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Applied Quantum Gravity: Applications of the Semiclassical Theory

  • Leonard Parker
Chapter
Part of the Studies in the Natural Sciences book series (SNS)

Abstract

For many purposes it is sufficient to treat the Einstein gravitational field classically, while quantizing the other particle fields. One can generally handle the infinities arising from the curvature of spacetime in such a theory, and come out with definite results. Such results have a fairly wide range of applicability, including the strong gravitational fields that exist near black holes and in the very early universe.

Keywords

Black Hole Field Equation Early Universe Baryon Number Back Reaction 
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References

  1. J.L. Adler, J. Lieberman, and Y.J. Ng, Ann. Phys. (N.Y.) 106, 279 (1977).MathSciNetADSCrossRefGoogle Scholar
  2. J. Barrows, Mon. Nat. Roy. Astron. Soc. 175, 359 (1976).ADSGoogle Scholar
  3. J.D. Bekenstein, Phys. Rev. D7, 2333 (1973).MathSciNetADSGoogle Scholar
  4. J.D. Bekenstein, Phys. Rev. D9, 3292 (1974).ADSGoogle Scholar
  5. C. Bernard and A. Duncan, Ann. Phys. (N.Y.) 107, 201 (1977).ADSMATHCrossRefGoogle Scholar
  6. N. Birrell, Proc. Roy. Soc. B361, 513 (1978).ADSGoogle Scholar
  7. L.S. Brown, Phys. Rev. D15, 1469 (1977).ADSGoogle Scholar
  8. L.S. Brown and J.P. Cassidy, Phys. Rev. D16, 1712 (1977).ADSGoogle Scholar
  9. M. Brown, Univ. of Texas report (1978).Google Scholar
  10. T.S. Bunch, J. Phys. A11, 603 (1978).MathSciNetADSGoogle Scholar
  11. T.S. Bunch, J. Phys. A (in press, 1979).Google Scholar
  12. T.S. Bunch and P.C.W. Davies, Proc. Roy. Soc. A351, 381 (1977).ADSGoogle Scholar
  13. T.S. Bunch and P.C.W. Davies, J. Phys. A11, 1315 (1978).MathSciNetADSGoogle Scholar
  14. P. Candelas and D.J. Raine, Phys. Rev. D12, 965 (1975).ADSGoogle Scholar
  15. P.M. Capper and M.J. Duff, Nuovo Cim. A23, 173 (1974).ADSCrossRefGoogle Scholar
  16. P.M. Capper, Phys. Lett. 53A, 361 (1975).ADSGoogle Scholar
  17. B.J. Carr, Astrophys. J. 201, 1 (1975).ADSCrossRefGoogle Scholar
  18. B.J. Carr and S.W. Hawking, Mon. Nat. R. Astron. Soc. 168, 399 (1974).ADSGoogle Scholar
  19. G.F. Chapline, Phys. Rev. D12, 2949 (1975).ADSGoogle Scholar
  20. G.F. Chapline, Nature 253., 251 (1975).ADSCrossRefGoogle Scholar
  21. S.M. Christensen, Phys. Rev. D14, 2490 (1976).ADSGoogle Scholar
  22. S.M. Christensen and S.A. Fulling, Phys. Rev. D15, 2088 (1977).ADSGoogle Scholar
  23. P.C.W. Davies, Proc. R. Soc. London A353, 499 (1977).ADSGoogle Scholar
  24. P.C.W. Davies and S.A. Fulling, Proc. Roy. Soc. A354, 59 (1977).MathSciNetADSGoogle Scholar
  25. P.C.W. Davies, S.A. Fulling, and W.G. Unruh, Phys. Rev. D13, 2720 (1976).ADSGoogle Scholar
  26. S. Dimopoulos and L. Susskind, Phys. Rev. (in press, 1978).Google Scholar
  27. S. Deser, M.J. Duff, and C.J. Isham, Nucl. Phys. B111, 45 (1976).MathSciNetADSCrossRefGoogle Scholar
  28. S. Deser and P. van Nieuwenhuizen, Phys. Rev. Lett. 32, 245 (1974).ADSCrossRefGoogle Scholar
