Chern-Simons solution of the ashtekar constraints for the teleparallelism equivalent of gravity

Acta Physica Polonica B

Volumn 29, Issue 4, 1998, Pages 871-880

  Mielke, E W ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000780908     PISSN: 05874254     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (37)

1. D. Armand-Ugon, R. Gambini, O. Obregon, J. Pullin, Nucl. Phys. B 460, 615 (1996).
2. A. Ashtekar, Phys. Rev. Lett. 57, 2244 (1986); New Perspectives in Canonical Gravity, Bibliopolis, Napoli 1988; Lectures on Non-perturbative Canonical Gravity World Scientific, Singapore 1991.
3. A. Ashtekar, Phys. Rev. Lett. 77, 4864 (1996).
4. P. Baekler, E.W. Mielke, Fortschr. Phys. 36, 549 (1988).
5. P. Baekler, E.W. Mielke, F.W. Hehl, Nuovo Cimenta 107B, 91 (1992).
6. B. Brügmann, R. Gambini, J. Pullin, Nucl. Phys. B385, 587 (1992).
7. E. Cartan: On Manifolds with an Affine Connection and the Theory of General Relativity, Bibliopolis, Napoli 1986, English translation of the French original; for a book review, see F.W. Hehl, Gen. Relativ. Gravitation 21, 315 (1989).
8. O. Chandia, J. Zanelli, Phys. Rev. D55, 7580 (1997).
9. P. Cotta-Ramusino, E. Guadagnini, M. Martellini, M. Mintchev, Nucl. Phys. B330, 557 (1990);
10. E. Guadagnini, M. Martellini, M. Mintchev, Nucl. Phys. B330, 575 (1990).
11. J. Griego, Phys. Rev. D53, 6966 (1996).
12. E. Guadagnini: The Link Invariants of the Chern-Simons Field Theory, ed. de Gruyter, Berlin 1993.
13. F.W. Hehl, J.D. McCrea, E.W. Mielke, Y. Ne'eman, Found. Phys. 19, 1075 (1989); Phys. Rep. 258, 1 (1995).
14. A.C. Hirshfeld, U. Sassenberg, J. Knot Theory and its Ramifications 5, 805 (1996).
15. H. Kodama, Phys. Rev. D42, 2548 (1990).
16. W. Kopczyñski, J. Phys. A15, 493 (1982); cf. J.M. Nester, Classical Quantum Gravity 5, 1003 (1988).
17. A. Macias, E.W. Mielke, H.A. Morales-Técotl, in: New Frontiers in Gravitation, ed. G.A. Sardanashvily, Hadronic Press, Palm Harbor, FL 1996, pp. 227-242.
18. E.W. Mielke, Gen. Relativ. Gravitation 8, 175 (1977). [reprinted in: Knots and Applications, ed. L.H. Kaufiman, World Scientific, Singapore 1995, p. 229-250] .
19. E.W. Mielke, Phys. Lett. A149, 345 (1990);
20. Phys. Rev. D42, 3388 (1990).
21. E.W. Mielke, Ann. Phys. (N.J.) 219, 78 (1992).
22. E.W. Mielke, J.D. McCrea, Y. Ne'eman, F.W. Hehl, Phys. Rev. D48, 673 (1993).
23. E.W. Mielke, P. Baekler, F.W. Hehl, A. Macias, H.A. Morales-Técotl, in: Gravity, Particles and Space-Time, ed. by P. Pronin and G. Sardanashvily, World Scientific, Singapore 1996, pp. 217-254.
24. E.W. Mielke, E.W., A. Macías, H.A. Morales-Técotl, Phys. Lett. A215, 14 (1996).
25. E.W. Mielke, D. Kreimer, UAM-I preprint 1997.
26. H.A. Morales-Técotl, C. Rovelli, Phys. Rev. Lett. 72, 3642 (1994);
27. H.A. Morales-Técotl, L.F. Urrutia, J.D. Vergara, Classical Quantum Gravity 13, 2933 (1996).
28. H.T. Nieh, M.L. Yan, J. Math. Phys. 23, 373 (1982).
29. I.A. Nikolić, Classical Quantum Gravity 12, 3103 (1995).
30. M.F. Sohnius, Z. Phys. C18, 229 (1983).
31. K. Sundermeyer: Constrained Dynamics, Springer, Berlin 1982.
32. J. Schwinger, Phys. Rev. 130, 1253 (1963).
33. T. Thiemann, Classical Quantum Gravity 13, 1383 (1996).
34. A. Trautman, in: Symposia Mathematica, Vol. 12, Academic Press, London 1973, p. 139.
35. V.A. Vassiliev, in: Theory of Singularities and its Applications, Adv. Sov. Math., Vol. 1, Am. Math. Soc. (1990).
36. Y.S. Wu, A. Zee, J. Math. Phys. 25, 2696 (1984).
37. E. Witten, Comm. Math. Phys. 121, 351 (1989).