Slightly bimetric gravitation

General Relativity and Gravitation

Volumn 33, Issue 8, 2001, Pages 1319-1350

  Pitts, J Brian ^a   Schieve, W C ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Bimetric; Causality principle; Null cone; Unimodular

Indexed keywords

EID: 0035540272     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012005508094     Document Type: Article

References (127)

1. 1. Fierz, M. (1939). Helv. Phys. Acta 12, 3.
2. 2. Fierz, M., and Pauli, W. (1939). Proc. Roy. Soc. 173 A, 211.
3. 3. Rosen, N. (1940). Phys. Rev. 57, 147, 150; also 1963. Ann. Phys. (N.Y.) 22, 1.
4. 3. Rosen, N. (1940). Phys. Rev. 57, 147, 150; also 1963. Ann. Phys. (N.Y.) 22, 1.
5. 4. Weyl, H. (1944). Am. J. Math. 66, 591.
6. 5. Papapetrou, A. (1948). Proc. Roy. Irish Acad. 52A, 11.
7. 6. Gupta, S. (1954). Phys. Rev. 96, 1683.
8. 7. Kraichnan, R. (1955). Phys. Rev. 98 1118; also (1956). Phys. Rev. 101, 482.
9. 7. Kraichnan, R. (1955). Phys. Rev. 98 1118; also (1956). Phys. Rev. 101, 482.
10. 8. Gutman, I. I. (1960). Sov. Phys. J. E. T. P. 37, 1162.
11. 9. Burlankov, D. E. (1963). Sov. Phys. J. E. T. P. 17, 1306.
12. 10. Thirring, W. (1961). Ann. Phys. (N.Y.) 16, 96.
13. 11. Halpern, L. (1963). Bull. Cl. Sci. Acad. R. Belg., 5e serie, 49, 226.
14. 12. Halpern, L. (1963). Ann. Phys. (N.Y.) 25, 387.
15. 13. Feynman, R., Morinigo, F., Wagner, W., and Hatfield, B. (1995). Feynman Lectures on Gravitation, Addison-Wesley, Reading, Mass.
16. 14. Ogievetsky, V., and Polubarinov, I. (1965). Ann. Phys. (N.Y.) 35, 167.
17. 15. Weinberg, S. (1965). Phys. Rev. 138, B988.
18. 16. Sexl, R. U. (1967). Fortschr. Phys. 15, 269.
19. 17. Nachtmann, O., Schmidle, H., and Sexl, R. U. (1968). Acta Phys. Austr. 29, 289.
20. 18. Nachtmann, O., Schmidle, H. and Sexl, R. U. (1969). Commun. Math. Phys. 13, 254.
21. 19. Deser, S. (1970). Gen. Rel. Gravit. 1, 9.
22. 20. Weinberg, S. (1972). Gravitation and Cosmology, Wiley, New York.
23. 21. Weinberg, S., and Witten, E. (1980). Phys. Lett. B 96, 59.
24. 22. Penrose, R. in Quantum Structure of Space and Time: Proceedings of the Nuffield Workshop, Imperial College London, 3-21 August 1981, ed. M. J. Duff, C. J. Isham, Cambridge Univ., Cambridge (1981). Penrose reports Weinberg's moving away from his preference for the spin 2 view of general relativity, based on some impossibility theorems [22]. In recent personal communication with one of us (J.B.P.), Weinberg stated that he has no strong views on the subject anymore.
25. 23. van Nieuwenhuizen, P. (1973). Nucl. Phys. B 60, 478.
26. 24. Groenewold, H. J. (1974). Int. J. Theor. Phys. 9, 19.
27. 25. Boulware, D. G., and Deser, S. (1975). Ann. Phys. (N.Y.) 89, 193.
28. 26. Boulware, D. G., Deser, S., and Kay, J. H. (1979). Physica A 96, 141.
