Artículo
Abstract:
In this paper we study the dynamical behavior of a simple cosmological model defined by a spatially flat Robertson-Walker geometry, conformally coupled with a massive scalar field. We determine a Lyapunov-like function for the nonlinear evolution equations. From this function we prove that all the stationary solutions are unstable. We also show that all initial conditions, different from the stationary points, originate an expanding universe in the asymptotic regime, with a scale parameter (Formula presented) that goes to infinity and the scalar field (Formula presented) that goes to zero in an oscillatory way. We also find two asymptotic solutions, valid for sufficiently large values of time. These solutions correspond to a radiation dominated phase and to a matter dominated phase, respectively. © 2000 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Dynamical properties of the conformally coupled flat FRW model |
| Autor: | Castagnino, M.A. |
| Filiación: | Instituto de Astronomía y Física del Espacio, Casilla de correo 67, sucursal 28, Buenos Aires, 1428, Argentina Laboratoire de Mathématiques et Physique Théorique- UPRES A 6083, Faculté des Sciences et Techniques, Université de Tours-Parc de Grandmont, Tours, 37200, France Depto. de Física, FCEIA UNR, Avda Pellegrini 250, Rosario, 2000, Argentina |
| Año: | 2000 |
| Volumen: | 61 |
| Número: | 10 |
| DOI: | http://dx.doi.org/10.1103/PhysRevD.61.107302 |
| Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol |
| ISSN: | 15507998 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v61_n10_p_Castagnino |
Referencias:
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Citas:
---------- APA ----------
(2000) . Dynamical properties of the conformally coupled flat FRW model. Physical Review D - Particles, Fields, Gravitation and Cosmology, 61(10).http://dx.doi.org/10.1103/PhysRevD.61.107302
---------- CHICAGO ----------
Castagnino, M.A. "Dynamical properties of the conformally coupled flat FRW model" . Physical Review D - Particles, Fields, Gravitation and Cosmology 61, no. 10 (2000).http://dx.doi.org/10.1103/PhysRevD.61.107302
---------- MLA ----------
Castagnino, M.A. "Dynamical properties of the conformally coupled flat FRW model" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 61, no. 10, 2000.http://dx.doi.org/10.1103/PhysRevD.61.107302
---------- VANCOUVER ----------
Castagnino, M.A. Dynamical properties of the conformally coupled flat FRW model. Phys Rev D Part Fields Gravit Cosmol. 2000;61(10).http://dx.doi.org/10.1103/PhysRevD.61.107302
