메뉴 건너뛰기




Volumn 453, Issue 1959, 1997, Pages 835-851

The Lanczos potential for the Weyl curvature tensor: Existence, wave equation and algorithms

Author keywords

[No Author keywords available]

Indexed keywords

FLUID FLOW; MODELLING-MATHEMATICAL;

EID: 0030738936     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1997.0046     Document Type: Article
Times cited : (52)

References (31)
  • 1
    • 0030521912 scopus 로고    scopus 로고
    • & Edgar, S. B. 1996 The wave equations for the Weyl tensor/spinor and dimensionally dependent tensor identities. 5, 217-225.
    • Andersson, F. & Edgar, S. B. 1996 The wave equations for the Weyl tensor/spinor and dimensionally dependent tensor identities. Int. J. Mod. Phys. D 5, 217-225.
    • Int. J. Mod. Phys. D
    • Andersson, F.1
  • 2
    • 0002081754 scopus 로고    scopus 로고
    • et al. 1989 Lanczos potential. 30, 1294-1295.
    • Ares de Parga, G. et al. 1989 Lanczos potential. J. Math. Phys. 30, 1294-1295.
    • J. Math. Phys.
    • De Ares Parga, G.1
  • 3
    • 51249182284 scopus 로고    scopus 로고
    • & Davis, W. R. 1980 Lanczos-type potentials in non-Abelian gauge theories. 59, 116-132.
    • Atkins, W. K. & Davis, W. R. 1980 Lanczos-type potentials in non-Abelian gauge theories. Nuovo dm. B 59, 116-132.
    • Nuovo Dm. B
    • Atkins, W.K.1
  • 4
    • 0000208771 scopus 로고    scopus 로고
    • & Caviglia, G. 1983 Third-order tensor potentials for the Riemann and Weyl tensors. 15, 375-386.
    • Bampi, F. & Caviglia, G. 1983 Third-order tensor potentials for the Riemann and Weyl tensors. Gen. Rel. Grav. 15, 375-386.
    • Gen. Rel. Grav.
    • Bampi, F.1
  • 5
    • 0002380226 scopus 로고    scopus 로고
    • & Szekeres, P. 1972 Some properties of higher spin rest-mass zero fields in general relativity. 6, 111-121.
    • Bell, P. & Szekeres, P. 1972 Some properties of higher spin rest-mass zero fields in general relativity. Int. J. Theor. Phys. 6, 111-121.
    • Int. J. Theor. Phys.
    • Bell, P.1
  • 7
    • 0005161836 scopus 로고    scopus 로고
    • 1986 Two important invariant identities. 35, 769-770.
    • Dianyan, X. 1986 Two important invariant identities. Phys. Rev. D 35, 769-770.
    • Phys. Rev. D
    • Dianyan, X.1
  • 8
    • 85020788917 scopus 로고    scopus 로고
    • & Kirn, C. W. 1994n The wave equation for the Lanczos potential. 447, 557-575.
    • Dolan, P. & Kirn, C. W. 1994n The wave equation for the Lanczos potential. Proc. R. Soc. Land. A 447, 557-575.
    • Proc. R. Soc. Land. A
    • Dolan, P.1
  • 9
    • 85020807995 scopus 로고    scopus 로고
    • & Kim, C. W. 19946 Some solutions of the Lanczos vacuum wave equation. 447, 577-585.
    • Dolan, P. & Kim, C. W. 19946 Some solutions of the Lanczos vacuum wave equation. Proc. R. Soc. Lond. A 447, 577-585.
    • Proc. R. Soc. Lond. A
    • Dolan, P.1
  • 10
    • 84911755039 scopus 로고    scopus 로고
    • 1994a The wave equations for the Lanczos tensor/spinor, and a new tensor identity. 9, 479-482.
    • Edgar, S. B. 1994a The wave equations for the Lanczos tensor/spinor, and a new tensor identity. Mod. Phys. Lett. A 9, 479-482.
    • Mod. Phys. Lett. A
    • Edgar, S.B.1
  • 11
    • 21344498396 scopus 로고    scopus 로고
    • 19946 Non-existence of the Lanczos potential for the Riemann tensor in higher dimensions. 26, 329-332.
    • Edgar, S. B. 19946 Non-existence of the Lanczos potential for the Riemann tensor in higher dimensions. Gen. Rel. Grav. 26, 329-332.
    • Gen. Rel. Grav.
    • Edgar, S.B.1
  • 14
    • 21144471427 scopus 로고    scopus 로고
    • & Norris, L. K. 1993 The affine geometry of the Lanczos H-tensor formalism. 25, 55-80.
    • Hammon, K. S. & Norris, L. K. 1993 The affine geometry of the Lanczos H-tensor formalism. Gen. Rel. Grav. 25, 55-80.
    • Gen. Rel. Grav.
    • Hammon, K.S.1
  • 15
    • 21844494775 scopus 로고    scopus 로고
    • 1995 Identities of the scalars of the four-dimensional Riemannian manifold. 36, 356-361.
    • Harvey, A. 1995 Identities of the scalars of the four-dimensional Riemannian manifold. J. Math. Phys. 36, 356-361.
    • J. Math. Phys.
    • Harvey, A.1
  • 16
    • 85020791035 scopus 로고    scopus 로고
    • 1995 The Lanczos potential and its wave equation. 95-08. Department of Mathematics, Linköping University, Sweden.