29. 27. Fang, J., and Fronsdal, C. (1979). J. Math. Phys. 20, 2264.
30. 28. Cavalleri, G., and Spinelli, G. (1980). Riv. Nuovo Cim. 3, 1.
31. 29. Logunov, A. A., and Mestvirishvili, M. A. (1991). Theor. Math. Phys., trans. of Teoreticheskaya i Matematicheskaya Fizika 86, 3.
32. 29. Logunov, A. A., and Mestvirishvili, M. A. (1991). Theor. Math. Phys., trans. of Teoreticheskaya i Matematicheskaya Fizika 86, 3.
33. 30. Fuchs, H., Kasper, U., Liebscher, D.-E., Müller, V., and Schmidt, H.-J. (1988). Fortschr. Phys. 36, 427.
34. 31. Gottlieb, I., and Ionescu-Pallas, N. (1990). Rev. Roum. Phys. 35, 25.
35. 32. Nikolić, H. (1999). Gen. Rel. Grav. 31, 1211.
36. 33. Nikishov, A. I. (2001). Phys. Part. Nucl. 32, 1-14; (2001). Fiz. Elem. Chast. Atom. Yadra 32, 5-30.
37. 33. Nikishov, A. I. (2001). Phys. Part. Nucl. 32, 1-14; (2001). Fiz. Elem. Chast. Atom. Yadra 32, 5-30.
38. 34. Straumann, N. Los Alamos Preprints, xxx.lanl.gov, astro-ph/0006423.
39. 35. Grishchuk, L. P., Petrov, A. N., and Popova, A. D. (1984). Commun. Math. Phys. 94, 379.
40. 36. Deser, S. (1987). Class. Quant. Grav. 4, L99.
41. 37. Fatibene, L., Ferraris, M., Francaviglia, M., and Raiteri, M. Los Alamos Preprints, xxx.lanl.gov, gr-qc/0003019.
42. 38. Babak, S., and Grishchuk, L. (2000). Phys. Rev. D 61, 024038.
43. 39. Zel'dovich, Ya. B., and Grishchuk, L. P. (1986). Sov. Phys. Usp. 29, 780.
44. 40. Hakim, R. (1999). An Introduction to Relativistic Gravitation, Cambridge Univ., Cambridge.
45. 41. Ohanian, H., and Ruffini, R. (1994). Gravitation and Spacetime, 2nd ed. Norton, New York.
46. 42. Wald, R. (1986). Phys. Rev. D 33, 3613.
47. 43. Heiderich, K. R., and Unruh, W. G. (1988). Phys. Rev. D 38, 490; also (1990). Phys. Rev. D 42, 2057.
48. 43. Heiderich, K. R., and Unruh, W. G. (1988). Phys. Rev. D 38, 490; also (1990). Phys. Rev. D 42, 2057.
49. 44. Wald, R. (1984). General Relativity. Univ. Chicago, Chicago.
50. 45. Adler, R., Bazin, M., and Schiffer, M. (1965). Introduction to General Relativity. McGraw-Hill, New York.
51. 46. Stephani, H. (1990). General Relativity, 2nd ed. Cambridge Univ., Cambridge.
52. 47. Pauli, W. (1958). Theory of Relativity, trans. G. Field. Pergamon, New York.
53. 48. Møller, C. (1961). Mat. Fys. Skr. Dan. Vid. Selsk. 1, 1.
54. 49. Møller, C. in Evidence for Gravitational Theories: Proceedings of the International School of Physics "Enrico Fermi," course XX, Varenna on Lake Como, Villa Monastero, June 19-July 1, 1961, ed. C. Møller, Academic, New York (1963).
55. 50. Møller, C. (1964). In Proceedings on Theory of Gravitation: Conference in Warszawa and Jablonna, 25-31 July, 1962, ed. L. Infeld, Gauthier-Villars, Paris.
56. 51. Møller, C. (1966). Mat. Fys. Medd. Dan. Vid. Selsk. 35, no. 3.
