A note on proper projective collineation in special Bianchi type I space-times

Ghulam Shabbir and Amjad Ali1


We investigate proper projective collineations in special Bianchi type I space-times using direct integration and algebraic techniques. We have found that when the above space-time admits a proper projective collineation, it turns out to be a special class of Friedmann Robertson-Walker k = 0 model.


  1. G. S. Hall, Symmetries and Curvature Structure in General Relativity (World Scientific, 2004).
  2. H. Stephani, D. Kramer, M. A. H. MacCallum, C. Hoenselears, and E. Herlt, Exact Solutions of Einstein's Field Equations (Cambridge University Press, 2003).
  3. G. S. Hall and C. B. G. McIntosh, Int. J. Theor. Phys. 22, 469 (1983).
  4. G. Shabbir, Nuovo Cim. B 119, 433 (2004).
  5. A. Barnes, Class. Quantum Gravity 10, 1139 (1993).
  6. G. Shabbir and M. A. Qureshi, Modern Phys. Lett. A 21, 1795 (2006).
  7. G. S. Hall, Class. Quantum Gravity 17, 3073 (2000).
  8. G. S. Hall, Differential Geometry and its application (Masaryk University, Brno, Czech Republic, 1996).
  9. G. Shabbir and K. B. Amur, Applied Sciences 8, 153 (2006).
  10. G. Shabbir, Differential Geometry-Dynamical Systems 9, 138 (2007).
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