A potential for the Lanczos generator of the Gödel spacetime

  • Dr. López- Bonilla
  • J. Yaljá Montiel -Pérez
  • R. López- Vázquez
Keywords: Gödel cosmological model, Lanczos spintensor, Weyl tensor

Abstract

We construct the Lanczos generator for the Gödel metric.

Author Biographies

Dr. López- Bonilla

National Polythecnic Institute

J. Yaljá Montiel -Pérez

Centro de Investigación en Computación, Instituto Politécnico Nacional, CDMX, México

R. López- Vázquez

ESIME-Zacatenco, IPN, Edif. 4, Col. Lindavista 07738, CDMX, México

References

K. Gödel, An example of a new type of cosmological solution of Einstein’s field equations of gravitation,
Rev. Mod. Phys. 21, No. 3 (1949) 447-450.
2. H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, E. Herlt, Exact solutions of Einstein’s field
equations, Cambridge University Press (2003).
3. R. García-Olivo, J. López-Bonilla, S. Vidal-Beltrán, Gödel’s geometry: Embedding and Lanczos
spintensor, Electron. J. Theor. Phys. 3, No. 12 (2006) 55-58.
4. C. Lanczos, The splitting of the Riemann tensor, Rev. Mod. Phys. 34, No. 3 (1962) 379-389.
5. C. Lanczos, The Riemannian tensor in four dimensions, Annales de la Faculté des Sciences de Université
de Clermont-Ferrand 8 (1962) 167-170.
6. G. Ares de Parga, O. Chavoya, J. López-Bonilla, Lanczos potential, J. Math. Phys. 30, No. 6 (1989)
1294-1295.
7. J. López-Bonilla, G. Ovando, Lanczos spintensor for the Gödel metric, Gen. Rel. Grav. 31, No. 7 (1999)
1071-1074.
8. V. Gaftoi-Negoescu, J. López-Bonilla, G. Ovando, Lanczos potential for the Gödel cosmological model,
Czech. J. Phys. 52, No. 6 (2002) 811-813.
9. J. Bergman, Conformal Einstein spaces and Bach tensor generalizations in n dimensions, Institute of
Technology, Linköping University, Sweden (2004).
Published
2019-02-02
How to Cite
Bonilla, D. L.-, -Pérez, J. Y., & Vázquez, R. L.-. (2019). A potential for the Lanczos generator of the Gödel spacetime. IJO - International Journal of Mathematics (ISSN: 2992-4421 ), 2(01), 07-08. Retrieved from https://www.ijojournals.com/index.php/m/article/view/69