Inhomogeneous pre-Big Bang string cosmology

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 406, Issue 4, 1997, Pages 297-303

  Veneziano, G ^a  

^a CERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000013379     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(97)00688-6     Document Type: Article

References (36)

1. G. Veneziano, Phys. Lett. B 265 (1991) 287; A.A. Tseytlin, Mod. Phys. Lett. A 6 (1991) 1721; A.A. Tseytlin and C. Vafa, Nucl. Phys. B 372 (1992) 443; K.A. Meissner and G. Veneziano, Phys. Lett. B 267 (1991) 33; Mod. Phys. Lett. A 6 (1991) 3397; A. Sen, Phys. Lett. B 271 (1991) 295; S.F. Hassan and A. Sen, Nucl. Phys. B 375 (1992) 103; M. Gasperini and G. Veneziano, Phys. Lett. B 277 (1992) 256.
2. G. Veneziano, Phys. Lett. B 265 (1991) 287; A.A. Tseytlin, Mod. Phys. Lett. A 6 (1991) 1721; A.A. Tseytlin and C. Vafa, Nucl. Phys. B 372 (1992) 443; K.A. Meissner and G. Veneziano, Phys. Lett. B 267 (1991) 33; Mod. Phys. Lett. A 6 (1991) 3397; A. Sen, Phys. Lett. B 271 (1991) 295; S.F. Hassan and A. Sen, Nucl. Phys. B 375 (1992) 103; M. Gasperini and G. Veneziano, Phys. Lett. B 277 (1992) 256.
3. G. Veneziano, Phys. Lett. B 265 (1991) 287; A.A. Tseytlin, Mod. Phys. Lett. A 6 (1991) 1721; A.A. Tseytlin and C. Vafa, Nucl. Phys. B 372 (1992) 443; K.A. Meissner and G. Veneziano, Phys. Lett. B 267 (1991) 33; Mod. Phys. Lett. A 6 (1991) 3397; A. Sen, Phys. Lett. B 271 (1991) 295; S.F. Hassan and A. Sen, Nucl. Phys. B 375 (1992) 103; M. Gasperini and G. Veneziano, Phys. Lett. B 277 (1992) 256.
4. G. Veneziano, Phys. Lett. B 265 (1991) 287; A.A. Tseytlin, Mod. Phys. Lett. A 6 (1991) 1721; A.A. Tseytlin and C. Vafa, Nucl. Phys. B 372 (1992) 443; K.A. Meissner and G. Veneziano, Phys. Lett. B 267 (1991) 33; Mod. Phys. Lett. A 6 (1991) 3397; A. Sen, Phys. Lett. B 271 (1991) 295; S.F. Hassan and A. Sen, Nucl. Phys. B 375 (1992) 103; M. Gasperini and G. Veneziano, Phys. Lett. B 277 (1992) 256.
5. G. Veneziano, Phys. Lett. B 265 (1991) 287; A.A. Tseytlin, Mod. Phys. Lett. A 6 (1991) 1721; A.A. Tseytlin and C. Vafa, Nucl. Phys. B 372 (1992) 443; K.A. Meissner and G. Veneziano, Phys. Lett. B 267 (1991) 33; Mod. Phys. Lett. A 6 (1991) 3397; A. Sen, Phys. Lett. B 271 (1991) 295; S.F. Hassan and A. Sen, Nucl. Phys. B 375 (1992) 103; M. Gasperini and G. Veneziano, Phys. Lett. B 277 (1992) 256.
6. G. Veneziano, Phys. Lett. B 265 (1991) 287; A.A. Tseytlin, Mod. Phys. Lett. A 6 (1991) 1721; A.A. Tseytlin and C. Vafa, Nucl. Phys. B 372 (1992) 443; K.A. Meissner and G. Veneziano, Phys. Lett. B 267 (1991) 33; Mod. Phys. Lett. A 6 (1991) 3397; A. Sen, Phys. Lett. B 271 (1991) 295; S.F. Hassan and A. Sen, Nucl. Phys. B 375 (1992) 103; M. Gasperini and G. Veneziano, Phys. Lett. B 277 (1992) 256.
7. G. Veneziano, Phys. Lett. B 265 (1991) 287; A.A. Tseytlin, Mod. Phys. Lett. A 6 (1991) 1721; A.A. Tseytlin and C. Vafa, Nucl. Phys. B 372 (1992) 443; K.A. Meissner and G. Veneziano, Phys. Lett. B 267 (1991) 33; Mod. Phys. Lett. A 6 (1991) 3397; A. Sen, Phys. Lett. B 271 (1991) 295; S.F. Hassan and A. Sen, Nucl. Phys. B 375 (1992) 103; M. Gasperini and G. Veneziano, Phys. Lett. B 277 (1992) 256.
8. G. Veneziano, Phys. Lett. B 265 (1991) 287; A.A. Tseytlin, Mod. Phys. Lett. A 6 (1991) 1721; A.A. Tseytlin and C. Vafa, Nucl. Phys. B 372 (1992) 443; K.A. Meissner and G. Veneziano, Phys. Lett. B 267 (1991) 33; Mod. Phys. Lett. A 6 (1991) 3397; A. Sen, Phys. Lett. B 271 (1991) 295; S.F. Hassan and A. Sen, Nucl. Phys. B 375 (1992) 103; M. Gasperini and G. Veneziano, Phys. Lett. B 277 (1992) 256.
9. G. Veneziano, Ref. [1].
10. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
11. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
12. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
13. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
14. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
15. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
16. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
17. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
18. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
19. M. Gasperini and G. Veneziano, Astropart. Phys. 1 (1993) 317; Mod. Phys. Lett. A 8 (1993) 3701; Phys. Rev. D 50 (1994) 2519; 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. 53 (1996) 4247; E.J. Copeland, A. Lahiri and D. Wands, Phys. Rev. D 50 (1994) 4868; D 51 (1995) 223; J.D. Barrow and K.E. Kunze, Inhomogeneous String Cosmologies, Sussex preprint (hep-th/9701085).
20. A continuously updated collection of papers on the PBB scenario is available at 〈〈〈http://www.to.infn.it/teorici/ gasperini/.
21. N. Sanchez and G. Veneziano, Nucl. Phys. B 333 (1990) 253.
22. See also: B.A. Campbell, A. Linde and K.A. Olive, Nucl. Phys. B 355 (1991) 146.
23. M. Gasperini, M. Maggiore and G. Veneziano, Towards a non-singular pre-Big Bang cosmology, CERN-TH/96-267 (hep-th/9611039), to appear in Nucl. Phys. B; R. Brustein and R. Madden, Graceful exit and energy conditions in string cosmology, preprint BGU-PH-97/06 (hep-th/9702043).
24. M. Gasperini, M. Maggiore and G. Veneziano, Towards a non-singular pre-Big Bang cosmology, CERN-TH/96-267 (hep-th/9611039), to appear in Nucl. Phys. B; R. Brustein and R. Madden, Graceful exit and energy conditions in string cosmology, preprint BGU-PH-97/06 (hep-th/9702043).
25. R. Brustein et al., Phys. Lett. B 361 (1995) 45; for a recent comprehensive review, see: M. Gasperini, Relic gravitons from the Pre-Big-Bang: what we know and what we do not know, hep-th/9607146; M. Gasperini, M. Giovannini and G. Veneziano, Phys. Rev. Lett. 75 (1995) 3796; E.J. Copeland, R. Easther and D. Wands, Vacuum fluctuations in axion-dilaton cosmologies, SUSSEX-TH-97001 (hep-th/9701082).
26. R. Brustein et al., Phys. Lett. B 361 (1995) 45; for a recent comprehensive review, see: M. Gasperini, Relic gravitons from the Pre-Big-Bang: what we know and what we do not know, hep-th/9607146; M. Gasperini, M. Giovannini and G. Veneziano, Phys. Rev. Lett. 75 (1995) 3796; E.J. Copeland, R. Easther and D. Wands, Vacuum fluctuations in axion-dilaton cosmologies, SUSSEX-TH-97001 (hep-th/9701082).
27. R. Brustein et al., Phys. Lett. B 361 (1995) 45; for a recent comprehensive review, see: M. Gasperini, Relic gravitons from the Pre-Big-Bang: what we know and what we do not know, hep-th/9607146; M. Gasperini, M. Giovannini and G. Veneziano, Phys. Rev. Lett. 75 (1995) 3796; E.J. Copeland, R. Easther and D. Wands, Vacuum fluctuations in axion-dilaton cosmologies, SUSSEX-TH-97001 (hep-th/9701082).
28. R. Brustein et al., Phys. Lett. B 361 (1995) 45; for a recent comprehensive review, see: M. Gasperini, Relic gravitons from the Pre-Big-Bang: what we know and what we do not know, hep-th/9607146; M. Gasperini, M. Giovannini and G. Veneziano, Phys. Rev. Lett. 75 (1995) 3796; E.J. Copeland, R. Easther and D. Wands, Vacuum fluctuations in axion-dilaton cosmologies, SUSSEX-TH-97001 (hep-th/9701082).
29. See, e.g., Inflationary Cosmology, L.F. Abbot and So-Young Pi, eds. (World Scientific Publishing Co., 1986).
30. V.A. Belinskii and I.M. Khalatnikov, Sov. Phys. (JETP) 36 (1973) 591, and references therein.
31. N. Deruelle and D. Langlois, Phys. Rev. D 52 (1995) 2007; O. Iguchi and H. Ishihara, Onset of inflation in inhomogeneous cosmology, Tokyo preprint TIT/HEP-326/COSMO-71 (1997), and references therein.
32. N. Deruelle and D. Langlois, Phys. Rev. D 52 (1995) 2007; O. Iguchi and H. Ishihara, Onset of inflation in inhomogeneous cosmology, Tokyo preprint TIT/HEP-326/COSMO-71 (1997), and references therein.
33. J. Parry, D.S. Salopek and J.M. Stewart, Phys. Rev. D 49 (1994) 2872, and references therein.
34. L. Landau and E.M. Lifshitz, Théorie Classique des Champs (Ed. Mir, Moscow, 1989).
35. A. Linde, Phys. Lett. B 129 (1983) 177.
36. S.W. Hawking and R. Penrose, Proc. Roy. Soc. Lond. A 314 (1970) 529.