M theory model of a big crunch/big bang transition

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 10, 2004, Pages

  Turok, Neil ^a   Perry, Malcolm ^a   Steinhardt, Paul J ^b,c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b PRINCETON UNIVERSITY   (United States)

^c INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; CALCULATION; COSMOS; DENSITY; DYNAMICS; ENERGY; GRAVITY; M THEORY MODEL; MEMBRANE; QUANTITATIVE ANALYSIS; QUANTUM MECHANICS; QUANTUM THEORY; TENSION; THEORETICAL MODEL; THEORETICAL STUDY; TIME; VELOCITY;

EID: 19944401843     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.106004     Document Type: Article

References (51)

1. J. Khoury, B. A. Ovrut, N. Seiberg, P. J. Steinhardt, and N. Turok, Phys. Rev. D 65, 086007 (2002).
2. G. T. Horowitz and A. R. Steif, Phys. Rev. D 42, 1950 (1990); Phys. Lett. B 258, 91 (1991).
3. G. T. Horowitz and A. R. Steif, Phys. Rev. D 42, 1950 (1990); Phys. Lett. B 258, 91 (1991).
4. A. J. Tölley and N. Turok, Phys. Rev. D 66, 106005 (2002).
5. J. Khoury, B. A. Ovrut, P. J. Steinhardt, and N. Turok, Phys. Rev. D 66, 046005 (2002).
6. P. S. Aspinwall, B. R. Greene, and D. R. Morrison, Nucl. Phys. B416, 414 (1994); E. Witten, Nucl. Phys. B403, 159 (1993).
7. P. S. Aspinwall, B. R. Greene, and D. R. Morrison, Nucl. Phys. B416, 414 (1994); E. Witten, Nucl. Phys. B403, 159 (1993).
8. J. Khoury, B. A. Ovrut, P. J. Steinhardt, and N. Turok, Phys. Rev. D 64, 123522 (2001).
9. P. J. Steinhardt and N. Turok, Science 296, 1436 (2002); Phys. Rev. D65, 126003 (2002).
10. P. J. Steinhardt and N. Turok, Science 296, 1436 (2002); Phys. Rev. D65, 126003 (2002).
11. P. J. Steinhardt and N. Turok, astro-ph/0404480.
12. J. K. Erickson, D. H. Wesley, P. J. Steinhardt, and N. Turok, Phys. Rev. D 69, 063514 (2004).
13. E. Witten, Nucl. Phys. B471, 135 (1996); B443, 85 (1995).
14. E. Witten, Nucl. Phys. B471, 135 (1996); B443, 85 (1995).
15. H. Liu, G. Moore, and N. Seiberg, J. High Energy Phys. 0206 (2002), 045; 0210 (2002), 031; O. Aharony, M. Fabinger, G. Horowitz, and E. Silverstein, J. High Energy Phys. 0207 (2002), 007; M. Fabinger and J. McGreevy, J. High Energy Phys. 0306 (2003), 042; M. Fabinger and S. Hellerman, hep-th/0212223; G. T. Horowitz and J. Polchinski, Phys. Rev. D 66, 103512 (2002); L. Cornalba and M. S. Costa, Phys. Rev. D 66, 066001 (2002); L. Cornalba, M. S. Costa, and C. Kounnas, Nucl. Phys. B637, 378 (2002); L. Cornalba and M. S. Costa, Classical Quantum Gravity 20, 3969 (2003).
16. H. Liu, G. Moore, and N. Seiberg, J. High Energy Phys. 0206 (2002), 045; 0210 (2002), 031; O. Aharony, M. Fabinger, G. Horowitz, and E. Silverstein, J. High Energy Phys. 0207 (2002), 007; M. Fabinger and J. McGreevy, J. High Energy Phys. 0306 (2003), 042; M. Fabinger and S. Hellerman, hep-th/0212223; G. T. Horowitz and J. Polchinski, Phys. Rev. D 66, 103512 (2002); L. Cornalba and M. S. Costa, Phys. Rev. D 66, 066001 (2002); L. Cornalba, M. S. Costa, and C. Kounnas, Nucl. Phys. B637, 378 (2002); L. Cornalba and M. S. Costa, Classical Quantum Gravity 20, 3969 (2003).
