W. Guzmán, M. Sabido, and J. Socorro
Instituto de Física de la Universidad de Guanajuato, Apartado Postal E–143, León, 37150 Guanajuato, México, e–mail: msabido@fisica.ugto.mx, socorro@fisica.ugto.mx
Recibido el 1 de mayo de 2006
Aceptado el 1 de noviembre de 2006
Abstract
]]> In this work, we apply a previous proposal to study noncommutative cosmology and apply it to inflation, we analyze an FRW cosmological background with a scalar field, via the WDW equation. In this scenario noconmmutativity is introduced in the gravitational field as well as in the scalar field through a deformation of minisuperspace and are able to find an exact the noncommutative wave function.Keywords: Quantum cosmology; noncommutative quantum mechanics.
Resumen
En este trabajo aplicamos propuestas previas al estudio de la cosmología no conmutativa aplicando esto a inflación, analizamos un modelo cosmológico FRW con un campo escalar a través de la ecuación WDW. En este escenario la no conmutatividad es introducida entre el campo gravitacional y el campo escalar por medio de la deformación de las relaciones de conmutación en el mini–superespacio y nos es posible encontrar soluciones exactas para la función de onda.
Descriptores: Cosmología cuantica; mecánica cuántica noconmutativa.
PACS: 02.40.Gh; 04.60.Kz; 98.80.Hw
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]]>Acknowledgments
This work was partially supported by CONACYT grants 47641 and 51306 as well as PROMEP grants UGTO–CA–3 and PROMEP–PTC–085.
References
1. M.P. Ryan, in: Hamiltonian Cosmology (Springer, Berlin, 1972). [ Links ]
2. M. MacCallum, in: General Relativity: An Einstein Centenary Survey, edited by S. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979). [ Links ]
3. H. García–Compeán, O. Obregón, and C. Ramírez, Phys. Rev. Lett. 88 (2002) 161301. [ Links ]
4. H. García–Compeán, O. Obregón, C. Ramírez, and M. Sabido, Phys. Rev. D 68 (2003) 044015; [ Links ] H. García–Compeán, O. Obregón, C. Ramírez, and M. Sabido, Phys. Rev. D 68 (2003) 045010; [ Links ] M. Banados, O. Chandia, N. Grandi, F.A. Schaposnik, and G.A. Silva, Phys. Rev. D 64 (2001) 084012; [ Links ] H. Nishino and S. Rajpoot, Phys. Lett. B 532 (2002) 334; [ Links ] V.P. Nair, "Gravitational Fields on a Noncommutative Space", hep–th/0112114; [ Links ] S. Cacciatori, D. Klemm, L. Martucci, and D. Zanon, Phys. Lett. B 536 (2002) 101; [ Links ] S. Cacciatori, A.H. Chamseddine, D. Klemm, L. Martucci, W.A. Sabra, and D. Zanon, "Noncommutative Gravity in Two Dimensions", hep–th/0203038; [ Links ] Y. Abe and V.P. Nair,"Noncommutative Gravity: Fuzzy Sphere and Others", hep–th/0212270; [ Links ] M.A. Cardella and Daniela Zanon, "Noncommutative Deformation of Four–dimensional Einstein Gravity", hep–th/0212071; [ Links ] A.H. Chamseddine, "Invariant Actions for Noncommutative Gravity", hep–th/0202137; [ Links ] J.W. Moffat, Phys. Lett. B 491 (2000) 345; [ Links ]Phys. Lett. B 493 (2000) 142. [ Links ]
5. I Gamboa, M. Loewe, and J.C. Rojas., Phys. Rev. D 64 (2001) 067901. [ Links ]
6. M. Chaichian, M.M. Sheikh–Jabbari, and A. Tureanu, Phys. Rev. Lett. 86 2716. [ Links ]
7. G.D. Barbosa, Phys. Rev. D 71 (2005) 063511, (arXiv:hep–th/0408071). [ Links ]
8. G.D. Barbosa and N. Pinto–Neto, Phys. Rev. D 70 (2004) 103512, (arXiv:hep–th/0407111). [ Links ]
9. L.O. Pimentel and C. Mora, Gen. Rel. Grav. 37 (2005) 817, (arXiv:gr–qc/0408100). [ Links ]
10. R. Brandenberger and P.M. Ho, Phys. Rev. D 66 (2002) 023517; [ Links ] Q.G. Huang and M. Li, Nucl. Phys. B 713 (2005) 219; [ Links ] Q.G. Huang and M. Li, JHEP 0306 (2003) 014; [ Links ] H.s. Kim, G.S. Lee, H.W. Lee, and Y.S. Myung, Phys. Rev. D 70 2004) 043521; [ Links ] H.s. Kim, G.S. Lee, and Y.S. Myung, Mod. Phys. Lett. A 20 (2005) 271; [ Links ] D.J. Liu and X.Z. Li, Phys. Rev. D 70 (2004) 123504. [ Links ]
11. W. Guzmán, M. Sabido, J. Socorro, and L. Arturo Urena López, Scalar potential out of canonical quantum cosmology, gr–qc/0506041. [ Links ]
12. L.P Chimento and A.S. Jakubi, Int. J. Mod. Phys. D 5 71 (1996). [ Links ]
13. J. Socorro, Int. J. Theor. Phys. 42 (2003) 2087. [ Links ] ]]>