Source: http://rgs.vniims.ru/abs/abs-16-25.html
Timestamp: 2019-04-23 02:35:00+00:00

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The main scope of this research consists in evaluating the energy-momentum (gravitational field plus matter) and gravitational angular momentum densities in the universe with global rotation, considering the Gödel-Obukhov metric. To do that, we use the Hamiltonian formalism of the Teleparallel equivalent of general relativity (TEGR), which is justified for presenting covariant expressions for the quantities under consideration. We have found that the total energy density calculated by the TEGR method is in agreement with the results reported by other authors in the literature using pseudotensors. The result found for the angular momentum density depends on the rotational parameter, as expected. We also show explicitly the equivalence among the field equations of the TEGR and the Einstein equations (GR), considering a perfect fluid and the Gödel-Obukhov metric.
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1980).
J. M. Aguirregabiria, A. Chamorro, and K. S. Virbhadra, Gen. Rel. Grav. 28, 1393 (1996).
N. Rosen, Gen. Rel. Grav. 26, 319 (1994).
F. I. Cooperstock, Gen. Rel. Grav. 26, 323 (1994).
V. B. Johri, D. Kalligas, G. P. Singh and C. W. F. Everitt, Gen. Rel. Grav. 27, 313 (1995).
J. Garecki, Gen. Rel. Grav. 27, 55 (1995).
T. Vargas, Gen. Rel. Grav. 36, 1255 (2004).
L. L. So and T. Vargas, Chin. J. Phys. 43, 901 (2005).
M. P. Dabrowski and J. Garecki, Phys. Rev. D70, 043511 (2004).
J. Rybnickova, Energy of some Godel type models, Proceedings of the 8th International Conference on Differential Geometry and Its Applications, ed. by O. Kowalski, D. Krupka and J. Slovak (Silesian University, Opava, 2001).
K.S. Virbhadra, Phys. Rev. D 60, 104041 (1999).
V. C. Andrade and J. G. Pereira, Phys. Rev. D56, 4689 (1997).
C. Moller, Annalen d. Phys. 12, 118 (1961).
J. W. Maluf and J. F. da Rocha-Neto, Phys. Rev. D64, 084014 (2001).
J. W. Maluf, J. Math. Phys. 37, 6293 (1996).
J. W. Maluf, E. F. Martins and A. Kneip, J. Math. Phys. 37, 6310 (1996).
J. W. Maluf and J. F. da Rocha-Neto, J. Math. Phys. 40, 1490 (1999).
J. W. Maluf and A. Goya, Class. Quant. Grav. 18, 5143 (2001).
J. W. Maluf, J. F. da Rocha-Neto, T. M. L. Toribio, and K. H. Castello-Branco, Phys. Rev. D 65. 124001 (2002).
A. A. Sousa and J. W. Maluf, Prog. Theor. Phys. 108, 457 (2002).
J. F. da Rocha-Neto and K. H. Castello-Branco, JHEP 0311, 002 (2003).
A. A. Sousa, R. B. Pereira and J. F. Rocha-Neto, Prog. Theor. Phys., 114, 1179 (2005).
G. Gamow, Phys. Rev. 70, 573 (1946).
K. Godel, Rev. Mod. Phys. 21, 450 (1949).
H. Stein, Phil. Sci. 37, 601 (1970).
J. Pfarr, Gen. Relat. Grav. 13, 1091 (1981).
L. Pimentel, A. Camacho, and A. Macias, Mod. Phys. Lett. A 9 3712, (1994).
Yu. N. Obukhov, On physical foundations and observational effects of cosmic rotation, astro-ph/0510803.
M. J. Reboucas and J. Tiomno, Phys. Rev., D28, 1251 (1983).
P. Jain, M. S. Modgil, and J. P. Ralston, Search for global metric anisotropy in Type Ia Supernova data astro-ph/0008106.
S. A. Gregory, L. A. Thompson, and W. G. Tifft, Astrophys. J. 243, 411 (1981); W. Godlowski, M. Szydlowski, P. Flin, and M. Biernacka, Gen. Rel. Grav. 35, 907 (2003); D. Palle, Nuovo Cim. B 119, 1124 (2004); B. Nodland and J. P. Ralston, Phys. Rev. Lett. 78, 3046 (1997); S. M. Carroll and G. B. Field, Phys. Rev. Lett. 79, 2397 (1997).
I. Oszvath, J. Math. Phys. 6, 590 (1965).
J. W. Maluf, J. Math. Phys. 35, 335 (1994).
V. C. Andrade, L. C. T. Guillen and J. G. Pereira, Phys. Rev. Lett. 84, 4533 (2000).
P. A. M. Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science (Monographs Series No 2), Yeshiva University, New York, 1964).
S. Maitra, J. Math. Phys. 7, 1030 (1966).
Yu. N. Obukhov and T. Vargas, Phys. Lett. A, 327, 365 (2004).
R. A. d'Inverno, Introducing Einstein's Relativity (Clarendon Press, Oxford, 1992).
V. G. Krechet and V. F. Panov, Astrophysics 28, 400 (1988).
V. A. Korotkii and Yu. N. Obukhov, Russ. Phys. J. 36, 568 (1993).
M. Sharif, Int. J. Mod. Phys. D 13, 1028 (2004).
S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (John Wiley & Sons, 1972).

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V. 

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V. 
 V. 

V.