S-duality-invariant perturbations in string cosmology

Nuclear Physics B

Volumn 506, Issue 1-2, 1997, Pages 407-420

  Copeland, E J ^a   Lidsey, James E ^b   Wands, David ^c  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^c UNIVERSITY OF PORTSMOUTH   (United Kingdom)

Author keywords

Cosmological perturbations; SL(2, ) duality; String cosmology

Indexed keywords

EID: 0031585584     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00538-5     Document Type: Article

References (56)

1. [1] M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519.
2. [1] M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519.
3. [1] M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519.
4. [2] M. Gasperini and M. Giovannini, Phys. Lett. B 282 (1992) 36; Phys. Rev. D 47 (1993) 1519; M. Gasperini, in Proceedings of the Second Journée Cosmologie, ed. N. Sanchez and H. de Vega (World Scientific, Singapore, 1995); R. Brustein, M. Gasperini, M. Giovannini and G. Veneziano, Phys. Lett B 361 (1995) 45; R. Brustein, M. Gasperini, M. Giovannini, V. Mukhanov and G. Veneziano, Phys. Rev. D 51 (1995) 6744.
5. [2] M. Gasperini and M. Giovannini, Phys. Lett. B 282 (1992) 36; Phys. Rev. D 47 (1993) 1519; M. Gasperini, in Proceedings of the Second Journée Cosmologie, ed. N. Sanchez and H. de Vega (World Scientific, Singapore, 1995); R. Brustein, M. Gasperini, M. Giovannini and G. Veneziano, Phys. Lett B 361 (1995) 45; R. Brustein, M. Gasperini, M. Giovannini, V. Mukhanov and G. Veneziano, Phys. Rev. D 51 (1995) 6744.
6. [2] M. Gasperini and M. Giovannini, Phys. Lett. B 282 (1992) 36; Phys. Rev. D 47 (1993) 1519; M. Gasperini, in Proceedings of the Second Journée Cosmologie, ed. N. Sanchez and H. de Vega (World Scientific, Singapore, 1995); R. Brustein, M. Gasperini, M. Giovannini and G. Veneziano, Phys. Lett B 361 (1995) 45; R. Brustein, M. Gasperini, M. Giovannini, V. Mukhanov and G. Veneziano, Phys. Rev. D 51 (1995) 6744.
7. [2] M. Gasperini and M. Giovannini, Phys. Lett. B 282 (1992) 36; Phys. Rev. D 47 (1993) 1519; M. Gasperini, in Proceedings of the Second Journée Cosmologie, ed. N. Sanchez and H. de Vega (World Scientific, Singapore, 1995); R. Brustein, M. Gasperini, M. Giovannini and G. Veneziano, Phys. Lett B 361 (1995) 45; R. Brustein, M. Gasperini, M. Giovannini, V. Mukhanov and G. Veneziano, Phys. Rev. D 51 (1995) 6744.
8. [2] M. Gasperini and M. Giovannini, Phys. Lett. B 282 (1992) 36; Phys. Rev. D 47 (1993) 1519; M. Gasperini, in Proceedings of the Second Journée Cosmologie, ed. N. Sanchez and H. de Vega (World Scientific, Singapore, 1995); R. Brustein, M. Gasperini, M. Giovannini and G. Veneziano, Phys. Lett B 361 (1995) 45; R. Brustein, M. Gasperini, M. Giovannini, V. Mukhanov and G. Veneziano, Phys. Rev. D 51 (1995) 6744.
9. [3] M. Gasperini, M. Giovannini and G. Veneziano, Phys. Rev. Lett. 75 (1995) 3796; Phys. Rev. D 52 (1995) 6651; M. Gasperini, in Proceedings of the Third Journée Cosmologie, ed. N. Sanchez and H. de Vega (World Scientific, Singapore, 1996).
10. [3] M. Gasperini, M. Giovannini and G. Veneziano, Phys. Rev. Lett. 75 (1995) 3796; Phys. Rev. D 52 (1995) 6651; M. Gasperini, in Proceedings of the Third Journée Cosmologie, ed. N. Sanchez and H. de Vega (World Scientific, Singapore, 1996).
