Skip to main content

Advertisement

SpringerLink
Log in

Teleparallel Energy-Momentum Distribution of Spatially Homogeneous Rotating Spacetimes

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The energy-momentum distribution of spatially homogeneous rotating spacetimes in the context of teleparallel theory of gravity is investigated. For this purpose, we use the teleparallel version of Möller prescription. It is found that the components of energy-momentum density are finite and well-defined but are different from General Relativity. However, the energy-momentum density components become the same in both theories under certain assumptions. We also analyse these quantities for some special solutions of the spatially homogeneous rotating spacetimes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Müller-Hoisson, F., Nitsch, J.: Phys. Rev. D 28, 718 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  2. De Andrade, V.C., Pereira, J.G.: Gen. Relativ. Gravit. 30, 263 (1998)

    Article  ADS  MATH  Google Scholar 

  3. Hehl, F.W., McCrea, J.D., Mielke, E.W., Ne’emann, Y.: Phys. Rep. 258, 1 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  4. Hayashi, K., Shirafuji, T.: Phys. Rev. D 19, 3524 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  5. Weitzenböck, R.: Invarianten Theorie. Noordhoff, Groningen (1923)

    Google Scholar 

  6. De Andrade, V.C., Pereira, J.G.: Phys. Rev. D 56, 4689 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  7. Blagojecvic, M.: Gravitation and Gauge Symmetries. IOP Publishing, Bristol (2002)

    Google Scholar 

  8. Hammond, R.T.: Rep. Prog. Phys. 65, 599 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  9. Gronwald, F., Hehl, F.W.: On the gauge aspects of gravity. In: Bergmann, P.G., et al. (eds.) Proceedings of the 14th School of Cosmology and Gravitation, Erice, Italy. World Scientific, Singapore (1996)

    Google Scholar 

  10. Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation. Freeman, New York (1973)

    Google Scholar 

  11. Einstein, A.: Sitzungsber. Preus. Akad. Wiss. Berlin (Math. Phys.) 778 (1915). Addendum Sitzungsber. Preus. Akad. Wiss. Berlin (Math. Phys.) 779 (1915)

  12. Landau, L.D., Lifshitz, E.M.: The Classical Theory of Fields. Addison-Wesley, Reading (1962)

    MATH  Google Scholar 

  13. Papapetrou, A.: Proc. R. Ir. Acad. A 52, 11 (1948)

    MathSciNet  Google Scholar 

  14. Bergman, P.G., Thomson, R.: Phys. Rev. 89, 400 (1958)

    Article  ADS  Google Scholar 

  15. Tolman, R.C.: Relativity, Thermodynamics and Cosmology. Oxford University Press, Oxford (1934)

    Google Scholar 

  16. Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)

    Google Scholar 

  17. Möller, C.: Ann. Phys. (NY) 4, 347 (1958)

    Article  ADS  MATH  Google Scholar 

  18. Chang, C.C., Nester, J.M.: Phys. Rev. Lett. 83, 1897 (1999) and references therein

    Article  ADS  MathSciNet  MATH  Google Scholar 

  19. Schwinger, J.: Phys. Rev. 130, 1253 (1963)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  20. De Andrade, V.L., Guillen, L.C.T., Pereira, J.G.: Phys. Rev. Lett. 84, 4533 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  21. Aldrovendi, R., Pereira, J.G.: An introduction to gravitation theory. Preprint

  22. Virbhadra, K.S.: Phys. Rev. D 60, 104041 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  23. Virbhadra, K.S.: Phys. Rev. D 42, 2919 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  24. Virbhadra, K.S.: Phys. Lett. B 331, 302 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  25. Virbhadra, K.S., Parikh, J.C.: Phys. Lett. B 317, 312 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  26. Rosen, N., Virbhadra, K.S.: Gen. Relativ. Gravit. 25, 429 (1993)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  27. Xulu, S.S.: Astrophys. Space Sci. 283, 23 (2003)

    Article  ADS  MATH  Google Scholar 

  28. Sharif, M.: Int. J. Mod. Phys. A 17, 1175 (2002)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  29. Sharif, M.: Int. J. Mod. Phys. A 18, 4361 (2003)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  30. Sharif, M.: Int. J. Mod. Phys. A 19, 1495 (2004)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  31. Sharif, M.: Int. J. Mod. Phys. D 13, 1019 (2004)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  32. Sharif, M., Fatima, T.: Nuovo Cim. B 120, 533 (2005)

