Construction of exact solutions in two-field cosmological models

Theoretical and Mathematical Physics

Volumn 155, Issue 1, 2008, Pages 544-556

  Vernov, S Yu ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Cosmology; Dark energy; Exact solution; Phantom; String field theory; Superpotential method

Indexed keywords

EID: 42449137977     PISSN: 00405779     EISSN: 15739333     Source Type: Journal    
DOI: 10.1007/s11232-008-0045-4     Document Type: Article

References (49)

1. A. Riess et al., Astron. J., 116, 1009-1038 (1998); arXiv:astro-ph/ 9805201v1 (1998).
2. D. N. Spergel et al., Astrophys. J. Suppl., 148, 175-194 (2003); arXiv:astro-ph/0302209v3 (2003); Astrophys. J. Suppl., 170, 377-408 (2007); arXiv:astro-ph/0603449v2 (2006).
3. M. Tegmark et al., Phys. Rev. D, 69, 103501 (2004); arXiv:astro-ph/ 0310723v2 (2003).
4. P. Astier et al., Astron. Astrophys., 447, 31-48 (2006); arXiv:astro-ph/0510447v1 (2005).
5. E. J. Copeland, M. Sami, and S. Tsujikawa, Internat. J. Mod. Phys. D, 15, 1753-1935 (2006); arXiv:hep-th/0603057v3 (2006).
6. Y. Gong and A. Wang, Phys. Rev. D, 75, 043520 (2007); arXiv:astro-ph/0612196v3 (2006).
7. U. Alam, V. Sahni, and A. A. Starobinsky, JCAP, 0702, 011 (2007); arXiv:astro-ph/0612381v1 (2006).
8. V. Sahni and A. A. Starobinsky, Internat. J. Mod. Phys. D, 15, 2105-2132 (2006); arXiv:astro-ph/0610026v3 (2006).
9. U. Alam, V. Sahni, T. D. Saina, and A. A. Starobinsky, Mon. Not. R. Astron. Soc., 354, 275-291 (2004); arXiv:astro-ph/0311364v3 (2003).
10. A. Vikman, Phys. Rev. D, 71, 023515 (2005); arXiv:astro-ph/0407107v4 (2004).
11. S. Nojiri and S. D. Odintsov, J. Phys., 66, 012005 (2007); arXiv:hep-th/0611071v2 (2006);
12. Phys. Lett. B, 639, 144-150 (2006); arXiv:hep-th/0606025v2 (2006);
13. Gen. Relativity Gravitation, 38, 1285-1304 (2006); arXiv:hep-th/0506212v3 (2005);
14. Phys. Rev. D, 72, 023003 (2005); arXiv:hep-th/0505215v4 (2005)
15. S. Nojiri, S. D. Odintsov, and S. Tsujikawa, Phys. Rev. D, 71, 063004 (2005); arXiv:hep-th/0501025v2 (2005); S. Tsujikawa, Phys. Rev. D, 72, 083512 (2005); arXiv:astro-ph/0508542v2 (2005); S. Nesseris and L. Perivolaropoulos, JCAP, 0701, 018 (2007); arXiv:astro-ph/0610092v3 (2006); R. Gannouji, D. Polarski, A. Ranquet, and A. A. Starobinsky, JCAP, 0609, 016 (2006); arXiv:astro-ph/0606287v2 (2006); V. A. Rubakov, Theor. Math. Phys., 149, 1651-1664 (2006); arXiv:hep-th/0604153v2 (2006); H. Mohseni Sadjadi and M. Alimohammadi, Phys. Rev. D, 74, 103007 (2006); arXiv:gr-qc/0610080v2 (2006); M. Alimohammadi and H. Mohseni Sadjadi, Phys. Lett. B, 648, 113-118 (2007); arXiv:gr-qc/0608016v2 (2006); H. Mohseni Sadjadi and M. Alimohammadi, Phys. Rev. D, 74, 043506 (2006); arXiv:gr-qc/0605143v2 (2006); P. S. Apostolopoulos and N. Tetradis, Phys. Rev. D, 74, 064021 (2006); arXiv:hep-th/0604014v3 (2006); V. Sahni and Yu. Shtanov, JCAP, 0311, 014 (2003); arXiv:astro-ph/0202346v3 (2002); Wen Zhao and Yang Zhang, Phys. Rev. D, 73, 123509 (2006); arXiv:astro-ph/ 0604460v4 (2006); Bo Feng, Xiulian Wang, and Xinmin Zhang, Phys. Lett. B, 607, 35-41 (2005); arXiv:astro-ph/0404224v3 (2004); Zong-Kuan Guo, Yun-Song