Metric-affine gauge theory of gravity I. Fundamental structure and field equations

International Journal of Modern Physics D

Volumn 6, Issue 3, 1997, Pages 263-303

  Gronwald, Frank ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031499947     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271897000157     Document Type: Article

References (22)

1. É. Cartan, On Manifolds with an Affine Connection and the Theory of General Relativity, English translation of the French original (Bibliopolis, Napoli 1986).
2. T.-P. Cheng and L.-F. Li, Gauge Theory of Elementary Particle Physics (Clarendon Press, Oxford 1984).
3. Y. M. Cho, Phys. Rev. D14, 2521 (1976).
4. T. Eguchi, P. B. Gilkey, and A. J. Hanson, Phys. Rep. 66, 213 (1980).
5. R. Feynman, Lectures on Gravitation, Lecture notes by F. B. Morinigo and W. G. Wagner (California Institute of Technology, Pasadena, California 1962/63).
6. M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory, Vols. I+II (Cambridge University Press, Cambridge 1987).
7. F. W. Hehl, J. D. McCrea, E. W. Mielke, and Y. Ne'eman, Phys. Rep. 258, 1 (1995).
8. F. W. Hehl and F. Gronwald, "Gauge Theory of Gravity, II. Some Exact Solutions of Metric-Affine Gravity," in preparation.
9. T. W. B. Kibble, J. Math. Phys. 2, 212 (1961).
10. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I (Interscience Publ., New York 1963).
11. W. Kopczyński, J. Phys. A15, 493 (1982).
12. R. Mills, American J. Physics 57, 493 (1989).
13. Y. Ne'eman, Ann. Inst. Henri Poincaré A28, 369 (1978).
14. Y. Ne'eman and Dj. Šijački, Phys. Lett. B157, 267 (1985).
15. Y. Ne'eman and Dj. Šijački, Phys. Rev. D37, 3267 (1988).
16. D. W. Sciama, "On the analogy between charge and spin in general relativity," in Recent Developments in General Relativity (Pergamon+PWN, Oxford 1962) p. 415.
17. D. W. Sciama, Rev. Mod. Phys. 36, 463 (1964); 36, 1103 (1964).
18. D. W. Sciama, Rev. Mod. Phys. 36, 463 (1964); 36, 1103 (1964).
19. A. Trautman, Differential Geometry for Physicists, Stony Brook Lectures (Bibliopolis, Napoli 1984).
20. R. Utiyama, Phys. Rev. 101, 1597 (1956).
21. P. van Nieuwenhuizen, Phys. Rep. 68, 189 (1981).
22. E. Witten, Comm. Math. Phys. 117, 353 (1988).