    ADS  MathSciNet  Google Scholar 

  33. Sharif, M., Fatima, T.: Int. J. Mod. Phys. A 20, 4309 (2005)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  34. Mikhail, F.I., Wanas, M.I., Hindawi, A., Lashin, E.I.: Int. J. Theor. Phys. 32, 1627 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  35. Vargas, T.: Gen. Relativ. Gravit. 36, 1255 (2004)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  36. Penrose, R.: Proc. R. Soc. Lond. A 381, 53 (1982)

    ADS  MathSciNet  Google Scholar 

  37. Tod, K.P.: Proc. R. Soc. Lond. A 388, 457 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  38. Rosen, N.: Gen. Relativ. Gravit. 26, 323 (1994)

    Article  ADS  Google Scholar 

  39. Nashed, G.G.L.: Nuovo Cim. B 119, 967 (2004)

    ADS  MathSciNet  Google Scholar 

  40. Salti, M., Havare, A.: Int. J. Mod. Phys. A 20, 2169 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  41. Salti, M.: Int. J. Mod. Phys. A 20, 2175 (2005)

    Article  ADS  MATH  Google Scholar 

  42. Salti, M.: Astrophys. Space Sci. 229, 159 (2005)

    Article  ADS  Google Scholar 

  43. Aydogdu, O., Salti, M.: Astrophys. Space Sci. 229, 227 (2005)

    Article  ADS  Google Scholar 

  44. Aydogdu, O., Salti, M., Korunur, M.: Acta Phys. Slovaca 55, 537 (2005)

    ADS  Google Scholar 

  45. Sezgin, A., Melis, A., Tarhan, I.: Acta Physica Polonica B (2007, to appaer)

  46. De Andrade, V.L., Guillen, L.C.T., Pereira, J.G.: An Introduction to Geometrical Physics. World Scientific, Singapore (1995)

    Google Scholar 

  47. Gamow, G.: Nature (Lond.) 158, 549 (1946)

    Article  ADS  Google Scholar 

  48. Gödel, K.: Rev. Mod. Phys. 21, 447 (1949)

    Article  ADS  MATH  Google Scholar 

  49. Krori, K.D., Borgohain, P., Das (Kar), D.: J. Math. Phys. 29, 1645 (1988)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  50. Pereira, J.G., Vargas, T., Zhang, C.M.: Class. Quantum Gravity 18, 833 (2001)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  51. Sharif, M., Amir, M.J.: Gen. Relativ. Gravit. 38, 1735 (2006)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  52. Hehl, F.W., Macias, A.: Int. J. Mod. Phys. D 8, 399 (1999)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  53. Obukhov, Y.N., Vlachynsky, E.J., Esser, W., Tresguerres, R., Hehl, F.W.: Phys. Lett. A 220, 1 (1996)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  54. Baekler, P., Gurses, M., Hehl, F.W., McCrea, J.D.: Phys. Lett. A 128, 245 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  55. Vlachynsky, E.J., Esser, W., Tresguerres, R., Hehl, F.W.: Class. Quantum Gravity 13, 3253 (1996)

    Article  ADS  MATH  Google Scholar 

  56. Ho, J.K., Chern, D.C., Nester, J.M.: Chin. J. Phys. 35, 640 (1997)

    MathSciNet  Google Scholar 

  57. Hehl, F.W., Lord, E.A., Smally, L.L.: Gen. Relativ. Gravit. 13, 1037 (1981)

    Article  ADS  MATH  Google Scholar 

  58. Kawa, T., Toma, N.: Prog. Theor. Phys. 87, 583 (1992)

    Article  ADS  Google Scholar 

  59. Nashed, G.G.L.: Phys. Rev. D 66, 060415 (2002)

    Article  MathSciNet  Google Scholar 

  60. Nashed, G.G.L.: Gen. Relativ. Gravit. 34, 1074 (2002)

    Article  MathSciNet  Google Scholar 

  61. Sharif, M., Amir, M.J.: Gen. Relativ. Gravit. 39, 989 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  62. Sharif, M., Amir, M.J.: Mod. Phys. Lett. A 22, 425 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  63. Sharif, M., Amir, M.J.: Mod. Phys. Lett. A (2007, to appear)

  64. Havare, A., Salti, M., Yetkin, T.: On the energy-momentum densities of the cylindrically symmetric gravitational waves. gr-qc/0502057

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    M. Sharif & M. Jamil Amir

Authors
  1. M. Sharif
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Jamil Amir
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Sharif.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharif, M., Amir, M.J. Teleparallel Energy-Momentum Distribution of Spatially Homogeneous Rotating Spacetimes. Int J Theor Phys 47, 1742–1750 (2008). https://doi.org/10.1007/s10773-007-9616-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-007-9616-7

Keywords

Search

Navigation