Piao, Xinmin Zhang, and Yuan-Zhong Zhang, Phys. Lett. B, 608, 177-182 (2005); arXiv:astro-ph/0410654v1 (2004); Xiao-Fei Zhang, Hong Li, and Yun-Song Piao, Modern Phys. Lett. A, 21, 231-241 (2006); arXiv:astro-ph/0501652v1 (2005); Ming-zhe Li, Bo Feng, and Xin-min Zhang, JCAP, 0512, 002 (2005); arXiv:hep-ph/0503268v2 (2005); H. Stefancic, Phys. Rev. D, 71, 124036 (2005); arXiv:astro-ph/0504518v3 (2005); Rong-Gen Cai, Hong-Sheng Zhang, and Anzhong Wang, Comm. Theor. Phys., 44, 948 (2005); arXiv:hep-th/0505186v2 (2005); Yi-Fu Cai, Hong Li, Yun-Song Piao, and Xinmin Zhang, Phys. Lett. B, 646, 141-144 (2007); arXiv:gr-qc/0609039v5 (2006); Xin Zhang, Phys. Rev. D, 74, 103505 (2006); arXiv:astro-ph/0609699v2 (2006); Hongsheng Zhang and Zong-Hong Zhu, Phys. Rev. D, 75, 023510 (2007); arXiv:astro-ph/0611834v3 (2006).
16. A. A. Andrianov, F. Cannata, and A. Yu. Kamenshchik, J. Phys. A, 39, 9975-9982 (2006); arXiv:gr-qc/0604126v2 (2006).
17. I. Ya. Aref'eva and A. S. Koshelev, JHEP, 0702, 041 (2007); arXiv:hep-th/0605085v3 (2006).
18. V. K. Onemli and R. P. Woodard, Class. Q. Grav., 19, 4607-4626 (2002); arXiv:gr-qc/0204065v2 (2002); S. M. Carroll, M. Hoffman, and M. Trodden, Phys. Rev. D, 68, 023509 (2003); arXiv:astro-ph/0301273v2 (2003); S. D. H. Hsu, A. Jenkins, and M. B. Wise, Phys. Lett. B, 597, 270-274 (2004); arXiv:astro-ph/0406043v3 (2004); R. V. Buniy, S. D. H. Hsu, and B. M. Murray, Phys. Rev. D, 74, 063518 (2006); arXiv:hep-th/0606091v1 (2006); B. McInnes, Nucl. Phys. B, 718, 55-82 (2005); arXiv:hep-th/0502209v2 (2005); V. Gorini, A. Yu. Kamenshchik, U. Moschella, V. Pasquier, and A. A. Starobinsky, Phys. Rev. D, 72, 103518 (2005); arXiv:astro-ph/0504576v2 (2005); E. O. Kahya and V. K. Onemli, Phys. Rev. D, 76, 043512 (2007); arXiv:gr-qc/0612026v3 (2006).
19. I. Ya. Aref'eva and I. V. Volovich, "On the null energy condition and cosmology," arXiv:hep-th/0612098v1 (2006).
20. I. Ya. Aref'eva, "Nonlocal string tachyon as a model for cosmological dark energy," in: p-Adic Mathematical Physics (AIP Conf. Proc., Vol. 826, A. Yu. Khrennikov, Z. Rakic, and I. V. Volovich, eds.), Amer. Inst. Phys., Melville, N. Y. (2006), p. 301-311; arXiv:astro-ph/0410443v2 (2004).
21. I. Ya. Aref'eva, S. Yu. Vernov, and A. S. Koshelev, Theor. Math. Phys., 148, 895-909 (2006); arXiv:astro-ph/0412619v5 (2004).
22. A. Sen, Internat. J. Mod. Phys. A, 20, 5513-5656 (2005); arXiv:hep-th/0410103v2 (2004); K. Ohmori, "A review on tachyon condensation in open string field theories," arXiv:hep-th/0102085v4 (2001); I. Ya. Aref'eva, D. M. Belov, A. A. Giryavets, A. S. Koshelev, and P. B. Medvedev, "Noncommutative field theories and (super) string field theories," in: Particles and Fields (Proc. 11th Jorge André Swieca Summer School, São Paulo, Brazil, January 14-27, 2001, A. V. Gilvan, ed.), World Scientific, Singapore (2002), pp. 1-164; arXiv:hep-th/0111208v2 (2001); W. Taylor, "Lectures on D-branes, tachyon condensation, and string field theory, " arXiv:hep-th/0301094v1 (2003).
23. I. Ya. Aref'eva, A. S. Koshelev, and S. Yu. Vernov, Phys. Rev. D, 72, 064017 (2005); arXiv: astro-ph/0507067v2 (2005).
