Lanczos tensor (English Wikipedia)

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doi.org

  • Lanczos, Cornelius (1949-07-01). "Lagrangian Multiplier and Riemannian Spaces". Reviews of Modern Physics. 21 (3). American Physical Society (APS): 497–502. Bibcode:1949RvMP...21..497L. doi:10.1103/revmodphys.21.497. ISSN 0034-6861.
  • Novello, M.; Velloso, A. L. (1987). "The connection between general observers and Lanczos potential". General Relativity and Gravitation. 19 (12). Springer Science and Business Media LLC: 1251–1265. Bibcode:1987GReGr..19.1251N. doi:10.1007/bf00759104. ISSN 0001-7701. S2CID 122998917.
  • Lanczos, C. (1962-07-01). "The Splitting of the Riemann Tensor". Reviews of Modern Physics. 34 (3). American Physical Society (APS): 379–389. Bibcode:1962RvMP...34..379L. doi:10.1103/revmodphys.34.379. ISSN 0034-6861.
  • Bampi, Franco; Caviglia, Giacomo (1983). "Third-order tensor potentials for the Riemann and Weyl tensors". General Relativity and Gravitation. 15 (4). Springer Science and Business Media LLC: 375–386. Bibcode:1983GReGr..15..375B. doi:10.1007/bf00759166. ISSN 0001-7701. S2CID 122782358.
  • Edgar, S. Brian (1994). "Nonexistence of the Lanczos potential for the Riemann tensor in higher dimensions". General Relativity and Gravitation. 26 (3). Springer Science and Business Media LLC: 329–332. Bibcode:1994GReGr..26..329E. doi:10.1007/bf02108015. ISSN 0001-7701. S2CID 120343522.
  • Massa, Enrico; Pagani, Enrico (1984). "Is the Riemann tensor derivable from a tensor potential?". General Relativity and Gravitation. 16 (9). Springer Science and Business Media LLC: 805–816. Bibcode:1984GReGr..16..805M. doi:10.1007/bf00762934. ISSN 0001-7701. S2CID 120457526.
  • Curtright, Thomas (December 1985). "Generalized gauge fields". Physics Letters B. 165 (4–6): 304–308. Bibcode:1985PhLB..165..304C. doi:10.1016/0370-2693(85)91235-3.
  • O'Donnell, Peter (2004). "Letter: A Solution of the Weyl–Lanczos Equations for the Schwarzschild Space-Time". General Relativity and Gravitation. 36 (6). Springer Science and Business Media LLC: 1415–1422. Bibcode:2004GReGr..36.1415O. doi:10.1023/b:gerg.0000022577.11259.e0. ISSN 0001-7701. S2CID 122801979.
  • Hammon, K. S.; Norris, L. K. (1993). "The affine geometry of the Lanczos H-tensor formalism". General Relativity and Gravitation. 25 (1). Springer Science and Business Media LLC: 55–80. Bibcode:1993GReGr..25...55H. doi:10.1007/bf00756929. ISSN 0001-7701. S2CID 26822756.
  • Dolan, P.; Kim, C. W. (1994-12-08). "The wave equation for the Lanczos potential". Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 447 (1931): 557–575. Bibcode:1994RSPSA.447..557D. doi:10.1098/rspa.1994.0155. ISSN 0962-8444. S2CID 123625479.
  • Roberts, M. D. (1996). "The physical interpretation of the Lanczos tensor". Il Nuovo Cimento B. Series 11. 110 (10): 1165–1176. arXiv:gr-qc/9904006. doi:10.1007/bf02724607. ISSN 1826-9877. S2CID 17670505.
  • López-Bonilla, J. L.; Ovando, G.; Peña, J. J. (1999). "A Lanczos Potential for Plane Gravitational Waves". Foundations of Physics Letters. 12 (4). Springer Science and Business Media LLC: 401–405. doi:10.1023/a:1021656622094. ISSN 0894-9875. S2CID 118057344.
  • Ahsan, Zafar; Bilal, Mohd (2010-08-26). "A Solution of Weyl-Lanczos Equations for Arbitrary Petrov Type D Vacuum Spacetimes". International Journal of Theoretical Physics. 49 (11). Springer Science and Business Media LLC: 2713–2722. Bibcode:2010IJTP...49.2713A. doi:10.1007/s10773-010-0464-5. ISSN 0020-7748. S2CID 123625845.

