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Revista mexicana de física
versión impresa ISSN 0035-001X
Rev. mex. fis. vol.53 supl.4 México ago. 2007
Inflation scenario from canonical quantum cosmology
W. Guzmán, M. Sabido, J. Socorro, and L. Arturo UreñaLópez
Instituto de Física de la Universidad de Guanajuato, Apartado Postal E143, 37150, León, Guanajuato, México, email: wguzman@fisica.ugto.mx, msabido@fisica.ugto.mx, socorro@fisica.ugto.mx, lurena@fisica.ugto.mx
Recibido el 1 de mayo de 2006
Aceptado el 1 de noviembre de 2006
Abstract
Using the canonical quantization for the flat FRW cosmological model with scalar field and scalar potential V(Ø), we obtain a differential equation for this potential. Also we present the quantum solution for this model, and under the WKB approximation to get the semiclassical formulation, we give a family of potentials. Finally, the classical evolution of the system is given in the inflation scenary.
Keywords: Exact solutions; quantum cosmology.
Resumen
Usando la cuantización canónica para el modelo cosmológico del FRW plano, con campo escalar y potencial escalar V(Ø), obtenemos una ecuación diferencial para éste potencial. También presentamos la solución cuántica para este modelo, y bajo la aproximación semiclásica WKB, damos una familia de potenciales. Finalmente, la evolución clásica del sistema es dada en el escenario de inflación.
Descriptores: Soluciones exactas; cosmología cuántica.
PACS: 02.30.Jr; 04.20.Jb; 04.60.Ds; 04.60.Kz; 98.80.Jk; 98.80.Qc
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Acknowledgments
This work was partially supported by CONACYT grants 42748, 46195 and 47641, also PROMEP grants UGTOCA3 and UGTOPTC085, CONCYTEG grant 0516K117032, DINPO 000085/05
References
1. B. Ratra and P.J.E. Peebles, Phys. Rev. D 37 (1988) 3406. [ Links ]
2. L.P. Chimento and A.S. Jakubi, Int. J. Mod. Phys. D 5 (1996) 71, grqc/9506015. [ Links ]
3. E.J. Copeland, A.R. Liddle, and D. Wands, Phys. Rev. D 57 (1998) 4686, grqc/9711068. [ Links ]
4. D. Lyth and A. Liddle, Cosmological Inflation and Large Scale Structure (Cambridge University Press, 2000). [ Links ]
5. V. Sahni and L. Wang, Phys. Rev. D 62 (2000) 103517. [ Links ]
6. T. Matos and L.A. UreñaLópez, Class. Quantum Grav. 17 (2000) L75, astroph/0004332. [ Links ]
7. T. Matos and L.A. UreñaLópez, Phys. Rev. D 63 (2001) 063506, astroph/0006024. [ Links ]
8. A. Arbey, J. Lesgourgues, and P. Salati, Phys. Rev. D 64 (2001) 123528, astroph/0105564. [ Links ]
9. J. Lidsey, T. Matos, and L.A. UreñaLópez, Phys. Rev. D 66 (2002) 023514, astroph/0111292. [ Links ]
10. L.G. CabralRosetti, T. Matos, D. Núñez, and R. Sussman, Class. Quantum Grav. 19 (2002) 3603, grqc/0112044. [ Links ]
11. M. Alcubierre, F.S. Guzman, T. Matos, D. Núñez, L.A. UreñaLopez, and P. Wiederhold, Class. Quantum Grav. 19 (2002) 5017, grqc/0110102. [ Links ]
12. P.J.E. Peebles and B. Ratra, Rev. Mod. Phys. 75 (2003) 559, astroph/0207347. [ Links ]
13. U. Alam, V. Sahni, and A.A. Starobinsky, JCAP 0406 (2004) 008, astroph/0403687. [ Links ]
14. V. Sahni (2004), astroph/0403324. [ Links ]
15. R. Maartens (2002), prepared for 10th Greek Relativity Meeting on New Developments in Gravity (NEBX), Chalkidiki, Greece, 30 May2 Jun 2002. [ Links ]
16. K. Dimopoulos, G. Lazarides, D. Lyth, and R. Ruiz de Austri, Phys. Rev. D 68 (2003) 123515, hepph/0308015. [ Links ]
17. L.A. UreñaLópez and T. Matos, Phys. Rev. D 62 (2000) 081302, astroph/0003364. [ Links ]
18. A. Kobakhidze and L. MersiniHoughton (2004), hepth/0410213. [ Links ]
19. M.R. Douglas, JHEP 0305 (2003) 046, hepth/0303194. [ Links ]
20. L. Susskind (2003), hepth/0302219. [ Links ]
21. A. Sen, Mod. Phys. Lett. A 17 (2002) 1797 (arXiv:hepth/0204143). [ Links ]
22. A. Sen, Int. J. Mod. Phys. A 18 (2003) 4869 (arXiv:hepth/0209122). [ Links ]
23. V. Gorini, A.Y. Kamenshchik, U. Moschella, and V. Pasquier, Phys. Rev. D 69 (2004) 123512 (arXiv:hepth/0311111). [ Links ]
24. H. GarcíaCompeán, G. GarcíaJiménez, O. Obregón, and C. Ramírez, Phys. Rev. D 71 (2005) 063517. [ Links ]
25. M. Ryan, Hamiltonian Cosmology (Springer, Berlin, 1972). [ Links ]
26. M. MacCallum, in General Relativity: An Einstein Centenary Survey, edited by S. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979). [ Links ]
27. H. Kodama, Prog. Theo. Phys. 80 (1988) 1024. [ Links ]
28. H. Kodama, Phys. Rev. D 42 (1990) 2548. [ Links ]
29. A. Ashtekar, Phys. Rev. Lett. 57 (1986) 2244. [ Links ]
30. J. Hartle and S. Hawking, Phys. Rev. D 28 (1983) 2960. [ Links ]
31. V. Moncrief and M. Ryan, PRD 44 (1991) 2375. [ Links ]
32. O. Obregón and I Socorro, Int. J. Theor. Phys. 35 (1996) 1381. [ Links ]
33. G.D. Barbosa and N. Pinto Neto, Phys. Rev. D 70 (2004) 103512. [ Links ]
34. O. Obregón and M.P. Ryan, Mod. Phys. Lett. A 40 (1998) 3251. [ Links ]
35. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, 1980) p. 773. [ Links ]