- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Inequivalence of five-dimensional relativity and Brans-Dicke theory

Allan E. Moose

Henry F. Ahner

  • Adelphi University, Garden City, New York 11530 and Southampton College of Long Island University, Southampton, New York 11968

  • Adelphi University, Garden City, New York 11530

PDF

Phys. Rev. D 26, 1275 – Published 15 September, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.1275

Abstract

We present a static spherically symmetric solution to the field equations RAB=0 in five-dimensional relativity and use it to demonstrate a significant inequivalence between five-dimensional relativity and the Brans-Dicke scalar-tensor theory.

View figure in article

References (33)

  1. Th. Kaluza, Sitzungber. Preuss. Akad. Wiss. 966 (1921) O. Klein, Z. Phys. 37, 895 (1926)
  2. [7,12]
  3. O. Klein, Nature 118, 516 (1927)
  4. A. Einstein and P. Bergmann, Ann. Math. 39, 683 (1938)
  5. A. Trautman, in General Relativity and Gravitation, edited by A. Held (Plenum, New York, 1980), p. 288
  6. J. M. Souriau, Geometrie and Relativite (Hermann, Paris, 1964), p. 412
  7. A. Chodos and S. Detweiler, Phys. Rev. D 21, 2167 (1980)
  8. P. Jordan, Schwerkraft und Weltall (Vieweg, Braun-schweig, 1955)
  9. Y. Thiry, C. R. Acad. Sci. Ser. B 226, 216 (1948)
  10. J. G. Miller, in Quantum Theory and Gravitation, edited by A. R. Marlow (Academic, New York, 1980), p. 221
  11. D. Maison and S. J. Orfanidis, Phys. Rev. D 15, 3608 (1977)
  12. A. Salam, Science 210, 723 (1980)
  13. T. Bradfield and R. Kantowski, J. Math. Phys. 23, 128 (1982)
  14. Allan Moose, Ph.d. thesis, Adelphi University, 1975 (unpublished)
  15. J. C. Graves, The Conceptual Foundations of Contemporary Relativity Theory (MIT Press, Cambridge, 1971)
  16. A. Chodos and S. Detweiler, Gen. Relativ. Gravit. (to be published)
  17. P. Dobiasch and D. Maison, Gen. Relativ. Gravit. 14, 231 (1982)
  18. Chodos and Detweiler ([16])
  19. C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961)
  20. V. Bargmann, Rev. Mod. Phys. 29, 161 (1957) P. G. Bergmann, Ann. Math. 49, 255 (1948) A. Lichnerowicz, Theories Relativistes de la Gravitation et de Electromagnetisme (Masson, Paris, 1955) E. Leibowitz and N. Rosen, Gen. Relativ. Gravit. 4, 449 (1973) J. M. Souriau, Nuovo Cimento 30, 565 (1963) J. M. Souriau, Geometrie et Relativite (Hermann, Paris, 1964)
  21. E. Leibowitz and N. Rosen, Gen. Relativ. Gravit. 4, 451 (1973)
  22. P. Bergmann [Ann. Math. 49, 225 (1948)] [Int. J. Theor. Phys. 1, 25 (1968)]
  23. V. Bargmann, Rev. Mod. Phys. 29, 1961 (1957)
  24. J. L. Anderson, Phys. Rev. D 3, 1689 (1971)
  25. E. R. Harrison, Phys. Rev. D 6, 2077 (1972)
  26. R. E. Morganstern, Phys. Rev. D 1, 2969 (1970)
  27. J. O'Hanlon and B. O. J. Tupper, Nuovo Cimento 14B, 190 (1973)
  28. J. G. Miller, in Quantum Theory and Gravitation, edited by A. R. Marlow (Academic, New York, 1980)
  29. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Chap. 14
  30. H. G. Ellis, J. Math. Phys. 14, 104 (1973)
  31. G. K. Goswami, J. Math. Phys. 19, 422 (1978)
  32. C. H. Brans, Phys. Rev. 125, 2194 (1962)
  33. K. S. Thorne and J. J. Dykla, Astrophys. J. 166, 35 (1971)

Outline

Information

Phys. Rev. D 26, 1275– Published 15 September, 1982
  • Received 15 March 1982

© 1982 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation