FIZIKA B 19 (2010) 4 , 177-186

size 134 kBsize 560 kB

CLASSICAL AND QUANTUM COSMOLOGY OF THE SÁEZ-BALLESTER THEORY

M. SABIDO, J. SOCORRO and L. ARTURO UREÑA-LÓPEZ
Departamento de Física, DCeI, Universidad de Guanajuato-Campus León, A.P. E-143, C.P. 37150, Guanajuato, México
E-mail addresses: msabido@fisica.ugto.mx , socorro@fisica.ugto.mx , lurena@fisica.ugto.mx

Received 1 June 2010;     Revised manuscript received 14 December 2010
Accepted 26 January 2011     Online 7 March 2011

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.

PACS numbers: 04.20.Fy, 04.20.Jb, 04.60.Kz, 98.80.Qc
UDC 524.83

Keywords: Sáez-Ballester theory, generalization, flat FRW cosmology, quantization procedure, solutions of Wheeler-DeWitt equation

Copyright by The Croatian Physical Society
For problems or questions please contact fizika@fizika.hfd.hr