Abstract
We calculate the energy and momentum distributions associated with a Gödel-type space–time, using the well-known energy–momentum complexes of Landau–Lifshitz and Møller. We show that the definitions of Landau–Lifshitz and Møller do not furnish a consistent result.
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Aguirregabiria, J.M., Chamorro, A. and Virbhadra, K.S.: 1996, Gen. Relativ. Gravit. 28, 1393.
Bampi, F. and Zordan, C.: 1978, Gen. Relativ. Gravit. 9, 393.
Chakraborty, S.K.: 1980, Gen. Relativ. Gravit. 12, 925.
Chamorro, A. and Virbhadra, K.S.: 1995, Pramana.-J. Phys. 45, 181.
Colding, J., Nielsen, N.K. and Vorbin, Y.: 1997, Phys. Rev. D 56, 3371.
Cooperstock, F.I.: 1999, Mod. Phys. Lett. A 14, 1531.
Dabrowski, M.P. and Garecki, J.: 2003, gr-qc/03090664.
Dias, O.J.C. and Lemos, J.P.S.: 2002, Class. Quantum Grav. 19, 2265.
Gödel, K.: 1949, Rev. Mod. Phys. 21, 447.
Hayward, S.A.: 2000, Class. Quantum Grav. 17, 1749.
Landau, L.D. and Lifshitz, E.M.: 1985, The Classical Theory of Fields, Pergamon, Oxford, p. 280.
Lemos, J.P.S.: 1995, Phys. Lett. B 353, 46
Lemos, J.P.S.: 1998, Phys. Rev. D 57, 4600.
Levi-Civita, T.: 1917, Rend. Acc. Lincei 26, 307.
Lewis, T.: 1932, Proc. R. Soc. London, Ser. A 136, 176.
Liang, C.: 1995, Gen. Relativ. Gravit 27, 669.
Møller, C.: 1958, Ann. Phys. (NY) 4, 347.
Paiva,F.M., Reboucas, M.J. and Taxeira, F.F.: 1987, Phys. Lett. A 126, 168.
Pfarr, J.: 1981, Gen. Relativ. Gravit. 13, 1073.
Raychaudhuri, A.K. and Thakurta, S.N.G.: 1980, Phys. Rev. D 22, 802.
Reboucas, M.J.: 1979, Phys. Lett. 70, 161.
Reboucas, M.J., Aman, J.E. and Taxeira, F.F.: 1986, J. Math. Phys. 27, 1370.
Reboucas, M.J. and Taxeira, F.F.: 1986, Phys. Rev. D 34, 2985.
Reboucas, M.J. and Tiomno, J.: 1983, Phys. Rev. B 28, 1251.
Rosen, N. and Virbhadra, K.S.: 1993, Gen. Relativ. Gravit. 25, 429.
Saibatalov, F.M.: 1995, Gen. Relativ. Gravit. 17, 697.
Shraif, M.: 2003, gr-qc/0310018.
Som, M.M. and Raychaudhuri, A.K.: 1968, Proc. R. Soc. London, Ser. A 304, 81.
Teixeira, A.F.F., Reboucas, M.J. and Aman, J.E.: 1985, Phys. Rev. D 32, 3309.
Tod, K.P.: 1983, Proc. R. Soc. London, Ser. A 388, 467.
Tolman, R.C.: 1934, Relativity, Thermodynamics and Cosmology, Oxford University Press, Oxford p. 227.
Vagenas, E.C.: 2003, hep-th/0307162.
Virbhadra, K.S.: 1995, Pramana.-J. Phys. 45, 215.
Virbhadra, K.S.: 1990a, Phys. Rev. D 41, 1086.
Virbhadra, K.S.: 1990b, Phys. Rev. D 42, 1066.
Virbhadra, K.S.: 1990c, Phys. Rev. D 42, 2919.
Virbhadra, K.S.: 1999, Phys. Rev. D 60, 104041.
Virbhadra, K.S. and Parikh, J.C.: 1993, Phys. Lett. B 317, 312.
Virbhadra, K.S. and Parikh, J.C.: 1994, Phys. Lett. B 331, 302.
Xulu, S.S.: 1998, Int. Theor. Phys. 37, 1773.
Xulu, S.S.: 2000, gr-qc/0010068.
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Gad, R.M. Energy Distribution of a Gödel-Type Space–Time. Astrophysics and Space Science 293, 453–460 (2004). https://doi.org/10.1023/B:ASTR.0000044624.38810.da
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DOI: https://doi.org/10.1023/B:ASTR.0000044624.38810.da