    • Höglund, A. 1995 The Lanczos potential and its wave equation. M.Sc. dissertation, LiTH-MAT-Ex-95-08. Department of Mathematics, Linköping University, Sweden.
    • M.Sc. Dissertation, LiTH-MAT-Ex
    • Höglund, A.1
  • 17
    • 0000600610 scopus 로고    scopus 로고
    • 1988 On potentials for several classes of spinor and tensor fields in curved spacetimes. 20, 551-564.
    • Illge, R. 1988 On potentials for several classes of spinor and tensor fields in curved spacetimes. Gen. Rel Grav. 20, 551-564.
    • Gen. Rel Grav.
    • Illge, R.1
  • 18
    • 0005163735 scopus 로고    scopus 로고
    • & Parker, L. 1987 Linear independence of renormalization counterterms in curved spacetimes of arbitrary dimensionality. 28, 1137-1139.
    • Jack, I. & Parker, L. 1987 Linear independence of renormalization counterterms in curved spacetimes of arbitrary dimensionality. J. Math. Phys. 28, 1137-1139.
    • J. Math. Phys.
    • Jack, I.1
  • 19
    • 0000409944 scopus 로고    scopus 로고
    • 1962 The splitting of the Riemann tensor. 34, 379-389.
    • Lanczos, C. 1962 The splitting of the Riemann tensor. Rev. Mod. Phys. 34, 379-389.
    • Rev. Mod. Phys.
    • Lanczos, C.1
  • 20
    • 21144472228 scopus 로고    scopus 로고
    • et al. 1993 Lanczos spin tensor for empty type D space times. 10, 2153-2155.
    • Löpez-Bonilla, J. L. et al. 1993 Lanczos spin tensor for empty type D space times. Class. Quant. Grav. 10, 2153-2155.
    • Class. Quant. Grav.
    • Löpez-Bonilla, J.L.1
  • 21
    • 84972047921 scopus 로고    scopus 로고
    • 1970 Dimensionally dependent identities. 68, 345-350.
    • Lovelock, D. 1970 Dimensionally dependent identities. Proc. Camb. Phil. Soc. 68, 345-350.
    • Proc. Camb. Phil. Soc.
    • Lovelock, D.1
  • 22
    • 51249188920 scopus 로고    scopus 로고
    • & Zund, J. D. 1968 A spinor approach to the Lanczos spin tensor. 57, 638-648.
    • Mäher, W. F. & Zund, J. D. 1968 A spinor approach to the Lanczos spin tensor. Nuovo Cim. Serie X A 57, 638-648.
    • Nuovo Cim. Serie X A
    • Mäher, W.F.1
  • 23
    • 0037823519 scopus 로고    scopus 로고
    • & Pagani, E. 1984 Is the Riemann tensor derivable from a tensor potential? Gen. 16, 805-816.
    • Massa, E. & Pagani, E. 1984 Is the Riemann tensor derivable from a tensor potential? Gen. Rel. Grav. 16, 805-816.
    • Rel. Grav.
    • Massa, E.1
  • 24
    • 36849117833 scopus 로고    scopus 로고
    • & Penrose, R. 1962 An approach to gravitational radiation by a method of spin coefficients. 3, 566-578.
    • Newman, E. T. & Penrose, R. 1962 An approach to gravitational radiation by a method of spin coefficients. J. Math. Phys. 3, 566-578.
    • J. Math. Phys.
    • Newman, E.T.1
  • 25
    • 0002361230 scopus 로고    scopus 로고
    • & Velloso, V. 1987 The connection between general observers and Lanczos potential. 19, 1251-1265.
    • Novello, M. & Velloso, V. 1987 The connection between general observers and Lanczos potential. Gen. Rel. Grav. 19, 1251-1265.
    • Gen. Rel. Grav.
    • Novello, M.1
  • 27
    • 84879745268 scopus 로고    scopus 로고
    • & Rindler, W. 1984 Spinors and spacetime, vols 1 and 2.
    • Penrose, R. & Rindler, W. 1984 Spinors and spacetime, vols 1 and 2. Cambridge University Press.
    • Cambridge University Press.
    • Penrose, R.1
  • 28
    • 84911755039 scopus 로고    scopus 로고
    • 1989 Dimensional reduction and the Lanczos tensor. 4, 2739-2746.
    • Roberts, M. D. 1989 Dimensional reduction and the Lanczos tensor. Mod. Phys. Lett. 4, 2739-2746.
    • Mod. Phys. Lett.
    • Roberts, M.D.1
  • 29
    • 0012626450 scopus 로고    scopus 로고
    • 1975 Lanczos' splitting of the Riemann tensor. 1, 377-380.
    • Taub, A. H. 1975 Lanczos' splitting of the Riemann tensor. Comp. Math. Appl. 1, 377-380.
    • Comp. Math. Appl.
    • Taub, A.H.1
  • 30
    • 21844512655 scopus 로고    scopus 로고
    • 1995 Lanczos potential for some type-Z space-times. 36, 195-200.
    • Torres del Castillo, G. F. 1995 Lanczos potential for some type-Z) space-times. J. Math. Phys. 36, 195-200.
    • J. Math. Phys.
    • Torres Del Castillo, G.F.1
  • 31
    • 34250407140 scopus 로고    scopus 로고
    • 1975 The theory of Lanczos spinor. 104, 239-268.
    • Zund, J. D. 1975 The theory of Lanczos spinor. Ann. Math. Pura Appl. 104, 239-268.
    • Ann. Math. Pura Appl.
    • Zund, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.