T. Cisneros–Pérezª, A. Herrera–Aguilarb, J.C. Mejía–Ambrizª, and V. Rojas–Macíasª
ª Escuela de Ciencias Físico–Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio B, Ciudad Universitaria, Morelia, Mich. 58040, México.
b Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C—3, Ciudad Universitaria, Morelia, Mich. 58040, México.
Recibido el 18 de julio de 2005
Aceptado el 14 de marzo de 2005
]]> Abstract
In the framework of 4D Einstein–Maxwell Dilaton–Axion theory we show how to obtain a family of both unpolarized and polarized S1 x S2 Gowdy cosmological models endowed with nontrivial axion, dilaton and electromagnetic fields from a solitonic rotating black hole–type solution by interchanging the r and t coordinates in the region located between the horizons of the black hole configuration. We also obtain a family of Kantowski–Sachs cosmologies with topology R1 x S2 from the polarized Gowdy cosmological models by decompactifying one of the compact dimensions.
Keywords: Gowdy and Kantowski–Sachs cosmological models; rotating black holes; low–energy string theory; coordinate transformation.
Resumen
En el marco de la teoría tetradimensional de Einstein–Maxwell con dilaton y axión se muestra cómo obtener una familia de modelos cosmológicos de Gowdy (polarizados y no polarizados) con topología S1 x S2. Dichos modelos cosmológicos se obtienen a partir de una solución solitónica de tipo agujero negro rotatorio mediante el intercambio de las coordendas r y t en la región comprendida entre los horizontes del agujero negro y contempla campos dilatonico, axiónico y electromagnético no triviales. A su vez, a partir de las cosmologías de Gowdy polarizadas se obtiene una subclase de modelos cosmológicos de tipo Kantowski–Sachs con topología R1 x S2 mediante la decompactificación de una de las coordenadas compactas.
Descriptores: Cosmologías de tipo Gowdy y Kantowski–Sachs; agujeros negros rotatorios; teoría de cuerdas a bajas energías; transformación de coordenadas.
PACS: 98.80.Hw, 04.20.Jb, 04.50.+h, 11.25.M
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Acknowledgments
One of the authors (AHA) is extremely grateful to the Theoretical Physics Department of the Aristotle University of Thessaloniki and, especially, to Prof. J.E. Paschalis for useful discussions and for providing a stimulating atmosphere while part of this work was being done. He also thanks Prof. O. Obregón for fruitful discussions and Prof. H. Quevedo for an illuminating correspondence on the subject. This research was supported by grants CIC–UMSNH–4 and CONACYT–42064–F.
References
1. F. Quevedo, "Lectures on string/brane cosmology", hep–th/0210292; [ Links ] M. Gasperini, and G. Veneziano, Phys. Rept. 373 (2003) 1. [ Links ]
2. R. Kantowski and R.K. Sachs, J. Math. Phys. (N.Y.) 7 (1966) 443. [ Links ]
3. R Gowdy, Phys. Rev. Lett. 27 (1971) 826. [ Links ]
4. O. Obregón, H. Quevedo and M.P. Ryan, Phys. Rev. D 65 (2001) 024022. [ Links ] See also H. Quevedo and M.P. Ryan, in Mathematical and Quantum Aspects of Relativity and Cosmology, edited by S. Cotsakis and G.W. Gibbons (Springer–Verlag, Berlin, 2000). [ Links ]
5. G.A. Alekseev and J.B. Griffiths, Phys. Rev. Lett. 84 (2000) 5247; [ Links ] S.S. Yazadjiev, Phys. Rev. D 63 (2001) 063510; [ Links ]Phys. Rev. D 66 (2002) 024031; [ Links ] S.S. Yazadjiev and V.A. Rizov, Mod. Phys. Lett. A 18 (2003) 2555; [ Links ] A. Sanchez, A. Macias and H. Quevedo, J. Math. Phys. 45 (2004) 1849; [ Links ] M. Narita, T. Torii and K. Maeda, Class. Quant. Grav. 17 (2000) 4597; [ Links ] M. Narita, Class. Quant. Grav. 19 (2002) 6279; [ Links ]Class. Quant. Grav. 20 (2003) 4983; [ Links ] A.A. Coley and R.J. van den Hoogen, J. Math. Phys. 43 (2002) 4849. [ Links ]
6. A. Corichi, J. Cortez and H. Quevedo, Int. J. Mod. Phys. D 11 (2002) 1451; [ Links ] C.G. Torre, Phys. Rev. D 66 (2002) 084017; [ Links ] T. Jurke, Class. Quant. Grav. 20 (2003) 173; [ Links ] D. Garfinkle, Phys. Rev. D 67 (2003) 124009; [ Links ] H. Ringstrom, Class. Quant. Grav. 21 (2004) S305; [ Links ] L. Andersson, H. van Elst and C. Uggla, Class. Quant. Grav. 21 (2004) S29. [ Links ]
7. D. Garfinkle, Class. Quant. Grav. 21 (2004) S219; [ Links ] R. Gambini, M. Ponce and J. Pullin, Phys. Rev. D 72 (2005) 024031; [ Links ] J. Cortez and G. A. Mena Marugan, Phys. Rev. D 72 (2005) 064020; [ Links ] A. Macias, H. Quevedo and A. Sanchez, "Gowdy Τ3 cosmological models in N = 1 supergravity", gr–qc/0505013; [ Links ] C.G. Torre Class. Quant. Grav. 23 (2006) 1543; [ Links ] A. Corichi, J. Cortez, G. A. Mena Marugan Phys. Rev. D 73 (2006) 041502. [ Links ]
8. J.D. Barrow, and M.P. Dabrowski, Phys. Rev. D 55 (1997) 630. [ Links ]
9. A.S. Kompanyeets, and A.S. Chernov, Sov. Phys. JETP 20 (1964) 1303. [ Links ]
10. J–L. Hanquin, and J. Demaret, J. Phys. A 16 (1983) L5; [ Links ] J. Isenberg, and V. Moncrief, Ann. Phys. (N.Y.) 199 (1990) 84; [ Links ] B.K. Berger, and D. Garfinkle, Phys. Rev. D 57 (1998) 4767. [ Links ]
11. D.V. Gal'tsov, and O.V. Kechkin, Phys. Lett. B 361 (1995) 52; [ Links ] D.V. Gal'tsov, A.A. Garcia, and O.V. Kechkin, J. Math. Phys. 74 (1995) 5023; [ Links ] O.V. Kechkin, and M. Yurova, Int. J. Mod. Phys. A 12 (1997) 4357. [ Links ] A. Herrera–Aguilar, and O.V. Kechkin, Mod. Phys. Lett. A 13 (1998) 1907; [ Links ]Int. J. Mod. Phys. A 13 (1998) 393; 14 (1999) 1345; [ Links ] O.V. Kechkin, Phys. Lett. B 522 (2001) 166. [ Links ]
12. M. Yurova, Phys. Rev. D 65 (2001) 024024. [ Links ]
13. A. Herrera–Aguilar, and O.V. Kechkin, Class. Quant. Grav. 16 (1999) 1745. [ Links ] ]]>