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FIZIKA B 19 (2010) 4 , 177-186
 
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
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