@incollection{AST_1985__S131__401_0,
author = {Trautman, Andrzej},
title = {Optical structures in relativistic theories},
booktitle = {\'Elie Cartan et les math\'ematiques d'aujourd'hui - Lyon, 25-29 juin 1984},
series = {Ast\'erisque},
pages = {401--420},
year = {1985},
publisher = {Soci\'et\'e math\'ematique de France},
number = {S131},
mrnumber = {837209},
zbl = {0599.53055},
language = {en},
url = {https://www.numdam.org/item/AST_1985__S131__401_0/}
}
TY - CHAP AU - Trautman, Andrzej TI - Optical structures in relativistic theories BT - Élie Cartan et les mathématiques d'aujourd'hui - Lyon, 25-29 juin 1984 AU - Collectif T3 - Astérisque PY - 1985 SP - 401 EP - 420 IS - S131 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_1985__S131__401_0/ LA - en ID - AST_1985__S131__401_0 ER -
%0 Book Section %A Trautman, Andrzej %T Optical structures in relativistic theories %B Élie Cartan et les mathématiques d'aujourd'hui - Lyon, 25-29 juin 1984 %A Collectif %S Astérisque %D 1985 %P 401-420 %N S131 %I Société mathématique de France %U https://www.numdam.org/item/AST_1985__S131__401_0/ %G en %F AST_1985__S131__401_0
Trautman, Andrzej. Optical structures in relativistic theories, dans Élie Cartan et les mathématiques d'aujourd'hui - Lyon, 25-29 juin 1984, Astérisque, no. S131 (1985), pp. 401-420. https://www.numdam.org/item/AST_1985__S131__401_0/
[1]. - Leçons sur la théorie des spineurs, Actualités Sci. Indust. n°643 and 701, Paris, Hermann, 1938. | JFM | Zbl
[2] . - Sur les espaces conformes généralisés et l'Univers optique, C.R. Acad. Sci. Paris, t. 174, 1922, p. 857-859. | JFM
[3] . - Null electromagnetic fields, J. Math. Phys., t. 2, 1959, p. 290-291. | MR | DOI
[4] and . - Spherical gravitational waves in general relativity, Proc. Roy. Soc. London Ser. A, t.265, 1962, p. 463-473. | Zbl | MR | DOI
[5.] . - Gravitational field of a spinning mass as an example of algebraically special metrics, Phys. Rev. Lett., t. 11, 1963, p. 237-238. | MR | Zbl | DOI
[6.] , , and . - Exact Solutions of Einstein's Field Equations. - Cambridge and Berlin, Cambridge University Press and Deutscher Verlag der Wissenschaften, 1980. | MR | Zbl
[7] . - Un théorème sur les champs de Yang-Mills isotropes, C.R. Acad. Sci. Paris, t. 297, 1983, p. 209-212. | MR | Zbl
[8] and . - A theorem on Petrov types, Acta Phys. Polon., t. 22 Suppl., 1962, p. 13-23. | MR | Zbl
[9] and . - Generalization of a theorem by GOLDBERG and SACHS, J. Math. Phys., t. 4, 1963, p. 484-489. | MR | Zbl | DOI
[10] and . - A remark on the generalized Goldberg-Sachs theorem, GRG Journal, t. 5, 1975, p. 507-512. | MR | DOI
[11] . - Gravitational waves in general relativity VI, The outgoing radiation condition, Proc. Roy. Soc. London Ser. A, t. 264, 1961, p. 309-338 | MR | Zbl | DOI
. - Distance and the asymptotic behaviour of waves in general relativity in "Recent developments in General Relativity", volume dedicated to Leopold Infeld, New York and Warsaw, Pergamon Press and PWN, 1962. | MR
[12] and . - An approach to gravitational radiation by a method of spin coefficients, J. Math. Phys., t. 3, 1962, p. 566-578. | MR | Zbl | DOI
[13] . - Zero rest-mass fields including gravitation : asymptotic behaviour, Proc. Roy. Soc. London Ser. A, t. 284, 1965, p. 159-203. | Zbl | MR | DOI
[14] . - The Newman-Penrose method in the theory of general relativity. Proc. (Trudy) of the P.N. Lebedev Physics Inst. vol. 96 (transl. from Russian), New York and London, Consultants Bureau, 1979.
