Volume 1, Issue 2, December 2017, pp 1-4
V. Barrera-Figueroa1 J. López-Bonilla2 and R. López-Vázquez2
1 Sepi-upiita, Instituto Politécnico Nacional (IPN), Posgrado en Tecnología Avanzada, Av. IPN 2580, Col. Barrio la Laguna 07340, CDMX, México
2 ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP 07738, CDMX, México
We exhibit generators for the Lanczos spinor/tensor in Gödel cosmological model.
Lanczos spintensor, Weyl tensor, Gödel spacetime.
1. C. Lanczos, The splitting of the Riemann tensor, Rev. Mod. Phys. 34, No. 3 (1962) 379-389.
2. 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.
3. J. L. Synge, Relativity: the general theory, North-Holland, Amsterdam (1976).
4. H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, E. Herlt, Exact solutions of Einstein’s field equations, Cambridge University Press (2003).
5. J. López-Bonilla, G. Ovando, J. Rivera, Embedding of the Gödel metric, Aligarh Bull. Math. 17(1997-98) 63-66.
6. Z. Ahsan, J. López-Bonilla, A. Rangel-Merino, Wave equation in Gödel model, J. Vect. Rel. 4, No. 2 (2009) 80-81.
7. C. Hernández-Aguilar, A. Domínguez-Pacheco, J. López-Bonilla, B. Thapa, Embedding of the Gödel cosmological model, The SciTech, J. of Sci. & Tech. 4, No. 1 (2015) 18-20.
8. J. López-Bonilla, G. Ovando, Lanczos spintensor for the Gödel metric, Gen. Rel. Grav. 31, No. 7 (1999) 1071-1074.
9. V. Gaftoi, J. López-Bonilla, G. Ovando, Lanczos potential for the Gödel cosmological model, Czech. J. Phys. 52, No. 6 (2002) 811-813.
10. R. García-Olivo, J. López-Bonilla, S. Vidal-Beltrán, Gödel’s geometry: Embedding and Lanczos spintensor, EJTP 3, No. 12 (2006) 55-58.
11. J. H. Caltenco, R. Linares, J. López-Bonilla, A potential for conformal and curvature tensors in Gödel spacetime, South East Asian J. Math. & Math. Sc. 5, No. 1 (2006) 77-79.
12. Z. Ahsan, V. Barrera-Figueroa, J. López-Bonilla, A potential for Gödel cosmological model, Bull. Calcutta Math. Soc. 99, No. 4 (2007) 323-332.
13. Z. Ahsan, J. H. Caltenco, J. López-Bonilla, Lanczos potential for the Gödel spacetime, Ann. der Phys. 16, No. 4 (2007) 311-313.
14. Z. Ahsan, J. H. Caltenco, R. Linares, J. López-Bonilla, Lanczos generator in Gödel geometry, Comm.in Phys. 20, No. 1 (2010) 9-14.
15. J. López-Bonilla, R. López-Vázquez, J. Morales, G. Ovando, Petrov types and their canonical tetrads, Prespacetime Journal 7, No. 8 (2016) 1176-1186.
16. J. López-Bonilla, R. López-Vázquez, J. Morales, G. Ovando, Maxwell, Lanczos, and Weyl spinors, Prespacetime Journal 6, No. 6 (2015) 509-520.
17. P. Lam-Estrada, J. López-Bonilla, R. López-Vázquez, A. K. Rathie, Newman-Penrose equations, Bianchi identities, and Weyl-Lanczos relations, Prespacetime Journal 6, No. 8 (2015) 684-696.
18. J. López-Bonilla, R. López-Vázquez, J. Morales, G. Ovando, Spin coefficients formalism, Prespacetime Journal 6, No. 8 (2015) 697-709.
19. F. Andersson, S. B. Edgar, Local existence of spinor and tensor potentials, arXiv: gr-qc/990208v2 13 Jan 2000.
20. F. Andersson, S. B. Edgar, Existence of Lanczos potentials and superpotentials for the Weyl spinor/tensor, Class. Quantum Grav. 18, No. 12 (2001) 2297-2304.