17. H. Liu, G. Moore, and N. Seiberg, J. High Energy Phys. 0206 (2002), 045; 0210 (2002), 031; O. Aharony, M. Fabinger, G. Horowitz, and E. Silverstein, J. High Energy Phys. 0207 (2002), 007; M. Fabinger and J. McGreevy, J. High Energy Phys. 0306 (2003), 042; M. Fabinger and S. Hellerman, hep-th/0212223; G. T. Horowitz and J. Polchinski, Phys. Rev. D 66, 103512 (2002); L. Cornalba and M. S. Costa, Phys. Rev. D 66, 066001 (2002); L. Cornalba, M. S. Costa, and C. Kounnas, Nucl. Phys. B637, 378 (2002); L. Cornalba and M. S. Costa, Classical Quantum Gravity 20, 3969 (2003).
18. H. Liu, G. Moore, and N. Seiberg, J. High Energy Phys. 0206 (2002), 045; 0210 (2002), 031; O. Aharony, M. Fabinger, G. Horowitz, and E. Silverstein, J. High Energy Phys. 0207 (2002), 007; M. Fabinger and J. McGreevy, J. High Energy Phys. 0306 (2003), 042; M. Fabinger and S. Hellerman, hep-th/0212223; G. T. Horowitz and J. Polchinski, Phys. Rev. D 66, 103512 (2002); L. Cornalba and M. S. Costa, Phys. Rev. D 66, 066001 (2002); L. Cornalba, M. S. Costa, and C. Kounnas, Nucl. Phys. B637, 378 (2002); L. Cornalba and M. S. Costa, Classical Quantum Gravity 20, 3969 (2003).
19. H. Liu, G. Moore, and N. Seiberg, J. High Energy Phys. 0206 (2002), 045; 0210 (2002), 031; O. Aharony, M. Fabinger, G. Horowitz, and E. Silverstein, J. High Energy Phys. 0207 (2002), 007; M. Fabinger and J. McGreevy, J. High Energy Phys. 0306 (2003), 042; M. Fabinger and S. Hellerman, hep-th/0212223; G. T. Horowitz and J. Polchinski, Phys. Rev. D 66, 103512 (2002); L. Cornalba and M. S. Costa, Phys. Rev. D 66, 066001 (2002); L. Cornalba, M. S. Costa, and C. Kounnas, Nucl. Phys. B637, 378 (2002); L. Cornalba and M. S. Costa, Classical Quantum Gravity 20, 3969 (2003).
20. H. Liu, G. Moore, and N. Seiberg, J. High Energy Phys. 0206 (2002), 045; 0210 (2002), 031; O. Aharony, M. Fabinger, G. Horowitz, and E. Silverstein, J. High Energy Phys. 0207 (2002), 007; M. Fabinger and J. McGreevy, J. High Energy Phys. 0306 (2003), 042; M. Fabinger and S. Hellerman, hep-th/0212223; G. T. Horowitz and J. Polchinski, Phys. Rev. D 66, 103512 (2002); L. Cornalba and M. S. Costa, Phys. Rev. D 66, 066001 (2002); L. Cornalba, M. S. Costa, and C. Kounnas, Nucl. Phys. B637, 378 (2002); L. Cornalba and M. S. Costa, Classical Quantum Gravity 20, 3969 (2003).
21. H. Liu, G. Moore, and N. Seiberg, J. High Energy Phys. 0206 (2002), 045; 0210 (2002), 031; O. Aharony, M. Fabinger, G. Horowitz, and E. Silverstein, J. High Energy Phys. 0207 (2002), 007; M. Fabinger and J. McGreevy, J. High Energy Phys. 0306 (2003), 042; M. Fabinger and S. Hellerman, hep-th/0212223; G. T. Horowitz and J. Polchinski, Phys. Rev. D 66, 103512 (2002); L. Cornalba and M. S. Costa, Phys. Rev. D 66, 066001 (2002); L. Cornalba, M. S. Costa, and C. Kounnas, Nucl. Phys. B637, 378 (2002); L. Cornalba and M. S. Costa, Classical Quantum Gravity 20, 3969 (2003).
22. H. Liu, G. Moore, and N. Seiberg, J. High Energy Phys. 0206 (2002), 045; 0210 (2002), 031; O. Aharony, M. Fabinger, G. Horowitz, and E. Silverstein, J. High Energy Phys. 0207 (2002), 007; M. Fabinger and J. McGreevy, J. High Energy Phys. 0306 (2003), 042; M. Fabinger and S. Hellerman, hep-th/0212223; G. T. Horowitz and J. Polchinski, Phys. Rev. D 66, 103512 (2002); L. Cornalba and M. S. Costa, Phys. Rev. D 66, 066001 (2002); L. Cornalba, M. S. Costa, and C. Kounnas, Nucl. Phys. B637, 378 (2002); L. Cornalba and M. S. Costa, Classical Quantum Gravity 20, 3969 (2003).