11. [3] M. Gasperini, M. Giovannini and G. Veneziano, Phys. Rev. Lett. 75 (1995) 3796; Phys. Rev. D 52 (1995) 6651; M. Gasperini, in Proceedings of the Third Journée Cosmologie, ed. N. Sanchez and H. de Vega (World Scientific, Singapore, 1996).
12. [4] E.J. Copeland, R. Easther and D. Wands, Phys. Rev. D 56 (1997) 874.
13. [5] M.S. Turner and E.J. Weinberg, to appear in Phys. Rev. D.
14. [6] R. Brustein and G. Veneziano, Phys. Lett. B 329 (1994) 429; N. Kaloper, R. Madden and K.A. Olive, Nucl. Phys. B 452 (1995) 677; Phys. Lett. B 371 (1996) 34; R. Easther, K. Maeda and D. Wands, Phys. Rev. D 53 (1996) 4247.
15. [6] R. Brustein and G. Veneziano, Phys. Lett. B 329 (1994) 429; N. Kaloper, R. Madden and K.A. Olive, Nucl. Phys. B 452 (1995) 677; Phys. Lett. B 371 (1996) 34; R. Easther, K. Maeda and D. Wands, Phys. Rev. D 53 (1996) 4247.
16. [6] R. Brustein and G. Veneziano, Phys. Lett. B 329 (1994) 429; N. Kaloper, R. Madden and K.A. Olive, Nucl. Phys. B 452 (1995) 677; Phys. Lett. B 371 (1996) 34; R. Easther, K. Maeda and D. Wands, Phys. Rev. D 53 (1996) 4247.
17. [6] R. Brustein and G. Veneziano, Phys. Lett. B 329 (1994) 429; N. Kaloper, R. Madden and K.A. Olive, Nucl. Phys. B 452 (1995) 677; Phys. Lett. B 371 (1996) 34; R. Easther, K. Maeda and D. Wands, Phys. Rev. D 53 (1996) 4247.
18. [7] M. Gasperini, J. Maharana and G. Veneziano, Nucl. Phys. B 472 (1996) 349; J.E. Lidsey, Phys. Rev. D 55 (1997) 3303.
19. [7] M. Gasperini, J. Maharana and G. Veneziano, Nucl. Phys. B 472 (1996) 349; J.E. Lidsey, Phys. Rev. D 55 (1997) 3303.
20. [8] I. Antoniadis, J. Rizos and K. Tamvakis, Nucl. Phys. B 415 (1994) 497; R. Easther and K. Maeda, Phys. Rev. D 54 (1996) 7252; S.J. Rey, Phys. Rev. Lett. 77 (1996) 1929; M. Gasperini, M. Maggiore and G. Veneziano, Nucl. Phys. B 494 (1997) 315; F. Larsen and F. Wilczek, Phys. Rev. D 55 4591 (1997); K. Behrndt, S. Förste and S. Schwager, Instanton effects in string cosmology, hep-th/9704013, to appear in Nucl. Phys. B.
21. [8] I. Antoniadis, J. Rizos and K. Tamvakis, Nucl. Phys. B 415 (1994) 497; R. Easther and K. Maeda, Phys. Rev. D 54 (1996) 7252; S.J. Rey, Phys. Rev. Lett. 77 (1996) 1929; M. Gasperini, M. Maggiore and G. Veneziano, Nucl. Phys. B 494 (1997) 315; F. Larsen and F. Wilczek, Phys. Rev. D 55 4591 (1997); K. Behrndt, S. Förste and S. Schwager, Instanton effects in string cosmology, hep-th/9704013, to appear in Nucl. Phys. B.
22. [8] I. Antoniadis, J. Rizos and K. Tamvakis, Nucl. Phys. B 415 (1994) 497; R. Easther and K. Maeda, Phys. Rev. D 54 (1996) 7252; S.J. Rey, Phys. Rev. Lett. 77 (1996) 1929; M. Gasperini, M. Maggiore and G. Veneziano, Nucl. Phys. B 494 (1997) 315; F. Larsen and F. Wilczek, Phys. Rev. D 55 4591 (1997); K. Behrndt, S. Förste and S. Schwager, Instanton effects in string cosmology, hep-th/9704013, to appear in Nucl. Phys. B.
23. [8] I. Antoniadis, J. Rizos and K. Tamvakis, Nucl. Phys. B 415 (1994) 497; R. Easther and K. Maeda, Phys. Rev. D 54 (1996) 7252; S.J. Rey, Phys. Rev. Lett. 77 (1996) 1929; M. Gasperini, M. Maggiore and G. Veneziano, Nucl. Phys. B 494 (1997) 315; F. Larsen and F. Wilczek, Phys. Rev. D 55 4591 (1997); K. Behrndt, S. Förste and S. Schwager, Instanton effects in string cosmology, hep-th/9704013, to appear in Nucl. Phys. B.
