The theory of Kaluza-Klein-Jordan-Thiry revisited

 Access to full text

 Full (PDF)

1. [1] Th. Kaluza, Zum Unitätsproblem der Physik, Sitz. Preuss. Akad. Wiss.1921, p. 966; one can find an English translation in: Unified Fields Theories of More Than 4 Dimensions, World Scientific, Singapore, 1983. JFM48.1032.03
2. [2] O. Klein, Quantentheorie und fünfdimensionale Relativitätstheorie, Z. Phys., Vol. 37, 1926, p. 895; one can find an English translation in: Unified Field Theories of More Than 4 Dimensions, World Scientific, Singapore, 1983. JFM52.0970.09
3. [3] P. Jordan, Zur projektiven Relativitätstheorie, Nachr. Akad. Wiss. Göttingen, 1945, p. 74. Zbl0063.03078MR22475
4. [4] Y. Thiry, Étude mathématique des équations d'une théorie à 15 variables de champ, Thèse, Paris, 1950, p. 21 and J. Math. Pure Appl., 9e série, T. 30, 1951, p. 275. Zbl0045.45403MR46790
5. [5] E. Witten, Search for a Realistic Kaluza-Klein Theory, Nucl. Phys. B, Vol. 186, 1981, p. 412. Zbl1156.83330MR624244
6. [6] A. Salam and J. Strathdee, On Kaluza-Klein Theory, Ann. Phys., Vol. 141, 1982, p. 316. MR673985
7. [7] P. Van Nieuwenhuizen, An Introduction to Simple Supergravity and the Kaluza-Klein Program, Les Houches, Session XL, 1983, pp. 823-932. Zbl0594.53055MR830250
8. [8] M.J. Duff, B.E.W. Nilsson and C.N. Pope, Kaluza-Klein Supergravity, Phys. Rep., Vol. 130, No. 1, 1986, pp. 1-142. MR822171
9. [9] M.J. Duff, Kaluza-Klein Theories and Superstrings, Les Hatches, Session XLIV, 1985, pp. 819-903. 
10. [10] P. Jordan, Schwerkraft und Weltall, Fried, Vieweg & Sohn, Braunschweig, 1955. Zbl0065.20703
11. [11] A. Lichnerowicz, Théories relativistes de la gravitation et de l'électromagnétisme, Masson, Paris, 1955. Zbl0065.20704
12. [12] M.-A. Tonnelat, Les théories unitaires de l'électromagnétisme et de la gravitation, Gauthier-Villars, Paris, 1965. Zbl0142.24004MR208981
13. [13] K. Just, The Motion of Mercury According to the Theory of Thiry and Lichnerowicz, Z. Nat., Vol. 14, 1959, p. 751. 
14. [14] F. Hennequin, Étude mathématique des approximations en Relativité Générale et en théorie unitaire de Jordan-Thiry, Thèse, Paris, 1956 and Gauthier-Villars, 1958, p. 46. MR121211
15. [15] H. Leutwyler, Sur une modification des théories pentadimensionnelles destinée à éviter certaines difficultés de la théorie de Jordan-Thiry, C. R. Acad. Sci. Paris, T. 251, 1960, pp. 2292-2294. Zbl0096.22502MR118479
16. [16] P. Pigeaud, Ann. Inst. Fourier, Vol. 13, 1963, pp. 181-217 and Rep. Math. Phys., Vol. 14, 1978. Zbl0122.45701MR151295
17. [17] E. Schmutzer, Teubner, Verlag, Leipzig, 1968, Chap. X. 
18. [18] R. Coquereaux and A. Jadczyk, Riemannian Geometry, Fiber Bundles, Kaluza-Klein Theories and All That, World Scientific, Lect. Notes Phys., 1988 and Consistency of the G-Invariant Kaluza-Klein Scheme, Nucl. Phys. B, Vol. 276, 1986, pp. 617-628. Zbl0734.53002MR856538
19. [19] W. Pauli, Ann. Physik, Vol. 18, 1933, p. 305. Zbl0007.42506
20. [20] M. Fierz, Helv. Phys. Acta, Vol. 29, 1956, pp. 128-134. Zbl0071.22007MR80000
21. [21] D. Brill, Review of Jordan's Extended Theory of Gravitation in Proceedings of the International School of Physics Enrico Fermi, XX; Evidence for Gravitational Theories, 1962, p. 50. 
22. [22] S.W. Hawking and G.F. Ellis, The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge, 1973, p. 69. Zbl0265.53054MR424186
23. [23] S. Weinberg, Gravitation and Cosmology, Wiley, 1972. 
24. [24] Result quoted in: I.I. Shapiro, Ch.C. Counselman and R.W. King, Verification of the Principle of Equivalence for Massive Bodies, Phys. Rev. Lett., Vol. 36, No. 11, 1976, pp. 555-558. See also the previous-result (1.005±0.007) in I.I. Shapiro, G.H. Pettengill, M.E. Ash, R.P. Ingalls, D.B. Campbell and R.B. Dyce, Mercury's Perihelion Advance: Determination by Radar, Phys. Rev. Lett., Vol. 28, 1972, pp. 1594- 1597. 
25. [25] C.M. Will, Theory and Experiment in Gravitational Physics, Cambridge University Press, Cambridge, 1981. MR778909
26. [26] Ch.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation, Freeman, New York, 1973. MR418833