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2019 | 127 | 3 | 361-368
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Modified Landau-Lifshitz Energy Density in Reboucas-Tiomno-Korotkii-Obukhov Spacetime

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Energy-momentum (EM henceforth) localization problem is one of the old and unsolved issues theoretical physics. Plenty of studies have been introduced to clarify the localization problem and there are many prescriptions given in gravitational theories such as the general relativity (GR henceforth) and teleparallel gravity (TG henceforth) to deal with this issue. In a recent work, the energy-momentum localization problem has been extended to a modified theory of gravity. In the present work, we calculate energy density associated with the Reboucas-Tiomno-Korotkii-Obukhov (RTKO henceforth) spacetime by making use of the modified gravity version of Landau-Lifshitz (mLL henceforth) formulation. Also, we consider some viable f(T)-gravity proposals.
Physical description
  • Department of Electricity and Energy, Tunceli Vocational College, Munzur University, Tunceli, TR-62000, Turkey
  • Department of Physics, Faculty of Arts and Science, Mersin University, Mersin, TR-33343, Turkey
  • Department of Physics, Faculty of Arts and Science, Mersin University, Mersin, TR-33343, Turkey
  • [1] Einstein, Sitzungsber. Preus. Akad. Wiss. Berlin (Math. Phys.) 778 (1915).
  • [2] R.C. Tolman, Relativity, thermodynamics and cosmology. Oxford University Press, London, (1934) 227.
  • [3] A Papapetrou, Einstein's theory of gravitation and flat space. Proc. R. Irish. Acad. A 52 (1948) 11-13.
  • [4] L.D. Landau and E.M. Lifshitz, The classical theory of fields, 4th edition. Pergamon Press, Oxford, (1987)
  • [5] P.G. Bergmann and R. Thomson, Spin and angular momentum in general relativity. Phys. Rev. 89 (1953) 400.
  • [6] Møller, On the localization of the energy of a physical system in the general theory of relativity. Ann. Phys. 4 (1958) 347-371.
  • [7] S. Weinberg, Gravitation and cosmology: Principle and applications of general theory of relativity. John Wiley and Sons, Inc., New York, (1972).
  • [8] Qadir and M. Sharif, General formula for the momentum imparted to test particles in arbitrary spacetimes. Phys. Lett. A 167 (1992) 331-334.
  • [9] V.C. de Andrade and J.G. Pereira, Gravitational Lorentz force and the description of the gravitational interaction. Phys. Rev. D 56 (1997) 4689.
  • [10] K. Hayashi and T. Shirafuji, Gravity from Poincaré Gauge Theory of the Fundamental Particles. I: General Formulation. Prog. Theor. Phys. 64 (1980) 866-882.
  • [11] F.I. Mikhail, M.I. Wanas, A. Hindawi and E.I. Lashin, Energy-momentum complex in Møller's tetrad theory of gravitation. Int. J. Theoretical Phys. 32 (1993) 1627-1642.
  • [12] K.S. Virbhadra, Energy associated with a Kerr-Newman black hole. Phys. Rev. D 41 (1990) 1086.
  • [13] T. Vargas, The energy of the universe in teleparallel gravity. Gen. Relativ. Gravit. 36 (2004) 1255-1264.
  • [14] M. Salti, Different Approaches for Møller's Energy in the Kasner-Type Spacetime. Modern Phys. Lett. A 20 (2005) 2175-2182.
  • [15] O. Aydogdu, M. Salti, and M. Korunur, Energy in Reboucas-Tiomno-Korotkii-Obukhov and Gödel-type Space-times in Bergmann-Thomson's Formulations. Acta Physica Slovaca 55 (2005) 537-548.
  • [16] M. Sharif and M.J. Amir, Teleparallel energy–momentum distribution of lewis–papapetrou spacetimes. Mod. Phys. Lett. A 22 (2007) 425-433.
  • [17] S. Aygun and I. Tarhan, Energy–momentum localization for Bianchi type-IV Universe in general relativity and teleparallel gravity. Pramana 78 (2012) 531-548.
  • [18] H. Abedi and M. Salti, Multiple field modified gravity and localized energy in teleparallel framework. Gen. Relativ. and Grav. 47 (2015) 93.
  • [19] M.G. Ganiou, M. J. S. Houndjo, and J. Tossa, f(T) gravity and energy distribution in Landau–Lifshitz prescription. Int. J. Mod. Phys. D 27 (2018) 1850039.
  • [20] K. Hayashi and T. Shirafuji, New general relativity. Phys. Rev. D 19 (1979) 3524.
  • [21] M.J. Rebouças and J. Tiomno, Homogeneity of Riemannian space-times of Gödel type. Phys. Rev. D 28 (1983) 1251.
  • [22] S. Carneiro and G.A.M. Marugan, Anisotropic cosmologies containing isotropic background radiation. Phys. Rev. D 64(8) (2001) 083502.
  • [23] R. Myrzakulov, Accelerating universe from F(T) gravity. Eur. Phys. J. C 71(9) (2011) 1752.
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