Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2010 (2010), Article ID 379473, 6 pages
http://dx.doi.org/10.1155/2010/379473
Research Article

Møller's Energy in the Kantowski-Sachs Space-Time

Mathematics Department, Faculty of Science, Minia University, 61915 El-Minia, Egypt

Received 17 December 2009; Accepted 24 February 2010

Academic Editor: Ira Rothstein

Copyright © 2010 M. Abdel-Megied and Ragab M. Gad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. C. Tolman, Relativity, Thermodynamics and Cosmology, Oxford University Press, Oxford, UK, 1934.
  2. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Pergamon Press, Oxford, UK, 1962. View at MathSciNet
  3. A. Papapetrou, “Einstein's theory of gravitation and flat space,” Proceedings of the Royal Irish Academy. Section A, vol. 52, pp. 11–23, 1948. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. P. G. Bergmann and R. Thompson, “Spin and Angular Momentum in General Relativity,” Physical Review, vol. 89, no. 2, pp. 400–407, 1953. View at Publisher · View at Google Scholar
  5. S. Weinberg, Gravitation and Cosmology: Principles and Applications of General Theory of Relativity, Wiley, New York, NY, USA, 1972.
  6. C. Møller, “On the localization of the energy of a physical system in the general theory of relativity,” Annals of Physics, vol. 4, no. 4, pp. 347–371, 1958. View at Google Scholar
  7. C. Møller, “Further remarks on the localization of the energy in the general theory of relativity,” Annals of Physics, vol. 12, no. 1, pp. 118–133, 1961. View at Google Scholar
  8. C. Møller, “Momentum and energy in general relativity and gravitational radiation,” Kongelige Danske Videnskabernes Selskab, Matematisk-Fysiske Meddelelser, vol. 34, no. 3, 1964. View at Google Scholar
  9. R. Kantowski and R. K. Sachs, “Some spatially homogeneous anisotropic relativistic cosmological models,” Journal of Mathematical Physics, vol. 7, no. 3, pp. 443–446, 1966. View at Publisher · View at Google Scholar
  10. A. S. Kompaneets and A. S. Chernov, “Solution of the gravitation equations for a homogeneous anisotropic model,” Soviet Physics, vol. 20, pp. 1303–1306, 1964. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. C. B. Collins, “Global structure of the “Kantowski–Sachs” cosmological models,” Journal of Mathematical Physics, vol. 18, no. 11, pp. 2116–2124, 1977. View at Google Scholar
  12. R. M. Gad and A. Fouad, “Energy and momentum distributions of Kantowski and Sachs space-time,” Astrophysics and Space Science, vol. 310, no. 1-2, pp. 135–140, 2007. View at Google Scholar
  13. A. Einstein, Zur Allgemeinen Relativitaetstheorie, Sitzungsber, Preussischen Akademie der Wissenschaften, Berlin, Germany, 1915.
  14. F. I. Mikhail, M. I. Wanas, A. Hindawi, and E. I. Lashin, “Energy-momentum complex in Møller's tetrad theory of gravitation,” International Journal of Theoretical Physics, vol. 32, no. 9, pp. 1627–1642, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  15. A. R. Prasanna, “On certain space-times having the fourth component of energy-momentum complex identically zero,” Progress of Theoretical Physics, vol. 45, pp. 1330–1335, 1971. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. R. M. Gad, “Energy and momentum densities of cosmological models, and equation of state ρ=μ, in general relativity and teleparallel gravity,” International Journal of Theoretical Physics, vol. 46, no. 12, pp. 3263–3274, 2007. View at Publisher · View at Google Scholar · View at MathSciNet