Simple dynamics on the brane

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 6, 2002, Pages

  Szydłowski, Marek ^a   Da̧browski, Mariusz P ^b   Krawiec, Adam ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b UNIVERSITY OF SZCZECIN   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COSMOLOGICAL PHENOMENA; COSMOS; DYNAMICS; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; MOTION; QUANTUM THEORY; SPACE;

EID: 3543039292     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.064003     Document Type: Article

References (68)

1. G. Veneziano, Phys. Lett. B 265, 287 (1991).
2. M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1993).
3. J.E. Lidsey, D.W. Wands, and E.J. Copeland, Phys. Rep. 337, 343 (2000).
4. A.H. Guth, Phys. Rev. D 23, 347 (1981).
5. A.D. Linde, Phys. Lett. 108B, 389 (1982).
6. S. Perlmutter, Nature (London) 391, 51 (1998);
7. S. Perlmutter, Astrophys. J. 517, 565 (1999);
8. P.M. Garnavich, Astrophys. J. Lett. 493, L53 (1998);
9. A.G. Riess, Astron. J. 116, 1009 (1998).
10. R.R. Caldwell, R. Dave, and P.J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998);
11. Phys. Rev. Lett.I. Zlatev, L. Wang, and P.J. Steinhardt, 82, 896 (1999);
12. P.J. Steinhardt, L. Wang, and I. Zlatev, Phys. Rev. D 59, 123504 (1999).
13. P. Hořava and E. Witten, Nucl. Phys. B460, 506 (1996);
14. Nucl. Phys.P. HořavaE. WittenB475, 94 (1996).
15. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999).
16. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).
17. R.Y. Donagi, J. Khoury, B. Ovrut, P.J. Steinhardt, and N.J. Turok, J. High Energy Phys. 11, 041 (2001).
18. J. Khoury, B. Ovrut, N. Seiberg, P.J. Steinhardt, and N.J. Turok, Phys. Rev. D 65, 086007 (2002).
19. E. Witten, “The Cosmological Constant from the Viewpoint of String Theory,” hep-ph/0002297;
20. E. Witten“Quantum Gravity in de Sitter Space,” hep-th/0106109.
21. S. Hellerman, N. Kaloper, and L. Susskind, J. High Energy Phys. 06, 003 (2001);
22. J. High Energy Phys.W. Fishler, A. Kashani-Poor, R. McNees, and S. Paban, 07, 003 (2001);
23. J.W. Moffat, “Acceleration of the Universe, String Theory and a Varying Speed of Light,” hep-th/0105017.
24. M. Visser, Phys. Lett. 159B, 22 (1985).
25. C. Barcelo and M. Visser, Phys. Lett. B 482, 183 (2000).
26. A. Lukas, B.A. Ovrut, and D. Waldram, Phys. Rev. D 60, 086001 (1999).
27. H.S. Reall, Phys. Rev. D 59, 103506 (1999).
28. J.E. Lidsey, Class. Quantum Grav. 17, L39 (2000).
29. M.P. Da̧browski, Phys. Lett. B 474, 52 (2000).
30. N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 516, 70 (1998).
31. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 436, 257 (1998).
32. N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Rev. D 59, 086004 (1999).
33. P. Binétruy, C. Deffayet, and D. Langlois, Nucl. Phys. B565, 269 (2000).
34. P. Binétruy, C. Deffayet, and D. Langlois, Phys. Lett. B 477, 285 (2000).
35. T. Shiromizu, K. Maeda, and M. Sasaki, Phys. Rev. D 62, 024012 (2000).
36. M. Sasaki, T. Shiromizu, and K. Maeda, Phys. Rev. D 62, 024008 (2000).
37. S. Mukhoyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62, 024028 (2000).
38. H. Ishihara, Phys. Rev. Lett. 86, 381 (2001).
39. R. Maartens, “Geometry and dynamics of the brane-world,” gr-qc/0101059.
40. L.A. Gergely and R. Maartens, Class. Quantum Grav. 19, 213 (2002).
41. A. Frolov, Phys. Lett. B 514, 213 (2001).
42. A. Campos and C.F. Sopuerta, Phys. Rev. D 63, 104012 (2001).
43. A. Campos and C.F. Sopuerta, Phys. Rev. D 64, 104011 (2001).
44. C.M. Chen, T. Harko, and M.K. Mak, Phys. Rev. D 64, 044013 (2001).
45. C.M. Chen, T. Harko, and M.K. Mak, Phys. Rev. D 64, 124017 (2001).
46. A.A. Coley, “Dynamics of brane-world cosmological models,” hep-th/0110049.
47. A.A. Coley, Class. Quantum Grav. 19, L45 (2002).
48. L. Anchordoqui, C. Nuñez, and K. Olsen, J. High Energy Phys. 10, 050 (2000).
49. L. Anchordoqui, Phys. Rev. D 64, 084027 (2001).
50. M.P. Da̧browski and A.L. Larsen, Phys. Rev. D 55, 3424 (1995).
51. J. Stelmach, M.P. Da̧browski, and R. Byrka, Nucl. Phys. B406, 471 (1993).
52. M.P. Da̧browski, Ann. Phys. (N.Y.) 248, 199 (1996).
53. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
54. A. Hebecker and J. March-Russell, Nucl. Phys. B608, 375 (2001).
55. K.I. Maeda, Phys. Rev. D 64, 123525 (2001).
56. P.F. González-Díaz, Phys. Lett. B 481, 353 (2000).
57. H.P. Robertson, Rev. Mod. Phys. 5, 62 (1933).
58. M.P. Da̧browski and J. Stelmach, Ann. Phys. (N.Y.) 166, 422 (1986).
59. A.A. Andronov and L.S. Pontryagin, Dokl. Akad. Nauk SSSR 14, 247 (1937).
60. S. Smale, Mathematics of Time (Springer-Verlag, New York, 1980).
61. R. Thom, Stabilité Structurelle et Morphogénese (Inter-Editions, Paris, 1997).
62. A.V. Toporensky, Class. Quantum Grav. 18, 2311 (2001).
63. M.P. Da̧browski and J. Stelmach, Astron. J. 92, 1272 (1986).
64. M.P. Da̧browski and J. Stelmach, Astron. J. 93, 1373 (1987).
65. M.P. Da̧browski and J. Stelmach, Astron. J. 97, 978 (1989).
66. M.P. Da̧browski and J. Stelmach, in Large Scale Structure in the Universe, IAU Symposium No. 130, edited by J. Adouze, M.-C. Palletan, and A. Szalay (Kluwer Academic, Dordrecht, 1988), p. 566.
67. M. Szydłowski, M.P. Da̧browski, and A. Krawiec (in preparation).
68. V. Sahni, H. Feldman and A. Stebbins, Astrophys. J. 385, 1 (1992).