  29. B.S. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, N.Y., 1964); Phys. Reports 19C, 295 (1975).Google Scholar
  30. A.G. Doroshkevish, V.N. Lukash, and I.D. Novikov, Zh. E.T.F. 64, 1457 (1973).Google Scholar
  31. A.G. Doroshkevish, [Sov. Phys.-JETP 37, 739 (1973)].ADSGoogle Scholar
  32. A.G. Doroshkevish, Astron. Zh. 51, 940 (1974).ADSGoogle Scholar
  33. A.G. Doroshkevish, [Sov. Astron.-AJ 18, 544 (1975)].ADSGoogle Scholar
  34. A.G. Doroshkevich, Ya. B. Zeldovich, and I.D. Novikov, Zh. E.T.F. 53, 644 (1967).Google Scholar
  35. [Sov. Phys.-JETP 26, 408 (1968)].Google Scholar
  36. J.S. Dowker and R. Critchley, Phys. Rev. D13., 3224 (1976).MathSciNetADSGoogle Scholar
  37. J.S. Dowker and R. Critchley, J. Phys. A9, 535 (1976).MathSciNetADSGoogle Scholar
  38. J.S. Dowker and R. Critchley, Phys. Rev. D15, 1484 (1977).ADSGoogle Scholar
  39. J.S. Dowker and R. Critchley, Phys. Rev. D16, 3390 (1977).ADSGoogle Scholar
  40. J. Ellis, M.K. Gaillard, and D.V. Nanopoulos, “Baryon Number Generation in Grand Unified Theories”, preprint Ref.Th. 2596-CERN, 1978.Google Scholar
  41. L. Ford, Phys. Rev. D12, 2963 (1975).ADSGoogle Scholar
  42. L.H. Ford and L. Parker, Phys. Rev. D17, 1485 (1978).MathSciNetADSGoogle Scholar
  43. E.S. Fradkin and G.A. Vilkowisky, Phys. Lett. 73B, 209 (1978).ADSGoogle Scholar
  44. S.A. Fulling and L. Parker, Ann. Phys. (N.Y.) 87, 176 (1974).ADSCrossRefGoogle Scholar
  45. S.A. Fulling, L. Parker, and B.L. Hu, Phys. Rev. D10, 3905 (1974).MathSciNetADSGoogle Scholar
  46. H. Georgi and S. Glashow, Phys. Rev. Lett. 32, 438 (1974).ADSCrossRefGoogle Scholar
  47. G.W. Gibbons, Commun. Math. Phys. (to appear 1979).Google Scholar
  48. L.P. Grishchuk, A.G. Doroshkevich, and I.D. Novikov, Zh. ETF 55., 2281.Google Scholar
  49. [Sov. Phys.-JETP 28, 1210 (1969)].Google Scholar
  50. J.B. Hartle, Phys. Rev. Lett. 39, 1373 (1977).ADSCrossRefGoogle Scholar
  51. J.B. Hartle and S.W. Hawking, Phys. Rev. D13, 2188 (1976).ADSGoogle Scholar
  52. S.W. Hawking, Nature 248, 30 (1974).ADSCrossRefGoogle Scholar
  53. S.W. Hawking, Commun. Math. Phys. 43, 199 (1975).MathSciNetADSCrossRefGoogle Scholar
  54. S.W. Hawking, Commun. Math. Phys. 55, 133 (1977).MathSciNetADSMATHCrossRefGoogle Scholar
  55. G.’ t Hooft and M. Veltman, CERN Report No. TH 1723 (1973).Google Scholar
  56. B.L. Hu, Phys. Rev. D18, 4460 (1978).ADSGoogle Scholar
  57. B.L. Hu and L. Parker, Phys. Rev. D17, 933 (1978).ADSGoogle Scholar
  58. A. Ignatiev, N. Krasnikov, V. Kuzmin, and A. Tavkhelidze, Phys. Lett. 76B, 436 (1978).ADSGoogle Scholar
  59. V.A. Kuzmin, Zh. ETF Pis’ma 13., 335 (1970).ADSGoogle Scholar
  60. V.N. Lukash and A.A. Starobinsky, Zh. E.T.F. 66, 1515 (1974).Google Scholar
  61. [Sov. Phys.-JETP 32, 742 (1974)].Google Scholar
  62. D. Olson, report, Cornell Univ., 1977 (unpublished).Google Scholar
  63. D.N. Page, Phys. Rev. D13, 198 (1976)ADSGoogle Scholar
  64. D.N. Page, Phys. Rev. D14, 3260 (1976).ADSGoogle Scholar
  65. D.N. Page and S.W. Hawking, preprint OAP-U3O (1975).Google Scholar
  66. N.J. Papastamatiou and L. Parker, Phys. Rev. (1978, in press).Google Scholar
