Journal
Article title
Content
Title variants
Languages of publication
Abstracts
We obtain the Newman-Penrose (NP) version of the Riemann tensor and the corresponding Bianchi identities. We also realize the NP transcription of the Weyl-Lanczos equations, and we emphasize that it is an open problem to find general solutions of this equations for the Petrov types I, II, and D, and to establish the possible physical meaning of the Lanczos potential.
Discipline
Publisher
Journal
Year
Volume
Pages
1-12
Physical description
Contributors
author
- ESFM, Instituto Politécnico Nacional, Edif. 9, Dept. of Maths., Lindavista 07738, CDMX, México
author
- ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, Lindavista 07738, CDMX, México
author
- ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, Lindavista 07738, CDMX, México
author
- ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, Lindavista 07738, CDMX, México
References
- [1] J. López-Bonilla, R. López-Vázquez, J. Morales, G. Ovando, Prespacetime Journal 6(6) (2015) 509-520.
- [2] J. López-Bonilla, R. López-Vázquez, J. Morales, G. Ovando, Prespacetime Journal 6(8) (2015) 697-709.
- [3] B. Man-Tuladhar, J. López-Bonilla, World Scientific News 95 (2018) 1-20.
- [4] J. López-Bonilla, J. Yaljá Montiel-Pérez, E. Ramírez, Apeiron 13(2) (2006) 196-205.
- [5] J. López-Bonilla, H. N. Núñez-Yépez, A. L. Salas-Brito, Prespacetime Journal 7(3) (2016) 509-511.
- [6] D. E. Rowe, The Mathematical Intelligencer 24(4) (2002) 57-66.
- [7] J. Plebański, A. Krasiński, An introduction to general relativity and cosmology, Cambridge University Press (2006).
- [8] H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, E. Herlt, Exact solutions of Einstein’s field equations, Cambridge University Press (1980).
- [9] A. Einstein, Math. Ann. 97 (1926) 99-103.
- [10] C. Lanczos, Ann. Math. 39(2) (1938) 842-850.
- [11] C. Lanczos, Rev. Mod. Phys. 34(3) (1962) 379-389.
- [12] R. Debever, J. Géhéniau, Bull. Acad. Roy. Belg. Cl. Sc. 42 (1956) 114.
- [13] E. Newman, R. Penrose, J. Math. Phys. 3(3) (1962) 566-578.
- [14] E. Newman, R. Penrose, Scholarpedia 4(6) (2009) 7445.
- [15] H. Takeno, Tensor N. S. 15 (1964) 103-119.
- [16] F. Bampi, G. Caviglia, Gen. Rel. Grav. 15(4) (1983) 375-386.
- [17] R. Illge, Gen. Rel. Grav. 20(6) (1988) 551-564.
- [18] G. Ares de Parga, O. Chavoya, J. López-Bonilla, J. Math. Phys. 30(6) (1989) 1294-1295.
- [19] P. O’Donnell, H. Pye, EJTP 7(24) (2010) 327-350.
- [20] M. Carmeli, Group theory and general relativity. McGraw-Hill, New York (1977).
- [21] M. Carmeli, Classical fields: general relativity and gauge theory. John Wiley, New York (1982).
- [22] S. Chandrasekhar, The mathematical theory of black holes. Oxford University Press (1983).
- [23] P. O’Donnell, Introduction to 2-spinors in general relativity. World Scientific, Singapore (2003).
- [24] M. Carmeli, S. Malin, Theory of spinors: An introduction. World Scientific, Singapore (2000).
- [25] G. F. Torres del Castillo, Spinors in four-dimensional spaces, Birkhäuser, Boston (2010).
- [26] W. F. Maher, J. D. Zund, Nuovo Cim. A 57(4) (1968) 638-648.
- [27] J. D. Zund, Ann. di Mat. Pura ed Appl. 109(1) (1975) 239-268.
- [28] A. H. Taub, Comps. Maths. Appls. 1(3-4) (1975) 377-380.
- [29] F. Andersson, S. B. Edgar, J. Math. Phys. 41(5) (2000) 2990-3001.
- [30] R. Illge, Math. Nachr. 278(14) (2005) 1681-1688.
- [31] R. Penrose, Ann. of Phys. 10(2) (1960) 171-201.
- [32] M. Acevedo, M. Enciso, J. López-Bonilla, EJTP 3(9) (2006) 79-82.
- [33] B. Carvajal-Gámez, J. López-Bonilla, R. López-Vázquez, Prespacetime Journal 6(3) (2015) 151-155.
- [34] R. García-Olivo, N. Hamdan, J. López-Bonilla, EJTP 4(15) (2007) 101-104.
- [35] J. López-Bonilla, R. López-Vázquez, J. Morales, G. Ovando, Prespacetime Journal 7(8) (2016) 1176-1186.
- [36] J. López-Bonilla, R. López-Vázquez, H. Torres-Silva, Prespacetime Journal 7(8) (2016) 1194-1199.
- [37] V. Gaftoi, J. López-Bonilla, G. Ovando, Nuovo Cim. B 113(12) (1998) 1493-1496.
- [38] J. López-Bonilla, J. Morales, G. Ovando, Gen. Rel. Grav. 31(3) (1999) 413-415.
- [39] J. López-Bonilla, G. Ovando, Gen. Rel. Grav. 31(7) (1999) 1071-1074.
- [40] J. López-Bonilla, G. Ovando, J. Peña, Found. Phys. Lett. 12(4) (1999) 401-405.
- [41] J. H. Caltenco, J. López-Bonilla, J. Morales, G. Ovando, Chinese J. Phys. 39(5) (2001) 397-400.
- [42] V. Gaftoi, J. López-Bonilla, G. Ovando, Czech. J. Phys. 52(6) (2002) 811-813.
- [43] Z. Ahsan, J. H. Caltenco, J. López-Bonilla, Ann. Phys. (Leipzig) 16(4) (2007) 311-313.
- [44] I. Guerrero-Moreno, J. López-Bonilla, A. Rangel-Merino, The Icfai Univ. J. Phys. 2(1) (2009) 7-17.
- [45] Z. Ahsan, M. Bilal, J. López-Bonilla, J. Vect. Rel. 5(3) (2010) 35-41.
- [46] J. López-Bonilla, J. Morales, G. Ovando, New Advances in Phys. 8(2) (2014) 107-110.
Document Type
article
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.psjd-c8cda4a3-0d9a-4f13-a2f4-bd93a25d385d