De Sitter group and Einstein-Hilbert Lagrangian

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 12, 2004, Pages

  Mahato, Prasanta ^a  

^a NARASINHA DUTT COLLEGE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; COSMOS; DENSITY; MATHEMATICAL ANALYSIS; SPACE;

EID: 42749098497     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.124024     Document Type: Article

References (46)

1. Elie Cartan-Albert Einstein Letters on Absolute Parallelism, edited by R. Debever (Princeton University, Princeton, NJ, 1979).
2. P. A. M. Dirac, Nature (London) 139, 323 (1937).
3. T. Kaluza, Preuss. Akad. Wiss. K 1, 966 (1921).
4. O. Klein, Z. Phys. 37, 895 (1926).
5. T. Damour and A. M. Polyakov, Nucl. Phys. B 423, 532 (1994).
6. J. N. Tonry et al., Astron. J. 594, 1 (2003).
7. E. Gaztanaga et al., Phys. Rev. D 65, 023506 (2002).
8. F. W. Hehl, in Proceedings of the 14th course of the School of Gravitation and Cosmology and Gravitation on Quantum Gravity, Erice, Italy, 1995, edited by P. G. Bergman, V. de Sabbata, and H. J. Treder) (World Scientific, Singapore, 1996).
9. R. Tresguerres and E. W. Mielke, Phys. Rev. D 62, 44004 (2000).
10. T. W. B. Kibble, J. Math. Phys. (N.Y.) 2, 212 (1961).
11. D. W. Sciama, in Recent Developments in General Relativity, (Pergamon + PWN, Oxford, 1962) p. 415.
12. W. Drechsler, Ann. Inst. Henri Poincaré 37, 155 (1982).
13. G. W. Hehl, P. von der Heyde, and G. D. Kerlick, Rev. Mod. Phys. 48, 393 (1976).
14. R. Aldrovandi and R. A. Kraenkel, J. Phys. A 21, 1329 (1988).
15. R. Aldrovandi and R. A. Kraenkel, J. Math. Phys. (N.Y.) 30, 1966 (1989).
16. R. Aldrovandi and J. G. Pereira, J. Math. Phys. (N.Y.) 29, 1472 (1988).
17. J. A. Nieto, O. Obregón, and J. Socorro. Phys. Rev. D 50, 3583 (1994).
18. M. Botta Cantcheff, Gen. Relativ. Gravit. 34, 1781 (2002).
19. S. Gotzes and A. C. Hirshfeld, Ann. Phys. (N.Y) 203, 410 (1990).
20. E. Inönü and E. P. Wigner, Proc. Natl. Acad. Sci. U.S.A. 39, 510 (1953).
21. W. Drechsler, J. Math. Phys. (N.Y.) 26, 41 (1985).
22. R. Aldrovandi and J. G. Pereira, in Conference on Topics in Theoretical Physics II: Festschrift for A. H. Zimmerman Sao Paulo, Brazil, 1998, 16, 495 (1999).
23. P. Mahato, Mod. Phys. Lett. A 17, 1991 (2002).
24. E. Cartan, Ann. Ec. Norm. 1, 325 (1924).
25. S. Chern and J. Simons, Ann. Math. 99, 48 (1974).
26. H. T. Nieh and M. L. Yan, J. Math. Phys. (N.Y.) 23, 373 (1982).
27. E. W. Mielke, Int. J. Theor. Phys. 40, 171 (2001).
28. P. Ghosh and P. Bandyopadhyay, Int. J. Mod. Phys. A 15, 3287 (2000).
29. O. Chandia and J. Zanelli, Phys. Rev. D 55, 7580 (1997).
30. 0+ S. T.. By considering that, a and b have unequal values, here we are assuming that the SO(4, 1) invariance of the theory is broken in a SO(3, 1) invariant way in the real physical world.
31. I. L. Shapiro, Phys. Rep. 357, 113 (2001)
32. F. W. Hehl, J. D. McCrea, E. W. Mielke and Y. Ne'eman, Phys. Rep. 258, 1 (1995).
33. An important advantage of this part of the Lagrangian is that it is a quadratic one with respect to the field derivatives and this could be valuable in relation to the quantization program of gravity like other gauge theories of QFT.
34. A. Connes, Noncommutative Geometry (Academic Press, New York, 1994).
35. P. Bandyopadhyay, Quantum Space-time, Quantum Gravity and Torsion in Modern Problems of Theoretical Physics, Festschrift Vol. Devoted to the 85th Jubilee of Professor D. D. Ivanenko, edited by P. I. Pronin and Yu. N. Obukov (World Scientific, Singapore, (1991).
36. E. W. Mielke and D. Kreimer, Gen. Relativ. Gravit. 31, 701 (1999).
37. E. W. Mielke and F. Macías, Ann. Phys. (N.Y.) 8, 301 (1999).
38. D. Kreimer and E. W. Mielke, Phys. Rev. D 63, 048501 (2001).
39. Y. Obukhov, E. Mielke, J. Budczies, and F. W. Hehl, Report No. gr-qc/97020251997 (unpublished).
40. O. Chandia and J. Zanelli, Phys. Rev. D 58, 045014 (1998).
41. E. W. Mielke and A. A. Rincón Maggiolo, Phys. Rev. D 68, 104026 (2003).
42. A. V. Filippenko, astro-ph/0307139.
43. i.e., using four dimensional stereographic coordinates.
44. T. Padmanabhan, Phys. Rep. 380, 235 (2003).
45. P. Mahato, Mod. Phys. Lett. A 17, 475 (2002).
46. L. Mullick and P. Bandyopadhyay, J. Math. Phys. (N.Y.) 36, 370 (1995).