Abstract:
In this work the dynamics of a spatially closed Friedmann-Robertson-Walker model for the universe conformally coupled to a scalar field is studied. It is proven that this dynamics, formulated in terms of the proper time t (or cosmic time) is very simple. For arbitrary initial conditions, we prove that the universe will ultimately collapse in a finite time. We also show that there is no inflation at any stage of the evolution. When represented in phase space all trajectories of the system are unbounded, owing to a divergence that appears at the singularity, and showing that there is no chaos. © 2001 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Qualitative dynamical properties of a spatially closed FRW universe conformally coupled to a scalar field |
Autor: | Castagnino, M.A. |
Filiación: | Instituto de Astronomía y Física del Espacio, Casilla de Correos 67, sucursal 28, Buenos Aires, 1428, Argentina Laboratoire de Mathématique et Physique Théorique, CNRS (UPRES-A6083), Faculté des Sciences et Techniques, Université de Tours-Parc de Gradmont, Tours, 37200, France Departamento de Física, FCEIA, UNR, Avda. Pellegini 250, Rosario, 2000, Argentina
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Año: | 2001
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Volumen: | 63
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Número: | 4
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Página de inicio: | 4
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.63.044003 |
Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology
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Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol
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ISSN: | 15507998
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v63_n4_p4_Castagnino |
Referencias:
- Castagnino, M., Giacomini, H., Lara, L., (2000) Phys. Rev. D, 61, p. 107302
- Calzetta, E., El Hasi, C., (1993) Class. Quantum Grav., 10, p. 1825
- Calzetta, E., El Hasi, C., (1995) Phys. Rev. D, 51, p. 2713
- Castagnino, M., Bombelli, L., Lombardo, F., (1998) J. Math. Phys., 39, p. 6040
- J. Pullin, in Proceedings of the 7th Latin American Symposium on Relativity and Gravitation, Cocoyoc, Mexico, 1990, p. 189; Castagnino, M., (1971) J. Math. Phys., 12, p. 2203
- Cornish, N., Levin, J., (1996) Phys. Rev. D, 53, p. 3022
- Misner, C., Thorne, K., Wheeler, A., (1972) Gravitation, , Freeman, San Francisco
Citas:
---------- APA ----------
(2001)
. Qualitative dynamical properties of a spatially closed FRW universe conformally coupled to a scalar field. Physical Review D - Particles, Fields, Gravitation and Cosmology, 63(4), 4.
http://dx.doi.org/10.1103/PhysRevD.63.044003---------- CHICAGO ----------
Castagnino, M.A.
"Qualitative dynamical properties of a spatially closed FRW universe conformally coupled to a scalar field"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 63, no. 4
(2001) : 4.
http://dx.doi.org/10.1103/PhysRevD.63.044003---------- MLA ----------
Castagnino, M.A.
"Qualitative dynamical properties of a spatially closed FRW universe conformally coupled to a scalar field"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 63, no. 4, 2001, pp. 4.
http://dx.doi.org/10.1103/PhysRevD.63.044003---------- VANCOUVER ----------
Castagnino, M.A. Qualitative dynamical properties of a spatially closed FRW universe conformally coupled to a scalar field. Phys Rev D Part Fields Gravit Cosmol. 2001;63(4):4.
http://dx.doi.org/10.1103/PhysRevD.63.044003