Analysis of the integrability of a Brans-Dicke universe filled with matter and radiation

Details Analysis of the integrability of a Brans-Dicke universe filled with matter and radiation Analysis of the integrability of a Brans-Dicke universe filled with matter and radiation

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..54.6181t&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 54, Issue 10, 15 November 1996, pp.6181-6185

Physics

4

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Initial Value Problem, Existence And Uniqueness Of Solutions

Scientific paper

The integrability of the Brans-Dicke field equations in the case of a universe filled with matter and radiation is analyzed. The method used is the Ablowitz-Ramani-Segur algorithm based on the Painlevé property of the differential equations. We show that the system of field equations is not integrable for any value of the coupling constant ω of the Brans-Dicke theory. We also discuss how to interpret this result as possibly valid for all scalar-tensor theories of gravity and how the nonintegrability of the system may be seen as an indication for the onset of chaos in the problem.

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