57. 52. Rosen, N. (1985). Found. Phys. 15, 997.
58. 53. Anderson, J. L. (1967). Principles of Relativity Physics. Academic, New York.
59. 54. Rosen, N. (1964). In Proceedings on Theory of Gravitation: Conference in Warszawa and Jablonna, 25-31 July, 1962, ed. L. Infeld, Gauthier-Villars, Paris.
60. 55. Hehl, F. H. (1976). Rep. Math. Phys. 9, 55.
61. 56. Hehl, F. W., and Kerlick, G. D. (1978). Gen. Rel. Grav. 9, 691.
62. 57. Ray, J. B. (1975). Il Nuovo Cimento B 25, 706.
63. 58. Lindström, U. (1988). Int. J. Mod. Phys. A 3, 2401.
64. 59. Israel, W. (1979). Differential Forms in General Relativity, 2nd ed. Dublin Institute for Advanced Studies, Dublin.
65. 60. Fock, V. A. (1959). The Theory of Space, Time and Gravitation, trans. N. Kemmer. Pergamon, New York.
66. 61. Kuchař, K. V., and Torre, C. G. (1991). Phys. Rev. D 44, 3116.
67. 62. Anderson, A., and York, J. W., Jr. (1998). Phys. Rev. Lett. 81, 1154.
68. 63. York, J. W., Jr. Binary Black Hole Grand Challenge Meeting, Center for Relativity, The University of Texas at Austin, November 1998.
69. 64. Landau, L. D., and Lifshitz, E. M. (1975). The Classical Theory of Fields, 4th rev. English ed., trans. M, Hamermesh. Pergamon, Oxford.
70. 65. Katz, J., and Ori, A. (1990). Class. Quant. Grav. 7, 787.
71. 66. Santiago, D. I., and Silbergleit, A. S. (2000). Gen. Rel. Grav. 32, 565.
72. 67. Grishchuk, L. P. (1988). Sov. Phys. Usp. 33, 669.
73. 68. Rosen, N. (1980). In Cosmology and Gravitation - Spin, Rotation, Torsion, Rotation, and Supergravity, 1979, Erice, ed. P. G. Bergmann and V. De Sabbata, Plenum, New York.
74. 69. Buchmüller, W., and Dragon, N. (1989). Phys. Lett. B 223, 313.
75. 70. Dragon, N., and Kreuzer, M. (1988). Zeit. Phys. C 41, 485.
76. 71. Boulware, D., and Deser, S. (1972). Phys. Rev. D 6, 3368.
77. 72. Visser, M. (1998). Gen. Rel. Grav. 30, 1717.
78. 73. Freund, P. G. O., and Nambu, Y. (1968). Phys. Rev. 174, 1741.
79. 74. Deser, S., and Halpern, L. (1970). Gen. Rel. Grav. 1, 131.
80. 75. van der Bij, J. J., and van Dam, H. (1982). Physica A 116, 307.
81. 76. Unruh, W. G. (1989). Phys. Rev. D 40, 1048.
82. 77. Henneaux, M., and Teitelboim, C. (1989). Phys. Lett. B 222, 195.
83. 78. Buchmüller, W., and Dragon, N. (1988). Phys. Lett. B 207, 292.
84. 79. Daughton, A., Louko, J., and Sorkin, R. (1998). Phys. Rev. D 58, 084008.
85. 80. Lee, D. L., Lightman, A. P., and Ni, W.-T. (1974). Phys. Rev. D 10, 1685.
86. 81. Rosen, N. (1974). Ann. Phys. (N.Y.) 84, 455.
87. 82. Will, C. (1993). Theory and Experiment in Gravitational Physics, rev. ed. Cambridge Univ., Cambridge.
88. 83. Lohiya, D., and Sethi, M. (1999). Class. Quant. Grav. 16, 1545.
89. 84. Fabris, J. C., Pinto-Neto, N., and Velasco, A. F. (1999). Class. Quant. Grav. 16, 3807.