ejtp.com

harvard.edu

ui.adsabs.harvard.edu

  • Lanczos, Cornelius (1949-07-01). "Lagrangian Multiplier and Riemannian Spaces". Reviews of Modern Physics. 21 (3). American Physical Society (APS): 497–502. Bibcode:1949RvMP...21..497L. doi:10.1103/revmodphys.21.497. ISSN 0034-6861.
  • Novello, M.; Velloso, A. L. (1987). "The connection between general observers and Lanczos potential". General Relativity and Gravitation. 19 (12). Springer Science and Business Media LLC: 1251–1265. Bibcode:1987GReGr..19.1251N. doi:10.1007/bf00759104. ISSN 0001-7701. S2CID 122998917.
  • Lanczos, C. (1962-07-01). "The Splitting of the Riemann Tensor". Reviews of Modern Physics. 34 (3). American Physical Society (APS): 379–389. Bibcode:1962RvMP...34..379L. doi:10.1103/revmodphys.34.379. ISSN 0034-6861.
  • Bampi, Franco; Caviglia, Giacomo (1983). "Third-order tensor potentials for the Riemann and Weyl tensors". General Relativity and Gravitation. 15 (4). Springer Science and Business Media LLC: 375–386. Bibcode:1983GReGr..15..375B. doi:10.1007/bf00759166. ISSN 0001-7701. S2CID 122782358.
  • Edgar, S. Brian (1994). "Nonexistence of the Lanczos potential for the Riemann tensor in higher dimensions". General Relativity and Gravitation. 26 (3). Springer Science and Business Media LLC: 329–332. Bibcode:1994GReGr..26..329E. doi:10.1007/bf02108015. ISSN 0001-7701. S2CID 120343522.
  • Massa, Enrico; Pagani, Enrico (1984). "Is the Riemann tensor derivable from a tensor potential?". General Relativity and Gravitation. 16 (9). Springer Science and Business Media LLC: 805–816. Bibcode:1984GReGr..16..805M. doi:10.1007/bf00762934. ISSN 0001-7701. S2CID 120457526.
  • Curtright, Thomas (December 1985). "Generalized gauge fields". Physics Letters B. 165 (4–6): 304–308. Bibcode:1985PhLB..165..304C. doi:10.1016/0370-2693(85)91235-3.
  • O'Donnell, Peter (2004). "Letter: A Solution of the Weyl–Lanczos Equations for the Schwarzschild Space-Time". General Relativity and Gravitation. 36 (6). Springer Science and Business Media LLC: 1415–1422. Bibcode:2004GReGr..36.1415O. doi:10.1023/b:gerg.0000022577.11259.e0. ISSN 0001-7701. S2CID 122801979.
  • Hammon, K. S.; Norris, L. K. (1993). "The affine geometry of the Lanczos H-tensor formalism". General Relativity and Gravitation. 25 (1). Springer Science and Business Media LLC: 55–80. Bibcode:1993GReGr..25...55H. doi:10.1007/bf00756929. ISSN 0001-7701. S2CID 26822756.
  • Dolan, P.; Kim, C. W. (1994-12-08). "The wave equation for the Lanczos potential". Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 447 (1931): 557–575. Bibcode:1994RSPSA.447..557D. doi:10.1098/rspa.1994.0155. ISSN 0962-8444. S2CID 123625479.
  • Ahsan, Zafar; Bilal, Mohd (2010-08-26). "A Solution of Weyl-Lanczos Equations for Arbitrary Petrov Type D Vacuum Spacetimes". International Journal of Theoretical Physics. 49 (11). Springer Science and Business Media LLC: 2713–2722. Bibcode:2010IJTP...49.2713A. doi:10.1007/s10773-010-0464-5. ISSN 0020-7748. S2CID 123625845.

