Energy-momentum and angular momentum of Gödel universes

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 4, 2004, Pages

  Da̧browski, Mariusz P ^a   Garecki, Janusz ^a  

^a UNIVERSITY OF SZCZECIN   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; COSMOS; ENERGY; GRAVITY; MATHEMATICAL ANALYSIS; SPACE; THEORETICAL MODEL; TIME;

EID: 42749099561     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.043511     Document Type: Article

References (63)

1. L.D. Landau and E.M. Lifschitz, The Classical Theory of Fields (Pergamon, Oxford, 1975).
2. C. Møller, The Theory of Relativity (Clarendon, Oxford, 1972).
3. A. Papapetrou, Proc. R. Ir. Acad., Sect. A 52, 11 (1948).
4. P.G. Bergmann and R. Thomson, Phys. Rev. 89, 401 (1953).
5. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
6. D. Bak, D. Cangemi, and R. Jackiw, Phys. Rev. D 49, 5173 (1994).
7. F.A.E. Pirani, Phys. Rev. 105, 1089 (1957);J.L. Synge, Relativity: The General Theory (North-Holland, Amsterdam, 1960)
8. M.A.G. Bonilla and C.F. Sopuerta, J. Math. Phys. 40, 3053 (1999)
9. J.M.M. Senovilla, Class. Quantum Grav. 17, 2799 (2000)
10. P. Teyssandier, “Superenergy tensors for a massive scalar field,” gr-qc/9905080
11. J.M.M. Senovilla, “General electro-magnetic decomposition of fields, positivity and Rainich-like conditions,” gr-qc/0010095
12. R. Lazkoz and J.M.M. Senovilla, “Properties of Bel currents,” gr-qc/0104091.
13. J. Garecki, Acta Phys. Pol. B 8, 159 (1977)
14. Acta Phys. Pol. BJ. Garecki9, 291 (1978)
15. Acta Phys. Pol. BJ. Garecki10, 883 (1979)
16. Acta Phys. Pol. BJ. Garecki and M. Goła̧b, 11, 255 (1980)
17. J. Garecki, Rep. Math. Phys. 33, 57 (1993)
18. J. GareckiInt. J. Theor. Phys. 35, 2195 (1996).
19. J. Garecki, Rep. Math. Phys. 40, 485 (1997)
20. Rep. Math. Phys.J. Garecki43, 377 (1999)
21. Rep. Math. Phys.J. Garecki44, 95 (1999)
22. J. GareckiJ. Math. Phys. 40, 4035 (1999)
23. J. GareckiAnn. Phys. (Leipzig) 11, 442 (2002).
24. M.P. Da̧browski and J. Garecki, Class. Quantum Grav. 19, 1 (2002).
25. K. Gödel, Rev. Mod. Phys. 21, 447 (1949).
26. This paper, and other important papers by K. Gödel were reprinted in Gen. Relativ. Gravit. 32, 1399 (2000).
27. S. Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, England, 1973).
28. S.W. Hawking, Phys. Rev. D 46, 603 (1992).
29. M.J. Rebouças and J. Tiomno, Phys. Rev. D 28, 1251 (1983).
30. A.J. Accioly, Nuovo Cimento Soc. Ital. Fis., B 100, 703 (1987).
31. M.J. Rebouças and A.F.F. Teixeira, J. Math. Phys. 39, 2180 (1998).
32. J.D. Barrow and M.P. Da̧browski, Phys. Rev. D 58, 103502 (1998).
33. L. Dyson, in Cosmology and Gravitation, edited by M. Novello and S.E. Percz Bergliaffa, AIP Conf. Proc. No. 668 (AIP, Melvilli, NY, 2003, p. 288)
34. L. Dysongr-qc/0302052
35. H. Takayanagi, J. High Energy Phys. 12, 011 (2003)
36. M. Gürses, “Gödel Type Metrics in Various Dimensions,” hep-th/0312290
37. Y. Hikida and S.J. Rey, Nucl. Phys. B669, 57 (2003)
38. D. Brace, Phys. Rev. D 69, 066010 (2004).
39. J.D. Barrow and Ch.G. Tsagas, Phys. Rev. D 69, 064007 (2004).
40. A.I. Nesterov, Phys. Lett. A 250, 55 (1998)
41. W.B. Bonnor, Class. Quantum Grav. 18, 1381 (2001)
42. Class. Quantum Grav.W.B. Bonnor19, 5951 (2002)
43. W.B. BonnorInt. J. Mod. Phys. D 12, 1705 (2003)
44. I. Ozsvath, Class. Quantum Grav. 14, A291 (1997)
45. Class. Quantum Grav.I. Ozsvath and E. Schücking, 18, 2243 (2001)
46. Class. Quantum Grav.J.D. Barrow and Ch.G. Tsagas 21, 1773 (2004)
47. R.M. Gad, “Møller energy-momentum complex of a static axially symmetric vacuum spacetime,” gr-qc/0403039.
48. R.M. Gad, “Energy distribution of a Gödel space-time,” gr-qc/0401039.
49. A. Trautman, Gravitation: An Introduction to Current Research, edited by L. Witten (Academic, New York, 1962);C. Cattaneo, Proceedings of the International Conference on Relativistic Theories of Gravitation (Academic Press, London, 1965)
50. L.D. Faddeev, Usp. Fiz. Nauk 136, 435 (1982)
51. R. Penrose, Proc. R. Soc. London A381, 53 (1982)
52. J. Frauendiener, Class. Quantum Grav. 6, L237 (1989)
53. Class. Quantum Grav.F. Szabados, 9, 2521 (1992)
54. Class. Quantum Grav.G. Bergqvist, 9, 1753 (1992)
55. K.S. Virbhadra, Phys. Rev. D 60, 104041 (1999)
56. C.C. Chang, Phys. Rev. Lett. 83, 1897 (1999).
57. W. Thirring and R. Wallner, “The Use of Exterior Forms in Einstein’s Gravitation Theory,” 1978.
58. A. Trautman, Differential Geometry for Physicists, Stony Brook Lectures (Naples, Bibliopolis, 1984).
59. J. Winicour, General Relativity and Gravitation, edited by A. Held (Plenum, New York, 1980), Vol. 1.
60. A. Cresswell and R.L. Zimmerman, Class. Quantum Grav. 3, 1221 (1986).
61. J.L. Synge, Relativity: The General Theory (North-Holland, Amsterdam, 1960).
62. H.L. Carrion, M.J. Rebouças, and A.F.F. Teixeira, J. Math. Phys. 40, 4011 (1999).
63. M.J. Rebouças and A.F.F. Teixeira, Int. J. Mod. Phys. A 13, 3181 (1998).