Model of linearized deviations in the quantum theory of gravity
Annales de l'I.H.P. Physique théorique, Volume 20 (1974) no. 1, p. 95-111
@article{AIHPA_1974__20_1_95_0,
     author = {Tarski, Jan},
     title = {Model of linearized deviations in the quantum theory of gravity},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {20},
     number = {1},
     year = {1974},
     pages = {95-111},
     mrnumber = {351383},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1974__20_1_95_0}
}
Tarski, Jan. Model of linearized deviations in the quantum theory of gravity. Annales de l'I.H.P. Physique théorique, Volume 20 (1974) no. 1, pp. 95-111. http://www.numdam.org/item/AIHPA_1974__20_1_95_0/

[1] B.S. Dewitt, Phys. Rev., t. 160, 1967, p. 1113. | Zbl 0158.46504

[2] B.S. Dewitt, Phys. Rev., t. 162, 1967, p. 1195 and p. 1239. | Zbl 0161.46501

[3] C.W. Misner, Phys. Rev. Letters, t. 22, 1967, p. 1071; Phys. Rev., t. 186, 1969, p.1319; and in Relativity, edited by M. Carmeli, S. Fickler and L. Witten, Plenum Press, New York, 1970, p. 55. | MR 343839

[4] J.R. Klauder, in Relativity (ref. 3), p. 1 ; J.R. Klauder and E.W. Aslaksen, Phys. Rev., 2D, 1970, p. 272. | MR 342126

[5] H. Leutwyler, Nuovo Cimento, t. 42, 1966, p. 159.

[6] Y. Nutku, unpublished (see K. Kuchar, J. Math. Phys., t. 13, 1972, p. 768, ref. 11).

[7] K. Kuchař, Phys. Rev., 4D, 1971, p. 955.

[8] K. Kuchař, J. Math. Phys., t. 11, 1970, p. 3322.

[9] H. Leutwyler, in Battelle rencontres, 1967, ed. by C. M. De Witt and J. A. Wheeler, W. A. Benjamin, Inc., New York, 1968, p. 309. | MR 232631

[10] A. Lichnerowicz, Publications mathématiques de l'Institut des Hautes Études Scientifiques n° 10, 1961. | Numdam | Zbl 0098.42607

[11] J.L. Synge, Relativity: the general theory (North-Holland Publ. Co., Amsterdam, 1964) especially, p. 256 ff, pp. 320-322. | MR 118457 | Zbl 0090.18504

[12] R.C. Tolman, Relativity, thermodynamics, and cosmology, Oxford University Press, Oxford, 1934, especially, p. 346 ff. | JFM 60.0757.06 | Zbl 0009.41304

[13] A. Lichnerowicz, Géométrie des groupes de transformations, Dunod, Paris, 1958. | MR 124009 | Zbl 0096.16001

[14] J.A. Wheeler, in Relativity, groups, and topology, ed. by C. Dewitt and B. Dewitt, Gordon and Breach, New York, 1964, especially, p. 354 ff. | MR 168328

[15] R. Arnowitt, S. Deser and C.W. Misner, in Gravitation: an introduction to current research, ed. by L. Witten (John Wiley and Sons, Inc., New York, 1962), chapter 7. | MR 143622

[16] C. Barbance, Compt. Rend. Acad. Sci. Paris, t. 258, 1964, p. 5336 and t. 264, 1967, p. 515 ; also Thèse, Paris, 1968, Chap. III. | MR 164305 | Zbl 0188.26802

[17] S. Deser, Ann. Inst. H. Poincaré, Sér. A., t. 7, 1967, p. 149. | Numdam | Zbl 0155.32801

[18] M. Berger and D. Ebin, J. Diff. Geom., t. 3, 1969, p. 379. | MR 266084 | Zbl 0194.53103

[19] J.W. York, Phys. Rev. Letters, t. 26, 1971, p. 1656 and t. 28, 1972, p. 1082; J. Math. Phys., t. 13, 1972, p. 123 and t. 14, 1973, p. 456. | MR 290765 | Zbl 0259.53014

[20] K. Maurin, Methods of Hilbert spaces, PWN, Warszawa, 1967, p. 401 ff, p. 270 ff. | MR 223910 | Zbl 0166.10203

[21] A. Lichnerowicz, private communication.

[22] A.E. Fisher and J.E. Marsden, J. Math. Phys., t. 13, 1972, p. 546. | Zbl 0233.58009

[23] J.E. Marsden, D.G. Ebin and A.E. Fisher, Proc. Canadian Math. Congress XIII, Halifax, 1971.

[24] M.M. Bakri, J. Math. Phys., t. 11, 1970, p. 2027.

[25] M. Castagnino, Ann. Inst. H. Poincaré, Sér. A, t. 13, 1970, p. 263. | Numdam | MR 275832

[26] Y. Choquet-Bruhat and S. Deser (preprint); D.R. Brill and S. Deser (preprint).

[27] J. Tarski, Ann. Inst. H. Poincaré, Sér. A, t. 11, 1969, p. 331; t. 17, 1972, p. 171; and t. 17, 1972, p. 313. | Numdam | Zbl 0254.28007

[28] S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962. | MR 145455 | Zbl 0111.18101

[29] K. Uhlenbeck, lecture notes SMR 11/28 from Summer college on global analysis and its applications (ICTP, Trieste, 1972).

[30] J.D. Talman, Special functions-a group-theoretic approach, W. A. Benjamin, Inc., New York, 1968, Chapter 10. | MR 239154 | Zbl 0197.04301