  67. L. Parker, Ph.D. Thesis, Harvard University 1966.Google Scholar
  68. L. Parker, Phys. Rev. Lett. 21, 562 (1968).ADSCrossRefGoogle Scholar
  69. L. Parker Phys. Rev. 183, 1057 (1969).ADSMATHCrossRefGoogle Scholar
  70. L. Parker Phys. Rev. D3, 346 (1971).ADSGoogle Scholar
  71. L. Parker, Phys. Rev. D7, 976 (1973).ADSGoogle Scholar
  72. L. Parker, “Production of Particles by Strong Gravitational Fields”, in Asymptotic Structure of Space-Time, edited by F.P. Esposito and L. Witten (Plenum, N.Y., 1977); for discussion of the matter-antimatter problem see pp. 118 and 160.Google Scholar
  73. L. Parker, “Aspects of Quantum Field Theory in Curved Spacetime: Effective Action and Energy-Momentum Tensor”, in Proc. of NATO Advanced Study Institute on Gravitation, ed. by M. Levy and S. Deser (Plenum, N.Y., 1979).Google Scholar
  74. L. Parker and S.A. Fulling, Phys. Rev. D7, 2357 (1973).ADSGoogle Scholar
  75. L. Parker and S.A. Fulling, Phys. Rev. D9, 341 (1974).MathSciNetADSGoogle Scholar
  76. J. Pati and A. Salam, Phys. Rev. D8, 1240 (1973).ADSGoogle Scholar
  77. J. Pati and A. Salam, D10, 275 (1974).Google Scholar
  78. A.D. Sakharov, Zh. ETF Pis’ma 5, 32 (1967).ADSGoogle Scholar
  79. A.D. Sakharov, Sov. Phys.-JETP Lett. 5, 24 (1967).ADSGoogle Scholar
  80. D. Schramm and R.V. Wagoner, Ann. Rev. Nucl. Sci. 27, 37 (1977).ADSCrossRefGoogle Scholar
  81. E. Schrödinger, Physics 6, 899 (1939).Google Scholar
  82. E. Schrödinger, Proc. Roy. Irish Acad. 46, 25 (1940).MATHGoogle Scholar
  83. R.U. Sexl and H.K. Urbantke, Phys. Rev. 179, 1247 (1969).ADSCrossRefGoogle Scholar
  84. G. Steigman, Annual Review of Astronomy and Astrophysics 14, 339 (1976).ADSCrossRefGoogle Scholar
  85. B. Toussaint, S.B. Treiman, F. Wilczek, and A. Zee, Phys. Rev. (1978, in press).Google Scholar
  86. H.S. Tsao, Phys. Lett. 68B, 79 (1977).ADSGoogle Scholar
  87. W.G. Unruh, Phys. Rev. D10, 3194 (1974).ADSGoogle Scholar
  88. A. Vilenkin, Nuovo Cim. 44A, 441 (1978).ADSCrossRefGoogle Scholar
  89. R.M. Wald, Commun. Math. Phys. 54, 1 (1977).MathSciNetADSMATHCrossRefGoogle Scholar
  90. R.M. Wald, Ann. Phys. (N.Y.) 110, 472 (1978).ADSMATHCrossRefGoogle Scholar
  91. R.M. Wald, Phys. Rev. D17, 1477 (1978).MathSciNetADSGoogle Scholar
  92. S. Weinberg in Lectures on Particles and Field Theory, ed. by S. Deser and K. Ford (Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964), p. 482.Google Scholar
  93. S. Weinberg, “Cosmologieal Production of Baryons”, Harvard preprint HUTP-78/A040, 1978.Google Scholar
  94. M. Yoshimura, Phys. Rev. Lett. 41, 381 (1978).ADSCrossRefGoogle Scholar
  95. Ya. B. Zeldovich, Zh. E.T.F. Pis’ma Rad. 12, 443 (1970).ADSGoogle Scholar
  96. Ya. B. Zeldovich, [Sov. Phys.-JETP Lett. 12, 307 (1970)].ADSGoogle Scholar
  97. Ya. B. Zeldovich and A.A. Starobinsky, Zh. ETF 61, 2161 (1971).ADSGoogle Scholar
  98. Ya. B. Zeldovich [Sov. Phys.-JETP 34, 1159 (1972)].ADSGoogle Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • Leonard Parker
    • 1
  1. 1.University of Wisconsin-MilwaukeeMilwaukeeUSA

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