Lie group for the Jordan and Brans-Dicke cosmology

Details Lie group for the Jordan and Brans-Dicke cosmology Lie group for the Jordan and Brans-Dicke cosmology

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.181...21c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 181, no. 1, July 1991, p. 21-27.

Statistics

Computation

Astronomical Models, Cosmology, Lie Groups, Computational Astrophysics, Cosmic Dust, Gravitation Theory, Space-Time Functions, Universe

Scientific paper

A method based on the invariance under a continuous Lie group of transformations is worked out to reduce the problem of finding solutions to the cosmological equations of Jordan and Brans-Dicke theory of gravitation for the Robertson-Walker metrics and the cases of the dust universe and the vacuum universe. The reduction consists in a first-order differential equation and a quadrature for each case. Previously known cosmological solutions are re-obtained. In particular, it becomes apparent during the development of this scheme that the flat-space solutions are indeed the general solution.

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