[15] and (Eds.).- Asymptotic structure of space-time. New York and London, Plenum Press, 1977. | MR | DOI
[16] . - Exact vacuum solutions of Einstein's equation from linearized solutions, J. Math. Phys., t. 19, 1978, p. 1607-1609. | MR | Zbl | DOI
[17] and . - A new class of vacuum solutions of the Einstein field equations, in : "Atti del Convegno sulla Relatività Generale : Problemi dell'energia e onde gravitazionali", pp. 1-12, Firenze, G. Barbèra, Editore, 1965.
[18] . - Deformations of the Hodge map and optical geometry, J. Geometry and Physics, t. 1, 1984, p. 85-95. | MR | Zbl | DOI
[19] and . - Optical geometry (in preparation). | Zbl
[20] . - Classification of spaces defining gravitational fields, Scientific Notices Kazan State Univ., t. 114, N°8, 1954, p. 55-69 (Russian). | MR | Zbl
[21] . - Invariant formulation of gravitational radiation theory, Phys. Rev, t. 105, 1957, p. 1089-1099. | MR | Zbl | DOI
[22] . - La super-énergie en relativité générale, Bull. Soc. Math. Belg., t. 10, 1958, p. 112-147. | MR | Zbl
[23] . - Sur les ondes et radiations gravitationnelles, C.R. Acad. Sci. Paris, t. 246, 1958, p. 893-896. | MR | Zbl
[24] . - Sur la radiation gravitationnelle, C.R. Acad. Sci. Paris, t. 247, 1958, p. 1094-1096. | MR | Zbl
[25] . - A spinor approach to general relativity, Ann. Phys. (N.Y.), t. 10, 1960, p. 171-201. | MR | Zbl | DOI
[26] . - The transformation of coordinates which can be used to transform one physical problem into another, Proc. Lond. Math. Soc., t. 8, 1910, p. 469-488. | MR | JFM | DOI
[27] and . - Conformal two-structure as the gravitational degrees of freedom in general relativity, J. Math. Phys., t. 19, 1978, p. 2447-60. | MR | DOI
[28] , and . - Beiträge zur Theorie der reinen Gravitationsstrahlung, Akad. Wiss. Mainz, Abh. Math.-Naturwiss. Kl., t. 1, 1961, p. 3-62. | MR | Zbl
[29] and . - Exact solutions of Einstein-Maxwell equations, J. Math. Mech., t. 16, 1966, p. 501-508. | MR | Zbl
[30] , and . - A complex vectorial formalism in general relativity, J. Math. Mech., t. 16, 1967, p. 761-786. | MR | Zbl
[31] . - Semi-Riemannian geometry with applications to relativity. - New York, Academic Press, 1983. | MR | Zbl
[32] , and . - Degenerate gravitational fields with twisting rays, J. Math. Mech., t. 18, 1969, p. 881-892. | MR | Zbl
[33] . - A generalized Kerr-Schild solution of Einstein's equations, Proc. Camb. Phil. Soc., t. 75, 1974, p. 383-390. | MR | Zbl | DOI
[34] . - Type- gravitational field with twist, Phys. Rev. Lett., t. 33, 1974, p. 1112-3. | Zbl | MR | DOI
[35] and . - Null geodesic surfaces and the Goldberg-Sachs theorem in complex Riemannian spaces, J. Math. Phys., t. 16, 1975, p. 2403-2407. | MR | Zbl | DOI
[36] and . - Left-degenerate vacuum metrics, Phys. Rev. Lett., t. 37, 1976, p. 493-5. | MR | DOI
[37] , and . - Algebraically special Yang-Mills solutions without sources, J. Math. Phys., t. 22, 1981, p. 2040-54. | MR | Zbl | DOI
[38] . - Lectures on differential geometry. - Englewood Cliffs, N.J., Prentice-Hall, 1964. | MR | Zbl