24. I. Ya. Aref'eva and L. V. Joukovskaya, JHEP, 0510, 087 (2005); arXiv:hep-th/0504200v2 (2005).
25. L. V. Joukovskaya and Ya. I. Volovich, "Energy flow from open to closed strings in a toy model of rolling tachyon," arXiv:math-ph/0308034v2 (2003).
26. I. Ya. Aref'eva, A. S. Koshelev, and S. Yu. Vernov, Phys. Lett. B, 628, 1-10 (2005); arXiv:astro-ph/0505605v2 (2005).
27. I. Ya. Aref'eva, A. S. Koshelev, and S. Yu. Vernov, Bulg. J. Phys., 33(Suppl. 1), 360-367 (2006).
28. I. Ya. Arefeva, D. M. Belov, A. S. Koshelev, and P. B. Medvedev, Nucl. Phys. B, 638, 3-20 (2002); arXiv:hep-th/0011117v3 (2000).
29. I. Ya. Arefeva, D. M. Belov, A. S. Koshelev, and P. B. Medvedev, Nucl. Phys. B, 638, 21-40 (2002); arXiv:hep-th/0107197v2 (2001).
30. E. Witten, Nucl. Phys. B, 268, 253-294 (1986); Nucl. Phys. B, 276, 291-324 (1986).
31. I. Ya. Aref'eva, P. B. Medvedev, and A. P. Zubarev, Phys. Lett. B, 240, 356-362 (1990); Nucl. Phys. B, 341, 464-498 (1990).
32. C. R. Preitschopf, C. B. Thorn, and S. A. Yost, Nucl. Phys. B, 337, 363-433 (1990).
33. N. Berkovits, A. Sen, and B. Zwiebach, Nucl. Phys. B, 587, 147-178 (2000); arXiv:hep-th/0002211v2 (2000).
34. I. Ya. Aref'eva, L. V. Joukovskaya, and A. S. Koshelev, JHEP, 0309, 012 (2003); arXiv:hep-th/0301137v2 (2003); I. Ya. Aref'eva, Fortschr. Phys., 51, 652-657 (2003).
35. K. Ohmori, Phys. Rev. D, 69, 026008 (2004); arXiv:hep-th/0306096v2 (2003).
36. B. Zwiebach, Ann. Phys., 267, 193-248 (1998); arXiv:hep-th/9705241v1 (1997).
37. O. DeWolfe, D. Z. Freedman, S. S. Gubser, and A. Karch, Phys. Rev. D, 62, 046008 (2000); arXiv:hep-th/9909134v4 (1999).
38. A. G. Muslimov, Class. Q. Grav., 7, 231-237 (1990).
39. D. S. Salopek and J. R. Bond, Phys. Rev. D, 42, 3936-3962 (1990).
40. A. R. Liddle and D. H. Lyth, Cosmological Inflation and Large-Scale Structure, Cambridge Univ. Press, Cambridge (2000).
41. D. Bazeia, M. J. dos Santos, and R. F. Ribeiro, Phys. Lett. A, 208, 84-88 (1995); arXiv:hep-th/0311265v1 (2003).
42. D. Bazeia and F. A. Brito, Phys. Rev. D, 61, 105019 (2000); arXiv:hep-th/9912015v2 (1999).
43. A. Brandhuber and K. Sfetsos, JHEP, 9910, 013 (1999); arXiv:hep-th/9908116v2 (1999).
44. E. B. Bogomol'nyi, Sov. J. Nucl. Phys., 24, 449-454 (1976).
45. D. Bazeia, C. B. Gomes, L. Losano, and R. Menezes, Phys. Lett. B, 633, 415-419 (2006); arXiv:astro-ph/0512197v1 (2005); D. Bazeia, L. Losano, and J. J. Rodrigues, "First-order formalism for scalar field in cosmology," arXiv:hep-th/0610028v1 (2006).
46. D. Bazeia, L. Losano, J. J. Rodrigues, and R. Rosenfeld, "First-order formalism for dust," arXiv:astro-ph/0611770v3 (2006).
47. A. S. Mikhailov, Yu. S. Mikhailov, M. N. Smolyakov, and I. P. Volobuev, Class. Q. Grav., 24, 231-242 (2007); arXiv:hep-th/0602143v3 (2006).
48. Yi-Fu Cai, Taotao Qiu, Yun-Song Piao, Mingzhe Li, and Xinmin Zhang, JHEP, 0710, 071 (2007); arXiv:0704.1090v1 [gr-qc] (2007).
49. I. Ya. Aref'eva, L. V. Joukovskaya, and S. Yu. Vernov, JHEP, 0707, 087 (2007); arXiv:hep-th/0701184v4 (2007); "Dynamics in nonlocal linear models in the Friedmann-Robertson-Walker metric," arXiv:0711.1364v2 [hep-th] (2007).