Spin and torsion in general relativity: I. Foundations

Friedrich W. Hehl1
1Institut für Theoretische Physik der Technischen Universitä Clausthal, Clausthal-Zellerfeld, W. Germany

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Tài liệu tham khảo

Anderson, J.L. (1967).Principles of Relativity Physics, (Academic Press, New York).

Belinfante, F.J. (1939).Physica,6, 887.

Bičák, J. (1966).Czech. J. Phys.,B16, 95.

Bilby, B.A. (1960).Progr. Solid Mech. (Amst.),1, 331.

Bilby, B.A., Bullough, R. and Smith, E. (1955).Proc. Roy. Soc.,A231, 263.

Börner, G. and Dürr, H.P. (1969).Nuovo Cimento,A64, 669.

Cap, F., Majerotto, W., Raab, W. and Unteregger, P. (1966).Fortschr. Phys.,14, 205.

Cartan, E. (1922).C.R. Acad. Sci. Paris,174, 593.

Cartan, E. (1923).Ann. Ec. Norm. Sup. (3),40, 325; (1924).Ann. Ec. Norm. Sup. (3),41, 1; (1925).Ann. Ec. Norm. Sup. (3),42, 17.

Clerc, R.-L. (1971).C.R. Acad. Sci. Paris,A272, 1145.

Clerc, R.-L. (1971).C.R. Acad. Sci. Paris,A272, 1760.

Clerc, R.-L. (1972).C.R. Acad. Sci. Paris,A274, 525.

Corson, E.M. (1953).Introduction to Tensors, Spinors, and Relativistic Wave-Equations, (Blackie, London).

Cosserat, E. et Cosserat, F. (1909).Théorie des corps déformables, (Hermann, Paris).

Costa de Beauregard, O. (1942).C.R. Acad. Sci. Paris,214, 904.

Costa de Beauregard, O. (1943).J. Math. Pures Appl.,22, 85.

Costa de Beauregard, O. (1963).Phys. Rev.,129, 466.

Datta, B.K. (1971).Nuovo Cimento,B3, 171.

Datta, B.K. (1971).Nuovo Cimento,B6, 1.

Datta, B.K. (1971).Nuovo Cimento,B6, 16.

Dürr, H.P. (1971).Nuovo Cimento,A4, 187.

Einstein, A. (1960).Grundzüge der Relativitätstheorie, (2nd edn.), (Vieweg, Braunschweig).

Finkelstein, R. (1960).J. Math. Phys.,1, 440.

Finkelstein, R. (1961).Ann. Phys. (N.Y.),12, 200.

Finkelstein, R. (1966).J. Math. Phys.,7, 1632.

Günther, W. (1958).Abh. Braunschweig. Wiss. Ges.,10, 195.

Hayashi, K. (1973).Gen. Rel. Grav.,4, 1.

Hehl, F. (1966).Abh. Brauschweig. Wiss. Ges.,18, 98.

Hehl, F. (1968). InMechanics of Generalized Continua (IUTAM-Symposium), (ed. Kröner, E.), (Springer, Berlin), see p. 347.

Hehl, F.W. (1970).Spin und Torsion in der allgemeinen Relativitätstheorie oder die Riemann-Cartansche Geometrie der Welt, (Habilitation thesis, Technische Universität Clausthal).

Hehl, F.W. (1971).Phys. Lett.,A36, 225.

Hehl, F. and Kröner, E. (1965).Z. Naturforsch.,20a, 236.

Hehl, F. and Kröner, E. (1965).Z. Phys.,187, 478.

Hehl, F.W. and Kröner, E. (1965).Z. Phys.,187, 478.

Hubert, D. (1915).Nachr. Ges. Wiss. Göttingen, math.-phys. Kl., p. 395.

Kibble, T.W.B. (1961).J. Math. Phys.,2, 212.

Kondo, K. (1952).Proceedings of the 2nd Japan National Congress for Applied Mechanics, p. 41.

Kondo, K. (ed.) (1955,58,62,68).RAAG Memoirs of The Unifying Study of Basic Problems in Engineering and Physical Sciences by Means of Geometry, Vols 1,2,3,4, (Gakujutsu Bunken FukyuKai, Tokyo).