24. [8] I. Antoniadis, J. Rizos and K. Tamvakis, Nucl. Phys. B 415 (1994) 497; R. Easther and K. Maeda, Phys. Rev. D 54 (1996) 7252; S.J. Rey, Phys. Rev. Lett. 77 (1996) 1929; M. Gasperini, M. Maggiore and G. Veneziano, Nucl. Phys. B 494 (1997) 315; F. Larsen and F. Wilczek, Phys. Rev. D 55 4591 (1997); K. Behrndt, S. Förste and S. Schwager, Instanton effects in string cosmology, hep-th/9704013, to appear in Nucl. Phys. B.
25. [8] I. Antoniadis, J. Rizos and K. Tamvakis, Nucl. Phys. B 415 (1994) 497; R. Easther and K. Maeda, Phys. Rev. D 54 (1996) 7252; S.J. Rey, Phys. Rev. Lett. 77 (1996) 1929; M. Gasperini, M. Maggiore and G. Veneziano, Nucl. Phys. B 494 (1997) 315; F. Larsen and F. Wilczek, Phys. Rev. D 55 4591 (1997); K. Behrndt, S. Förste and S. Schwager, Instanton effects in string cosmology, hep-th/9704013, to appear in Nucl. Phys. B.
26. [9] C. Brans and R.H. Dicke, Phys. Rev. 124 (1961) 925.
27. [10] E.S. Fradkin and A.A. Tseytlin, Phys. Lett. B 158 (1985) 316; C.G. Callan, D. Friedan, E.J. Martinec and M.J. Perry, Nucl. Phys. B 262 (1985) 593; C. Lovelace, Nucl. Phys. B 273 (1986) 413; M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory: Vol. 1 (Cambridge Univ. Press, Cambridge, 1987).
28. [10] E.S. Fradkin and A.A. Tseytlin, Phys. Lett. B 158 (1985) 316; C.G. Callan, D. Friedan, E.J. Martinec and M.J. Perry, Nucl. Phys. B 262 (1985) 593; C. Lovelace, Nucl. Phys. B 273 (1986) 413; M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory: Vol. 1 (Cambridge Univ. Press, Cambridge, 1987).
29. [10] E.S. Fradkin and A.A. Tseytlin, Phys. Lett. B 158 (1985) 316; C.G. Callan, D. Friedan, E.J. Martinec and M.J. Perry, Nucl. Phys. B 262 (1985) 593; C. Lovelace, Nucl. Phys. B 273 (1986) 413; M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory: Vol. 1 (Cambridge Univ. Press, Cambridge, 1987).
30. [10] E.S. Fradkin and A.A. Tseytlin, Phys. Lett. B 158 (1985) 316; C.G. Callan, D. Friedan, E.J. Martinec and M.J. Perry, Nucl. Phys. B 262 (1985) 593; C. Lovelace, Nucl. Phys. B 273 (1986) 413; M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory: Vol. 1 (Cambridge Univ. Press, Cambridge, 1987).
31. [11] J.P. Mimoso and D. Wands, Phys. Rev. D 51 (1995) 477; D 52 (1995) 5612.
32. [11] J.P. Mimoso and D. Wands, Phys. Rev. D 51 (1995) 477; D 52 (1995) 5612.
33. [12] A.R. Liddle, R.G. Moorhouse and A.B. Henriques, Nucl. Phys. B 311 (1989) 719; A.A. Tseytlin, Int. J. Mod. Phys. D 1 (1992) 223; D.S. Goldwirth and M.J. Perry, Phys. Rev. D 49 (1994) 5019; K. Behrndt and S. Förste, Nucl. Phys. B 430 (1994) 441.
34. [12] A.R. Liddle, R.G. Moorhouse and A.B. Henriques, Nucl. Phys. B 311 (1989) 719; A.A. Tseytlin, Int. J. Mod. Phys. D 1 (1992) 223; D.S. Goldwirth and M.J. Perry, Phys. Rev. D 49 (1994) 5019; K. Behrndt and S. Förste, Nucl. Phys. B 430 (1994) 441.
35. [12] A.R. Liddle, R.G. Moorhouse and A.B. Henriques, Nucl. Phys. B 311 (1989) 719; A.A. Tseytlin, Int. J. Mod. Phys. D 1 (1992) 223; D.S. Goldwirth and M.J. Perry, Phys. Rev. D 49 (1994) 5019; K. Behrndt and S. Förste, Nucl. Phys. B 430 (1994) 441.
