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Supersymmetric homogeneous quantum cosmologies coupled to a scalar field

J. Bene* and R. Graham

  • Fachbereich Physik, Universität Gesamthoschule Essen, D4300 Essen 1, Germany

  • *Permanent address: Institute for Solid State Physics, Eötvös University, Muzeum krt. 6-8, H-1088 Budapest, Hungary.
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Phys. Rev. D 49, 799 – Published 15 January, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.799

Abstract

Recent work on N=2 supersymmetric Bianchi type IX cosmologies coupled to a scalar field is extended to a general treatment of homogeneous quantum cosmologies with explicitly solvable momentum constraints, i.e., Bianchi types I, II, VII, VIII in addition to the Bianchi type IX, and special cases, namely the Friedmann universes, the Kantowski-Sachs space, and Taub-NUT space. In addition to the earlier explicit solution of the Wheeler-DeWitt equation for Bianchi type IX, describing a virtual wormhole fluctuation, an additional explicit solution is given and identified with the "no-boundary state."

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References (52)

  1. J. A. Wheeler, in Relativity, Groups and Topology, edited by C. DeWitt and B. DeWitt (Gordon and Breach, New York, 1964)
  2. B. S. DeWitt, Phys. Rev. 160, 1113 (1967)
  3. C. W. Misner, in Magic without Magic, edited by J. Klauder (Freeman, San Francisco, 1972)
  4. M. P. Ryan, Jr., Hamiltonian Cosmology (Springer Verlag, Berlin, 1972)
  5. M. P. Ryan, Jr., and L. C. Shepley, Homogeneous Relativistic Cosmologies (Princeton University Press, Princeton, 1975)
  6. J. B. Hartle and S. W. Hawking, Phys. Rev. D 28, 2960 (1983)
  7. A. Vilenkin, Phys. Rev. D 33, 3560 (1986)
  8. L. Bianchi, Mem. Soc. Ital. Sci. (Dei. XL) 11, 267 (1987)
  9. A. H. Taub, Ann. Math. 53, 472 (1951)
  10. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973)
  11. C. W. Misner, Phys. Rev. 186, 1319 (1969)
  12. R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation—An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962)
  13. R. Kantowski and R. K. Sachs, J. Math. Phys. (N.Y.) 7, 443 (1966)
  14. C. W. Misner and A. H. Taub, Zh. Eksp. Teor. Fiz. 55, 233 (1968) [Sov. Phys. JETP 28, 122 (1969)]
  15. E. Newman, L. Tamburino, and T. Unti, J. Math. Phys. (N.Y.) 4, 915 (1963)
  16. R. Graham and J. Bene, Phys. Lett. B 302, 183 (1993)
  17. R. Graham, Phys. Rev. Lett. 67, 1381 (1991)
  18. R. Graham, Phys. Lett. B 277, 393 (1992)
  19. J. Bene and R. Graham, in Quantum Physics and the Universe, edited by M. Namiki, Y. Aizawa, K. Maeda, and I. Ohba, Vistas in Astronomy Vol. 37 (Pergamon, Oxford, 1993)
  20. O. Obregón, J. Socorro, and J. Benitez, Phys. Rev. D 47, 4471 (1993)
  21. A. Macias, O. Obregon, and M. P. Ryan, Jr., Class. Quantum Grav. 4, 1477 (1987)
  22. P. D. D'Eath, S. W. Hawking, and O. Obregón, Phys. Lett. B 300, 44 (1993)
  23. P. D. D'Eath and D. I. Hughes, Phys. Lett. B 214, 498 (1988)
  24. P. D. D'Eath and D. I. Hughes, Nucl. Phys. B378, 381 (1992)
  25. J. Socorro, O. Obregón, and A. Macias, Phys. Rev. D 45, 2026 (1992)
  26. P. D. D'Eath, Phys. Rev. D 48, 713 (1993)
  27. M. Asano, M. Tanimoto, and N. Yoshino, Phys. Lett B 314, 303 (1993)
  28. R. Graham, Phys. Rev. D 48, 1602 (1993)
  29. H. Nicolai, J. Phys. A 9, 1497 (1976)
  30. E. Witten, Nucl. Phys. B188, 513 (1981)
  31. P. Salomonson and J. W. van Holten, Nucl. Phys. B196, 509 (1982)
  32. F. Cooper and B. Freedman, Ann. Phys. (N.Y.) 146, 262 (1983)
  33. M. de Crombrugghe and V. Rittenberg, Ann. Phys. (N.Y.) 151, 99 (1983)
  34. A. C. Davis, A. J. MacFarlane, P. C. Popat, and J. W. van Holten, J. Phys. A 17, 2945 (1984)
  35. M. Claudson and M. B. Halpern, Nucl. Phys. B250, 689 (1985)
  36. R. Graham and D. Roeckaerts, Phys. Rev. D 34, 2312 (1986)
  37. T. Banks, C. Bender, and T. T. Wu, Phys. Rev. D 8, 3346 (1973) ibid.8, 3366 (1973)
  38. G. W. Gibbons and C. N. Pope, Commun. Math. Phys. 66, 267 (1979)
  39. L. Brink, S. Deser, B. Zumino, P. Di Vecchia, and P. Howe, Phys. Lett. 64B, 435 (1976)
  40. N. A. Belinsky, G. W. Gibbons, D. N. Page, and C. N. Pope, Phys. Lett. 76B, 433 (1978)
  41. S. W. Hawking and D. N. Page, Phys. Rev. D 42, 2655 (1990)
  42. J. D. Brown and J. W. York, Jr., Phys. Rev. D 40, 3312 (1989)
  43. M. Henneaux and C. Teitelboim, Ann. Phys. (N.Y.) 143, 127 (1982)
  44. H. E. Kandrup, Class. Quantum Grav. 5, 903 (1988)
  45. J. Wess and J. Bagger, Supersymmetry and Supergravity (Princeton University Press, Princeton, 1992)
  46. S. W. Hawking, Nucl. Phys. B239, 257 (1984)
  47. S. W. Hawking and J. C. Lutrell, Phys. Lett. 143B, 83 (1984)
  48. W. A. Wright and I. G. Moss, Phys. Lett. 154B, 115 (1985)
  49. S. Del Campo and A. Vilenkin, Phys. Lett. B 224, 45 (1989)
  50. R. Graham and P. Szépfalusy, Phys. Rev. D 42, 2483 (1990)
  51. V. Moncrief and M. P. Ryan, Jr., Phys. Rev. D 44, 2375 (1991)
  52. M. F. Atiyah and N. J. Hitchin, The Geometry and Dynamics of Magnetic Monopoles (Princeton University Press, Princeton, 1988)

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Phys. Rev. D 49, 799– Published 15 January, 1994
  • Received 7 June 1993

© 1994 American Physical Society

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