[39] . - Transformations groups in differential geometry. - Berlin, Springer-Verlag, 1972. | MR | Zbl | DOI
[40] and . - Conformal geometry of flows in n dimensions, J. Math. Phys, t. 24, 1983, p. 1425-29. | MR | Zbl | DOI
[41] . - Twistor algebra, J. Math. Phys., t. 8, 1967, p. 345-366. | MR | Zbl | DOI
[42] - On the origins of twistor theory, article in "Gravitation and Geometry" (W. Rindler and A. Trautman, eds.), a volume dedicated to Ivor Robinson, Napoli, Bibliopolis, 1986. | MR | Zbl
[43] . - The infinite regions of various geometries, Bull. Amer. Math. Soc., t. 20, 1914, p. 185-200. | MR | JFM | DOI
[44] . - Mathematische Analyse des Raumproblems, Anhang 1. - Berlin, Springer-Verlag, 1923. | JFM | MR | DOI
[45] . - The representation of a conformal space on a quadric, Ann. of Math., t. 37, 1936, p. 416-426. | JFM | MR | Zbl | DOI
[46] . - On conformal, flat spaces in the large, Ann. of Math., t. 50, 1949, p. 916-924. | Zbl | MR | DOI
[47] - The light cone at infinity, in "Proc. on theory of gravitation 1962" (L. Infeld, ed.), Paris and Warsaw, Gauthier-Villars and PWN, 1964.
[48] . - The closure of Minkowski space, Acta. Phys. Polon., t. 24, 1963, p. 295-6. | MR | Zbl
[49] . - A simple proof of the Robinson theorem, in : "Journées Relativistes 1983", Proc. of the conference, (S. Benenti et al., eds.), Bologna, Pitagora Editrice, 1985.
[50] and . - Uniformly accelerating charged mass in general relativity, Phys. Rev. D, t. 2, 1970, p. 1359-70. | MR | Zbl | DOI
[51] . - Recent progress in exact solutions, in : "General Relativity and Gravitation", Proc. of GR7, Tel-Aviv, June 1974 (G. Shaviv and J. Rosen, eds.), New York and Jerusalem, J. Wiley and Israel Univ. Press, 1975. | MR
[52] . - Lienard-Wiechert fields and general relativity, J. Math. Phys., t. 15, 1974, p. 44-45. | MR | DOI
[53] and . - Can poles change color ?, J. Math. Phys., t. 24, 1983, p. 1087-92. | MR | DOI
[54] and . - Spinors and space-time. - Cambridge, Cambridge University Press, Vol. I : 1984. | MR
and . - Spinors and space-time. - Cambridge, Cambridge University Press, Vol. II : 1985.
[55] and . - Twistor theory : an approach to the quantisation of fields and space-time, Phys. Reports C, t. 6, 1972, p. 241-316. | MR | DOI
[56] . - On the Robinson theorem and shearfree geodesic null congruences, Lett. Math. Phys., t. 10, 1985, p. 33-39. | MR | Zbl | DOI
[57] . - An example of a smooth linear partial differential equation without solution, Ann. of Math., t. 66, 1957, p. 155-158. | MR | Zbl | DOI
[58] and . - Integrable optical geometry, Lett. Math. Phys. (in print). | MR | Zbl
[59] and . - A generalization of Mariot's theorem on congruences of null geodesics, Proc. Roy. Soc. London, (in print). | MR | Zbl
[60] and . - Cauchy-Riemann structures in optical geometry, in : Proc. of the 4th Marcel Grossmann Meeting on General Relativity, Rome, June 17-21, 1985 (R. Ruffini, ed.), Amsterdam, North-Holland, (in print). | MR