Kröner, E. (1960).Arch. Rat. Mech. Anal.,4, 273.

Kröner, E. (1963).Int. J. Eng. Sci.,1, 261.

Kröner, E. (1963). Plastizität und Versetzungen, in Sommerfeld, A. (1963).Vorlesungen über theoretische Physik, Vol. 2, (5th edn.), (Akademische Verlagsgesellschaft, Leipzig), Chapter 9.

Kröner, E. (ed.) (1968).Mechanics of Generalized Continua (IUTAM-Symposium), (Springer, Berlin).

Kuchař, K. (1965).Acta Phys. Polon.,28, 695.

Landau, L.D. und Lifschitz, E.M. (1963).Feldtheorie, (Akademie-Verlag, Berlin), (translated from the Russian).

Lurçat, F. (1964).Physics,1, 95.

Minkowski, H. (1958). Raum und Zeit, in Lorentz, H.A. (1958).das Relativitätsprinzip, (6th edn.), (Wissenschaftliche Buchgesellschaft, Darmstadt), p. 54.

Moen, I.O. and Moffat, J.W. (1969).Phys. Rev.,179, 1233.

Moffat, J.W. (1968).Lectures in Theoretical High Energy Physics, (ed. Aly, H.H.), (Wiley, London and New York), p. 423.

Morgan, T.A. and Peres, A. (1962).Phys. Rev. Lett.,9, 79.

Muraskin, M. (1968).J. Math. Phys.,9, 2056.

Palatini, A. (1919).Rend. Circ. Matem. Palermo,43, 203.

Papapetrou, A. (1949).Phil. Mag. (7),40, 937.

Ponomariev, V.N. (1971).Bull. Acad. Polon. Sci., Sér. sci. math., astron. et phys.,19, 545.

Rodichev, V.I. (1961).Sov. Phys. JETP,13, 1029.

Rosenfeld, L. (1940).Mém. Acad. Roy. Belg., Cl. Sc.,18, fasc. 6.

Schouten, J.A. (1954).Ricci-Calculus, (2nd edn.), (Springer, Berlin).

Schrödinger, E. (1960).Space-Time Structure, (Cambridge University Press), (reprinted with corrections).

Sciama, D.W. (1962). InRecent Developments in General Relativity, (Pergamon Press, Oxford), p. 415.

Sciama, D.W. (1961).J. Math. Phys.,2, 472.

Sciama, D.W. (1964).Rev. Mod. Phys.,36, 463.

Smrz, P. (1970).Nuovo Cimento,B65, 147.

Thorne, K.S. and Will, C.M. (1971).Astrophys. J.,163, 595.

Tonnelat, M.-A. (1955).La théorie du champ unifié d'Einstein et quelques-uns de ses développements, (Gauthier-Villars, Paris).

Tonnelat, M.-A. (1965).Les théories unitaires de l'électromagnetisme et de la gravitation, (Gauthier-Villars, Paris).

Trautman, A. (1965). Lectures on General Relativity, inBrandeis Summer Institute in Theoretical Physics 1964, Vol. 2, (Prentice-Hall, Englewood Cliffs, New Jersey), p. 1.

Trautman, A. (1972).Gen. Rel. Grav.,3, 167.

Uhlenbeck, G.E. and Goudsmit, S. (1925).Naturwiss.,13, 953.

Uhlenbeck, G.E. and Goudsmit, S. (1926).Nature,117, 264.

Utiyama, R. (1956).Phys. Rev.,101, 1597.

Weyl, H. (1929).Z. Phys.,56, 330.

Weyl, H. (1950).Phys. Rev.,77, 699.

Durr, H.P. (1973).Gen. Rel. Grav.,4, 29.

Hehl, F.W. and von der Heyde, P. (1973/4).Ann. Inst. Henri Poincaré,19, No.2, (in press).

Kopczyński, W. (1972).Phys. Lett.,A39, 219. See also [75].

Trautman, A. (1972).On The Structure of The Einstein-Cartan Equations, (Preprint, Warsaw University), (based on a Report for the ‘Convegno di Relativita’, held in Rome).