jstor.org

  • Cornelius Lanczos, "A Remarkable Property of the Riemann–Christoffel Tensor in Four Dimensions", Annals of Mathematics, 39 (1938) pp. 842–850. www.jstor.org/stable/1968467

semanticscholar.org

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  • Lanczos, Cornelius (1949-07-01). "Lagrangian Multiplier and Riemannian Spaces". Reviews of Modern Physics. 21 (3). American Physical Society (APS): 497–502. Bibcode:1949RvMP...21..497L. doi:10.1103/revmodphys.21.497. ISSN 0034-6861.
  • Novello, M.; Velloso, A. L. (1987). "The connection between general observers and Lanczos potential". General Relativity and Gravitation. 19 (12). Springer Science and Business Media LLC: 1251–1265. Bibcode:1987GReGr..19.1251N. doi:10.1007/bf00759104. ISSN 0001-7701. S2CID 122998917.
  • Lanczos, C. (1962-07-01). "The Splitting of the Riemann Tensor". Reviews of Modern Physics. 34 (3). American Physical Society (APS): 379–389. Bibcode:1962RvMP...34..379L. doi:10.1103/revmodphys.34.379. ISSN 0034-6861.
  • Bampi, Franco; Caviglia, Giacomo (1983). "Third-order tensor potentials for the Riemann and Weyl tensors". General Relativity and Gravitation. 15 (4). Springer Science and Business Media LLC: 375–386. Bibcode:1983GReGr..15..375B. doi:10.1007/bf00759166. ISSN 0001-7701. S2CID 122782358.
  • Edgar, S. Brian (1994). "Nonexistence of the Lanczos potential for the Riemann tensor in higher dimensions". General Relativity and Gravitation. 26 (3). Springer Science and Business Media LLC: 329–332. Bibcode:1994GReGr..26..329E. doi:10.1007/bf02108015. ISSN 0001-7701. S2CID 120343522.
  • Massa, Enrico; Pagani, Enrico (1984). "Is the Riemann tensor derivable from a tensor potential?". General Relativity and Gravitation. 16 (9). Springer Science and Business Media LLC: 805–816. Bibcode:1984GReGr..16..805M. doi:10.1007/bf00762934. ISSN 0001-7701. S2CID 120457526.
  • O'Donnell, Peter (2004). "Letter: A Solution of the Weyl–Lanczos Equations for the Schwarzschild Space-Time". General Relativity and Gravitation. 36 (6). Springer Science and Business Media LLC: 1415–1422. Bibcode:2004GReGr..36.1415O. doi:10.1023/b:gerg.0000022577.11259.e0. ISSN 0001-7701. S2CID 122801979.
  • Hammon, K. S.; Norris, L. K. (1993). "The affine geometry of the Lanczos H-tensor formalism". General Relativity and Gravitation. 25 (1). Springer Science and Business Media LLC: 55–80. Bibcode:1993GReGr..25...55H. doi:10.1007/bf00756929. ISSN 0001-7701. S2CID 26822756.
  • Dolan, P.; Kim, C. W. (1994-12-08). "The wave equation for the Lanczos potential". Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 447 (1931): 557–575. Bibcode:1994RSPSA.447..557D. doi:10.1098/rspa.1994.0155. ISSN 0962-8444. S2CID 123625479.
  • Roberts, M. D. (1996). "The physical interpretation of the Lanczos tensor". Il Nuovo Cimento B. Series 11. 110 (10): 1165–1176. arXiv:gr-qc/9904006. doi:10.1007/bf02724607. ISSN 1826-9877. S2CID 17670505.
  • López-Bonilla, J. L.; Ovando, G.; Peña, J. J. (1999). "A Lanczos Potential for Plane Gravitational Waves". Foundations of Physics Letters. 12 (4). Springer Science and Business Media LLC: 401–405. doi:10.1023/a:1021656622094. ISSN 0894-9875. S2CID 118057344.
  • Ahsan, Zafar; Bilal, Mohd (2010-08-26). "A Solution of Weyl-Lanczos Equations for Arbitrary Petrov Type D Vacuum Spacetimes". International Journal of Theoretical Physics. 49 (11). Springer Science and Business Media LLC: 2713–2722. Bibcode:2010IJTP...49.2713A. doi:10.1007/s10773-010-0464-5. ISSN 0020-7748. S2CID 123625845.