-8887 1573-9228
DOI:	10.1007/s11182-009-9205-8