23. P. Hořava and E. Witten, Nucl. Phys. B460, 506 (1996); B475, 94 (1996).
24. P. Hořava and E. Witten, Nucl. Phys. B460, 506 (1996); B475, 94 (1996).
25. A. Lukas, B. A. Ovrut, and D. Waldram, Nucl. Phys. B495, 365 (1997).
26. A. J. Tolley, N. Turok, and P. J. Steinhardt, Phys. Rev. D 69, 106005 (2004).
27. P. A. M. Dirac, Lectures, on Quantum Mechanics, (Dover Publications, New York, 2004).
28. C. Bachas, Phys. Lett. B 374, 37 (1996).
29. M. Berkooz and B. Pioline, J. Cosmol. Astropart Phys. 0311 (2003), 007; M. Berkooz, B. Pioline, and M. Rozali, hep-th/0405126.
30. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), p. 686.
31. See, e.g., N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space-Time, (Cambridge University Press, Cambridge, England, 1982).
32. H. J. de Vega, I. Giannakis, and A. Nicolaidis, Mod. Phys. Lett. A 10, 2479 (1995); I. Antoniadis and G. Savvidy, hep-th/0402077, and references therein.
33. A. Nicolaidis, J. E. Paschalis, and P. I. Porfyriadis, Phys. Rev. D 58, 047901 (1998); , 58 047901 (1998).
34. A. Nicolaidis, J. E. Paschalis, and P. I. Porfyriadis, Phys. Rev. D 58, 047901 (1998); , 58 047901 (1998).
35. J. Heading; Phase Integral Methods (Methuen Physical Monographs, London, 1962), p. 85.
36. A. E. Lawrence and E. Martinec, Classical Quantum Gravity 13, 63 (1996);
37. S. S. Gubser, Phys. Rev. D 69, 123507 (2004).
38. K. Lee, Phys. Rev. Lett, 61, 263 (1988); S. Coleman and K. Lee, Nucl. Phys. B329, 387 (1990).
39. K. Lee, Phys. Rev. Lett, 61, 263 (1988); S. Coleman and K. Lee, Nucl. Phys. B329, 387 (1990).
40. S. Coleman, Phys. Rev. D15, 2929 (1977); C. G. Callan Jr. and S. Coleman, Phys. Rev. D 16, 1762 (1977).
41. S. Coleman, Phys. Rev. D15, 2929 (1977); C. G. Callan Jr. and S. Coleman, Phys. Rev. D 16, 1762 (1977).
42. G. W. Gibbons and K. Maeda, Nucl. Phys. B298, 741 (1988).
43. M. J. Duff, in Proceedings of hte 9th CRM Summer School: Theoretical Physics at the End of the 20th Century, Banff, Alberta, Canada, 1999, edited by Yvan Saint-Aubin and Luc Vinet (Springer-Verlag, New York, 2002), p. 127.
44. N. Turok, in The Future of Theoretical Physics and Cosmology: Celebrating Stephen Hawking's 60th Birthday, edited by G. W. Gibbons, E. P. S. Shellard, and S. J. Rankin (Cambridge University Press, Cambridge, England, 2003).
45. L. Cornalba and M. S. Costa, Fortschr. Phys. 52, 145 (2004).
46. R. Capovilla, J. Guven, and E. Rojas, hep-th/0404178; Nucl. Phys. (Proc. Suppl.) 88, 337 (2000).
47. J. A. Azcarraga, J. M. Izquierdo, and P. K. Townsend, Phys. Lett. B 267, 366 (1991); Phys. Rev. D 45, 3321 (1992).
48. J. A. Azcarraga, J. M. Izquierdo, and P. K. Townsend, Phys. Lett. B 267, 366 (1991); Phys. Rev. D 45, 3321 (1992).
49. J. Gutowski, G. Papadopoulos, and P. K. Townsend, Phys. Rev. D 60, 106006 (1999).
50. B. S. DeWitt, Rev. Mod. Phys. 29, 377 (1957); ,
51. in Relativity, Groups and Topology, Les Houches Lectures, 1963 (Gordon and Breach, New York, 1964).