Energy in an expanding universe in the teleparallel geometry

Brazilian Journal of Physics

Volumn 40, Issue 1, 2010, Pages 1-8

  Sousa, A A ^a   Moura, J S ^a   Pereira, R B ^a  

^a FEDERAL UNIVERSITY OF MATO GROSSO   (Brazil)

Author keywords

Gravitation; Gravitational energy momentum tensor; Teleparallelism

Indexed keywords

EID: 77955489470     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0103-97332010000100001     Document Type: Article

References (36)

1. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1980).
2. E. Cartan, C. R. Acad. Sci. 174, 734 (1922).
3. E. Cartan, C. R. Acad. Sci. 174, 593 (1922).
4. J. G. Pereira and T. Vargas, Class. Quantum Grav. 19, 4807 (2002).
5. R. Weitzenböck, Invarianten Theorie (Nordholf, Groningen, 1923).
6. A. Einstein, Sitzungsber. Preuss. Akad. Wiss. 217, 224 (1928).
7. A. Unzicker and T. Case, Translation of Einstein's Attempt of a Unified Field Theory with Teleparallelism, e-print:physics/0503046, (2005).
8. C. Möller, Ann. Phys. 12, 118 (1961).
9. A. A. Sousa and J. W. Maluf, Prog. Theor. Phys. 108, 457 (2002).
10. J. W. Maluf, J. Math. Phys. 35, 335 (1994).
11. J. Schwinger, Phys. Rev. 130, 1253 (1963).
12. J. W. Maluf, J. Math. Phys. 37, 6293 (1996).
13. J. W. Maluf and A. Kneip, J. Math. Phys. 38, 458 (1997).
14. J. W. Maluf and J.F. da Rocha-Neto, J. Math. Phys. 40, 1490 (1999).
15. J. W. Maluf and A. Goya, Class. Quant. Grav. 18, 5143 (2001).
16. J. W. Maluf, J.F. da Rocha-Neto, T.M.L. Toribio and K.H. Castello-Branco, Phys. Rev. D 65, 124001 (2002).
17. J. F. da Rocha-Neto and K. H. Castello-Branco, JHEP 0311, 002 (2003).
18. V C. Andrade and J. G. Pereira, Phys. Rev. D 56, 4689 (1997).
19. J. W. Maluf and A. A. Sousa, Hamiltonian formulation of teleparallel theories of gravity in the time gauge, e-print:gr-qc/0002060, (2000).
20. A. A. Sousa and J. W. Maluf, Prog. Theor. Phys. 104, 531 (2000).
21. J. W. Maluf and J. F. da Rocha-Neto, Phys. Rev. D 64, 084014 (2001).
22. J. W. Maluf, S. C. Ulhoa, F. F. Faria and J. F. da Rocha-Neto, Class. Quantum Grav. 23, 6245 (2006).
23. A. A. Sousa, R. B. Pereira and J. F. Rocha-Neto, Prog. Theor. Phys., 114, 1179(2005).
24. J. M. Aguirregabiria, A. Chamorro, K. S. Virbhadra, Gen. Rel. Grav. 28, 1393 (1996).
25. N. Rosen, Gen. Rel. Grav. 26, 319 (1994).
26. F. I. Cooperstock, Gen. Rel. Grav. 26, 323 (1994).
27. J. Garecki, Gen. Rel. Grav. 27, 55 (1995).
28. V B. Johri, D. Kalligas, G. P. Singh and C. W. F. Everitt, Gen. Rel. Grav. 27, 313(1995).
29. T. Vargas, Gen. Rel. Grav. 36, 1255 (2004).
30. J. W. Maluf, Annalen Phys. 14, 723 (2005).
31. J. W. Maluf and F. F. Faria, Class. Quantum Grav. 20, 4683 (2003).
32. P. A. M. Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science (Monographs Series No 2), Yeshiva University, New York, 1964).
33. R. A. d'Inverno, Introducing Einstein's Relativity (Clarendon Press, Oxford, 1992).
34. M. Dalarsson and N. Dalarsson, Tensors, Relativity and Cosmology (Elsevier Academic Press, 2005).
35. E. P. Tryon, Nature 246, 396 (1973).
36. R. R. Caldwell, M. Kamionkowski and N. N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003).