Infinitesimal holonomy group structure and geometrization

L. K. Norris; W. R. Davis

Annales de l'I.H.P. Physique théorique (1979)

  • Volume: 31, Issue: 4, page 387-398
  • ISSN: 0246-0211

How to cite

top

Norris, L. K., and Davis, W. R.. "Infinitesimal holonomy group structure and geometrization." Annales de l'I.H.P. Physique théorique 31.4 (1979): 387-398. <http://eudml.org/doc/76056>.

@article{Norris1979,
author = {Norris, L. K., Davis, W. R.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {general relativity; Gauge fields; holonomy groups},
language = {eng},
number = {4},
pages = {387-398},
publisher = {Gauthier-Villars},
title = {Infinitesimal holonomy group structure and geometrization},
url = {http://eudml.org/doc/76056},
volume = {31},
year = {1979},
}

TY - JOUR
AU - Norris, L. K.
AU - Davis, W. R.
TI - Infinitesimal holonomy group structure and geometrization
JO - Annales de l'I.H.P. Physique théorique
PY - 1979
PB - Gauthier-Villars
VL - 31
IS - 4
SP - 387
EP - 398
LA - eng
KW - general relativity; Gauge fields; holonomy groups
UR - http://eudml.org/doc/76056
ER -

References

top
  1. [1] S. Weinberg, Phys. Rev. Lett., t. 19, 1967, p. 1264; A. Salam, Nobel Symposium, Ed. N. Svartholm, Almqvist and Wiksell, Stochkolm, 1968. 
  2. [2] E.S. Abers and B.W. Lee, Phys. Rep., t. 9C, 1973, p. 1. 
  3. [3] A. Salam, in Physics and Contemporary Needs, Ed. Riazuddin, Plenum, New York, Vol. I, 1977, p. 301; Vol. II, 1978, p. 419. 
  4. [4] A. Trautman, Czech. J. Phys., t. B29, 1979, p. 107. MR532495
  5. [5] J.F. Schell, J. Math. Phys., t. 2, 1961, p. 202. Zbl0096.21903MR125533
  6. [6] J.N. Golberg and R.P. Kerr, J. Math. Phys., t. 2, 1961, p. 327, 332. Zbl0097.42305
  7. [7] H.G. Loos, Ann. Phys., t. 36, 1966, p. 486. MR205653
  8. [8] H.G. Loos, Nuc. Phys., t. 72, 1965, p. 677; J. Math. Phys., t. 8, 1967, p. 2114. Zbl0155.57002MR213128
  9. [9] A. Nijenhuis, Indag. Math., t. 15, 1953, p. 233, 241. MR63737
  10. [10] J.A. Schouten, Ricci Calculus, Springer-Verlag, Berlin, Heidelberg and Göttingen, 1954. Zbl0057.37803MR516659
  11. [11] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, John Wiley, Interscience, New York and London, 1963. Zbl0119.37502MR152974
  12. [12] A. Lichnerowicz, Global Theory of Connections and Holonomy Groups, Ed. M. Cole, Noordhoff International, Leyden, 1976. Zbl0337.53031MR413000
  13. [13] See, for example, F.W. Hehl, P. Von Der Heyde, G.D. Kerlick and J.M. Nester, Rev. Mod. Phys., t. 48, 1976, p. 393; F.W. Hehl, Y. Ne'eman, J. Nitsch and P. Von Der Heyde, Phys. Lett., t. 78B, 1978, p. 102. 
  14. [14] F.W. Hehl, J. Nitsch and P. Von Der Heyde, Gravitation and Poincaré Field Theory with Quadratic Lagrangian to appear in Einstein commemorative volume, 1979 (preprint). 
  15. [15] W.K. Atkins, W.M. Baker and W.R. Davis, Phys. Lett., 61A, 1977, p. 363. MR462433
  16. [16] W.R. Davis, W.K. Atkins and W.M. Baker, Nuovo Cimento, 44B, 1978, p. 23. 
  17. [17] M. Kaku, P.K. Townsend and P. Van Nieuwenhuizen, Phys. Lett., t. 69B, 1977, p. 304. MR446293
  18. [18] F. Mansouri, Phys. Rev. Lett., t. 42, 1979, p. 1021. 
  19. [19] P.B. Yasskin, Phys. Rev. D, t. 12, 1975, p. 2212. MR475678
  20. [20] K. Borchsenius, Phys. Rev. D, t. 13, 1976, p. 2707. MR446318
  21. [21] S.W. Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge, 1973, p. 85. Zbl0265.53054MR424186
  22. [22] W. Drechsler and M.E. Mayer, Fibre Bundle Techniques in Gauge Theories, Springer–Verlag, Berlin, Heidelberg and New York, 1977. Zbl0364.55009
  23. [23] C.N. Yang, Phys. Rev. Lett., t. 33, 1974, p. 445. MR401005
  24. [24] P. Olesen, Phys. Lett., t. 71B, 1977, p. 189. MR496399
  25. [25] G.Y. Rainich, Trans. Am. Math. Soc., t. 27, 1925, p. 106. MR1501302JFM51.0713.08
  26. [26] C.W. Misner and J.A. Wheeler, Ann. Phys., t. 2, 1957, p. 525. Zbl0078.19106MR93387
  27. [27] T. Eguchi, Phys. Rev. D, t. 13, 1976, p. 1511. MR468920
  28. [28] L. Castillejo, M. Kugler and R.Z. Roskies, Phys. Rev. D, t. 19, 1979, p. 1782. MR530326
  29. [29] L.K. Norris and W.R. Davis, « The Infinitesimal Holonomy Group Structure of Einstein-Maxwell Space-times », Nuovo Cimento (in press, 1979). MR554653

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.