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Revista mexicana de física

Print version ISSN 0035-001X

Rev. mex. fis. vol.56 n.2 México Apr. 2010




Anisotropic cosmology in Sáez–Ballester theory: classical and quantum solutions


J. Socorro1*, M. Sabido1**, M.A. Sánchez2 and M.G. Frías Palos2


1 Departamento de Física, DCel, Universidad de Guanajuato–Campus León, Apartado Postal E–143, 37150, Guanajuato, México. E–mail: *socorro@fisica.ugto.m; **msabido@fisica.ugto.m

2 Facultad de Ciencias de la Universidad Autónoma del Estado de México, Instituto Literario No. 100, Toluca, 50000, Edo de Mex, México.


Recibido el 25 de noviembre de 2009
Aceptado el 16 de marzo de 2010



We use the Sáez–Ballester theory on anisotropic Bianchi I cosmological model, with barotropic flui and cosmological constant. We obtain the classical solution by using the Hamilton–Jacobi approach. Also the quantum regime is constructed and exact solutions to the Wheeler–DeWitt equation are found.

Keywords: Classical and quantum exact solutions; cosmology.



Usamos la teoría de Sáez–Ballester en el modelo anisotrópico Bianchi I con un fluid barotrópico y constante cosmológica. Obtenemos las soluciones clásicas usando el enfoque de Hamilton–Jacobi. El regimen cuántico también es construido y soluciones exactas a la ecuación de Wheeler–DeWitt son encontradas.

Descriptores: Soluciones clásicas y cuánticas exactas; cosmología.


PACS: 02.30.Jr; 04.60.Kz; 12.60Jv; 98.80.Qc.





This work was partially supported by CONACYT grants 51306, 56946 and 62253. DINPO (2009) and PROMEP grants UGTO–CA–3 and UGTO–PTC–085. This work is part of the collaboration within the Instituto Avanzado de Cosmología. Many calculations where done by Symbolic Program REDUCE 3.8.



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