Original scientific paper

Classical and quantum cosmology of the Sáez-Ballester theory

M. Sabido ; Departamento de Física, DCeI, Universidad de Guanajuato-Campus León, A.P. E-143, C.P. 37150, Guanajuato, México
J. Socorro ; Departamento de Física, DCeI, Universidad de Guanajuato-Campus León, A.P. E-143, C.P. 37150, Guanajuato, México
L. Arturo Ureña-López ; Departamento de Física, DCeI, Universidad de Guanajuato-Campus León, A.P. E-143, C.P. 37150, Guanajuato, México

Abstract

We study the generalization of the Sáez-Ballester theory for a flat FRW cosmology. Classical solutions are obtained by using the Hamilton-Jacobi approach. Contrary to claims in the literature, it is shown that the Sáez-Ballester theory cannot provide a realistic solution to the dark matter problem. Furthermore, the quantization procedure of the theory can be simplified by reinterpreting the theory in the Einstein frame, where the scalar field can be considered as part of the matter content of the theory. Finally, exact solutions are found for the Wheeler-DeWitt equation.

Keywords

Sáez-Ballester theory; generalization; flat FRW cosmology; quantization procedure; solutions of Wheeler-DeWitt equation

Hrčak ID:

304606

URI

https://hrcak.srce.hr/304606

Publication date:

1.11.2010.

Article data in other languages: croatian

Visits: 153 *