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On the stability of cosmological solutions in Brans-Dicke theory

2003; Mexican Society of Physics; Volume: 49; Issue: 2 Linguagem: Inglês

2683-2224

Marcos Nahmad, Jorge L. Cervantes–Cota, M. A. Rodríguez‐Meza,

Black Holes and Theoretical Physics

espanolUsamos variables escaladas para deducir un conjunto de ecuaciones acopladas validas para modelos de Bianchi tipos I, V y IX, isotropicos y no isotropicos, en algunas teorias escalares-tensoriales. En particular, para la teoria de Brans-Dicke las ecuaciones se desacoplan, entonces, uno es capaz de integrar el sistema para modelos de FRW y Bianchi I y V. Adicionalmente, investigamos, a traves del metodo de Lyapunov, la estabilidad de las soluciones; resultados particulares son presentados para teoria BD. Ademas, en un apendice, se demuestra un teorema extendido de Lyapunov. EnglishWe use scaled variables to deduce a set of coupled equations valid for isotropic and anisotropic Bianchi type I, V, IX models in some scalar-tensor theories. In particular, for the Brans-Dicke theory the equations decouple, then one is able to integrate the system for FRW and Bianchi I and V models. Additionally, we investigate, through the method of Lyapunov, the stability of our solutions, particular results are presented for BD theory. Furthermore, an extended Lyapunov theorem is demonstrated in the appendix.