36. [12] A.R. Liddle, R.G. Moorhouse and A.B. Henriques, Nucl. Phys. B 311 (1989) 719; A.A. Tseytlin, Int. J. Mod. Phys. D 1 (1992) 223; D.S. Goldwirth and M.J. Perry, Phys. Rev. D 49 (1994) 5019; K. Behrndt and S. Förste, Nucl. Phys. B 430 (1994) 441.
37. [13] E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 1569.
38. [13] E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 1569.
39. [14] A. Lukas, B.A. Ovrut and D. Waldram, Phys. Lett. B 393 (1997) 65; Nucl. Phys. B 495 (1997) 365; R. Poppe and S. Schwager, Phys. Lett. B 393 (1997) 51; H. Lü, S. Mukherji and C.N. Pope, Phys. Rev. D 55 (1997) 7926; N. Kaloper, Phys. Rev. D 55 (1997) 3394.
40. [14] A. Lukas, B.A. Ovrut and D. Waldram, Phys. Lett. B 393 (1997) 65; Nucl. Phys. B 495 (1997) 365; R. Poppe and S. Schwager, Phys. Lett. B 393 (1997) 51; H. Lü, S. Mukherji and C.N. Pope, Phys. Rev. D 55 (1997) 7926; N. Kaloper, Phys. Rev. D 55 (1997) 3394.
41. [14] A. Lukas, B.A. Ovrut and D. Waldram, Phys. Lett. B 393 (1997) 65; Nucl. Phys. B 495 (1997) 365; R. Poppe and S. Schwager, Phys. Lett. B 393 (1997) 51; H. Lü, S. Mukherji and C.N. Pope, Phys. Rev. D 55 (1997) 7926; N. Kaloper, Phys. Rev. D 55 (1997) 3394.
42. [14] A. Lukas, B.A. Ovrut and D. Waldram, Phys. Lett. B 393 (1997) 65; Nucl. Phys. B 495 (1997) 365; R. Poppe and S. Schwager, Phys. Lett. B 393 (1997) 51; H. Lü, S. Mukherji and C.N. Pope, Phys. Rev. D 55 (1997) 7926; N. Kaloper, Phys. Rev. D 55 (1997) 3394.
43. [14] A. Lukas, B.A. Ovrut and D. Waldram, Phys. Lett. B 393 (1997) 65; Nucl. Phys. B 495 (1997) 365; R. Poppe and S. Schwager, Phys. Lett. B 393 (1997) 51; H. Lü, S. Mukherji and C.N. Pope, Phys. Rev. D 55 (1997) 7926; N. Kaloper, Phys. Rev. D 55 (1997) 3394.
44. [15] E. Witten, Phys. Lett. B 155 (1985) 151; P. Candelas, G. Horowitz, A. Strominger and E. Witten, Nucl. Phys. B 325 (1989) 687.
45. [15] E. Witten, Phys. Lett. B 155 (1985) 151; P. Candelas, G. Horowitz, A. Strominger and E. Witten, Nucl. Phys. B 325 (1989) 687.
46. [16] S.B. Giddings and A. Strominger, Phys. Lett. B 230 (1989) 46; J. Maharana and J.H. Schwarz, Nucl. Phys. B 390 (1993) 3; S.P. Khastgir and J. Maharana, Phys. Lett. B 301 (1993) 191.
47. [16] S.B. Giddings and A. Strominger, Phys. Lett. B 230 (1989) 46; J. Maharana and J.H. Schwarz, Nucl. Phys. B 390 (1993) 3; S.P. Khastgir and J. Maharana, Phys. Lett. B 301 (1993) 191.
48. [16] S.B. Giddings and A. Strominger, Phys. Lett. B 230 (1989) 46; J. Maharana and J.H. Schwarz, Nucl. Phys. B 390 (1993) 3; S.P. Khastgir and J. Maharana, Phys. Lett. B 301 (1993) 191.
49. [17] J.E. Lidsey, On the cosmology and symmetry of dilaton-axion gravity, gr-qc/9609063.
50. [18] S. Mukherji, Mod. Phys. Lett. A 12 (1997) 639.
51. [19] N.A. Batakis, Phys. Lett. B 353 (1995) 39; N.A. Batakis and A.A. Kehagias, Nucl. Phys. B 449 (1995) 248.
52. [19] N.A. Batakis, Phys. Lett. B 353 (1995) 39; N.A. Batakis and A.A. Kehagias, Nucl. Phys. B 449 (1995) 248.
53. [20] J.D. Barrow and K.E. Kunze, Phys. Rev. D 55 (1997) 623; J.D. Barrow and M.P. Dabrowski, Phys. Rev. D 55 (1997) 630.
54. [20] J.D. Barrow and K.E. Kunze, Phys. Rev. D 55 (1997) 623; J.D. Barrow and M.P. Dabrowski, Phys. Rev. D 55 (1997) 630.
55. [21] V.F. Mukhanov, H.A. Feldman and R.H. Brandenberger, Phys. Rep. 215 (1992) 203.
56. [22] N.D. Birrell and P.C.W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982).