Abstract
The aim of this study is to investigate the energy-momentum distributions of texture and monopole topological defects metrics in general relativity (GR). For this aim Einstein, Bergmann-Thomson, Landau-Lifshitz (LL), Møller and Papapetrou energy-momentum densities have been used in general relativity theory. We obtained that (i) for the texture metric only Einstein and Bergmann-Thomson energy densities give the same results but the others energy and momentum densities do not provide the same results in GR; (ii) for the monopole metric, while Einstein, Bergmann-Thomson and Papapetrou energy and momentum densities are giving the same energy-momentum results, Møller and Landau-Lifshitz densities do not give the same energy results with the other definitions in GR.
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Einstein, A.: Preuss. Akad. Wiss. Berlin 47, 778 (1915)
Tolman, R.C.: Relativity, Thermodynamics and Cosmology. Oxford University Press, London (1934)
Papapetrou, A.: Proc. R. Ir. Acad. A 52, 11 (1948)
Landau, L.D., Lifshitz, L.D.: The Classical Theory of Fields. Addison-Wesley, Reading (1951)
Bergmann, P.G., Thomson, R.: Phys. Rev. 89, 400 (1953)
Møller, C.: Ann. Phys. (NY) 12, 118 (1961)
Weinberg, S.: Gravitation and Cosmology: Principles and Applications of General Theory of Relativity. Wiley, New York (1972)
Mikhail, F.I., Wanas, M., Hindawi, A., Lashin, E.I.: Int. J. Theor. Phys. 32, 1627 (1993)
Vargas, T.: Gen. Relativ. Gravity 36, 1255 (2004)
Virbhadra, K.S.: Phys. Rev. D 42, 2919 (1990)
Radinschi, I.: Mod. Phys. Lett. A 15, 2171 (2000)
Aygün, S., Baysal, H., Tarhan, İ.: Int. J. Theor. Phys. 46, 2607 (2007)
Aygün, S., Aygün, M., Tarhan, İ.: Acta Phys. Pol. B 37, 2781 (2006)
Aygün, M., Yilmaz, İ., Aygün, S.: Acta Phys. Pol. B 37, 2795 (2006)
Vagenas, E.C.: Int. J. Mod. Phys. A 18, 5949 (2003)
Vagenas, E.C.: Int. J. Mod. Phys. D 14, 573 (2005)
Vagenas, E.C.: Mod. Phys. Lett. A 21, 2006 (1947)
Radinschi, I.: Acta Phys. Slov. 49, 789 (1999)
Yang, C.-I., Radinschi, I.: Chin. J. Phys. 41, 326 (2003)
Salti, M., Havare, A.: Int. J. Mod. Phys. A 20, 2165 (2005)
Xulu, S.S.: Int. J. Theor. Phys. 39, 1153 (2000)
Gad, R.M.: Mod. Phys. Lett. 19, 2004 (1847)
Xulu, S.S.: Int. J. Mod. Phys. A 15, 2979 (2000)
Virbhadra, K.S.: Phys. Rev. D 60, 104041 (1999)
Rosen, N., Virbhadra, K.S.: Gen. Relativ. Gravity 25, 429 (1993)
Virbhadra, K.S., Parikh, J.C.: Phys. Lett. B 317, 312 (1993)
Radinschi, I.: Chin. J. Phys. 39, 231 (2001)
Xulu, S.S.: Astrophys. Space Sci. 283, 23 (2003)
Aygün, M., Yilmaz, İ.: Chin. Phys. Lett. 24, 874 (2007)
Vilenkin, A., Shellard, E.P.S.: Cosmic Strings and Other Topological Defects. Cambridge University Press, Cambridge (1994)
Xulu, S.S.: Int. J. Theor. Phys. 37, 1773 (1998)
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Aygün, S. Energy Momentum Distributions of Texture and Monopole Metrics in General Relativity. Int J Theor Phys 49, 2288–2298 (2010). https://doi.org/10.1007/s10773-010-0416-0
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DOI: https://doi.org/10.1007/s10773-010-0416-0