Regular Article - Theoretical Physics
Generalized self-similar scalar-tensor theories
Dept. Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, 28040, Madrid, Spain
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Revised: 26 December 2011
Published online: 31 January 2012
In order to analyze how the gravitational constant, G, and the cosmological constant, Λ, may vary we study through symmetry principles the form of the functions in the generalized scalar-tensor theories under the self-similar hypothesis. The results obtained are absolutely general and valid for all the Bianchi models and the flat FRW one. We study the concrete example of the Kantowski–Sachs model finding some new exact self-similar solutions.
© Springer-Verlag / Società Italiana di Fisica, 2012