Skip to main content
Log in

Ricci Collineations for Type B Warped Space-times

  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We present the general structure of proper Ricci Collineations (RC) for type B warped space-times. Within this framework, we give a detailed description of the most general proper RC for spherically symmetric metrics. As examples, static spherically symmetric and Friedmann-Robertson-Walker space-times are considered.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Katzin, G. H., Levine, J., and Davis, W. R. (1969). J. Math. Phys. 10, 617.

    Google Scholar 

  2. Hojman, S., Núñez, L., Patiño, A., and Rago, H. (1986). J. Math. Phys. 27, 281.

    Google Scholar 

  3. Bedran, M. L., and Lesche, B. (1986). J. Math. Phys. 27, 2360.

    Google Scholar 

  4. Aichelburg, P. (1970). J. Math. Phys. 11, 2458.

    Google Scholar 

  5. Green, L. H., Norris, L. K., Oliver, D. R., and Davis, W. R. (1977). Gen. Rel. Grav. 8, 731.

    Google Scholar 

  6. Coley, A. A., and Tupper, B. O. J. (1989). J. Math. Phys. 30, 2616.

    Google Scholar 

  7. Oliver, D. R., and Davis, W. R. (1977). Gen. Rel. Grav. 8, 905.

    Google Scholar 

  8. Tsamparlis, M., and Mason, D. P. (1990). J. Math. Phys. 31, 1707.

    Google Scholar 

  9. Duggal, K. L. (1992). J. Math. Phys. 33, 2989.

    Google Scholar 

  10. Aulestia, L., Núñez, L., Patiño, A., Rago, H., and Herrera, L. (1984). Nuovo Cimento B80, 133.

    Google Scholar 

  11. Núñez, L., Percoco, U., and Villalba, V. M. (1990). J. Math. Phys. 31, 137.

    Google Scholar 

  12. Melfo, A., Núñez, L. A., Percoco, U., and Villalba, V. (1992). J. Math. Phys. 33, 2558.

    Google Scholar 

  13. Melfo, A., and Núñez, L. A. (1992). Gen. Rel. Grav. 24, 1125.

    Google Scholar 

  14. Bertolotti, R., Núñez, L. A., and Percoco, U. (1995). “Computer Algebra and Collineation Vectors in General Relativity.” Preprint, Laboratorio de Física Teórica, Universidad de los Andes.

  15. Carot, J., da Costa, J., and Vaz, E. G. L. R. (1994). J. Math. Phys. 35, 4832.

    Google Scholar 

  16. Hall, G. S. (1990). J. Math. Phys. 31, 1198.

    Google Scholar 

  17. Hall, G. S., Roy, I., and Vaz, E. G. L. R. (1996). Gen. Rel. Grav. 28, 299.

    Google Scholar 

  18. Carot, J., and da Costa, J. (1993). Class. Quantum Grav. 10, 461.

    Google Scholar 

  19. Haddow, B., and Carot, J. (1996). Class. Quantum Grav. 13, 289.

    Google Scholar 

  20. Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980). Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge).

    Google Scholar 

  21. Bokhari, A. H., and Qadir, A. (1993). J. Math. Phys. 34, 3543.

    Google Scholar 

  22. Jamil Amir, M., Bokhari, A. H., and Qadir, A. (1994). J. Math. Phys. 35, 3005.

    Google Scholar 

  23. Farid, T. B., Qadir, A., and Ziad, M. (1995). J. Math. Phys. 36, 5812.

    Google Scholar 

  24. Bertolotti, R., Contreras, G., Núñez, L. A., Percoco, U., and Carot, J. (1996). J. Math. Phys. 37, 1086.

    Google Scholar 

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

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carot, J., Núñez, L.A. & Percoco, U. Ricci Collineations for Type B Warped Space-times. General Relativity and Gravitation 29, 1223–1237 (1997). https://doi.org/10.1023/A:1018807728811

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018807728811

Navigation