90. 85. Bartolo, N., and Pietroni, M. (2000). Phys. Rev. D 61, 023518.
91. 86. Kaloper, N., and Olive, K. A. (1998). Phys. Rev. D 57, 811.
92. 87. Ng, Y. J., and van Dam, H. Los Alamos Preprints, xxx.lanl.gov, hep-th/9911102, (2001). Int. J. Mod. Phys. D 10, 49.
93. 88. Avakian, R. M., and Grigorian, L. Sh. (1988). Astrophys. Space Sci. 146, 183.
94. 89. Thorne, K. S., Lee, D. L., and Lightman, A. P. (1973). Phys. Rev. D 7, 3563.
95. 90. Fucito, F. Los Alamos Preprints, xxx.lanl.gov, gr-qc/0005089; presented at the 2nd SIGRAV school on gravity, Como, Italy.
96. 91. Venziano, G. Los Alamos Preprints, xxx.lanl.gov, hep-th/0002094. Based on lectures delivered in Les Houches, July 1999.
97. 92. Matos, T., Guzmán, F., and Ureńa-López, L. (2000). Class. Quant. Grav. 17, 1707.
98. 93. Peebles, P. J. E., and Vilenkin, A. (1999). Phys. Rev. D 60, 103506.
99. 94. Weinberg, S. (1989). Rev. Mod. Phys. 61, 1.
100. 95. Freund, P. G. O., Maheshwari, A., and Schonberg, E. (1969). Astrophys. J. 157, 857.
101. 96. Guendelman, E. I., and Kaganovich, A. B. (1999). Phys. Rev. D 60, 065004.
102. 97. Grishchuk, L. P., and Petrov, A. N. (1986). Sov. Astron. Lett. 12, 179; transl. of Pis'ma. Astron. Zh. 12, 439.
103. 97. Grishchuk, L. P., and Petrov, A. N. (1986). Sov. Astron. Lett. 12, 179; transl. of Pis'ma. Astron. Zh. 12, 439.
104. 98. Zel'dovich, Ya. B., and Grishchuk, L. P. (1988). Sov. Phys. Usp. 31, 666.
105. 99. Vlasov, A. A. (1988). Moscow Uni. Phys. Bull. 43, 72, transl. of Vestnik Moskovskogo Universiteta, Fizika.
106. 100. Misner, C., Thorne, K., and Wheeler, J. (1973). Gravitation. Freeman, New York.
107. 101. Anderson, J. L. (1999). Los Alamos Preprints, xxx.lanl.gov, gr-qc/9912051.
108. 102. Nester, J. M. (1989). Int. J. Mod. Phys. A 4, 1755.
109. 103. Nester, J. M., Tung, R.-S., and Zhang, Y. Z. (1994). Class. Quantum Grav. 11, 757.
110. 104. Ogievetskiǐ, V. I., and Polubarinov, I. V. (1965). Sov. Phys. J. E. T. P. 21, 1093, transl. of (1965). 48, 1625.
111. 104. Ogievetskiǐ, V. I., and Polubarinov, I. V. (1965). Sov. Phys. J. E. T. P. 21, 1093, transl. of (1965). 48, 1625.
112. 105. Davis, W. R. (1970). Classical Field, Particles, and the Theory of Relativity. Gordon and Breach, New York.
113. 106. Visser, M. (1995). Lorentzian Wormholes: from Einstein to Hawking. American Institute of Physics, Woodbury, N.Y.
114. 107. Deser, S., and Isham, C. J. (1976). Phys. Rev. D 14, 2505.
115. 108. Charap, J. M. (1987). Class. Quant. Grav. 4, 247.
116. 109. Penrose, R. (1980). In Essays in General Relativity - A Festschrift for Abraham Taub, ed. F. J. Tipler, Academic, New York.
117. 110. Bičák, J. (2000). In Einstein Field Equations and Their Physical Implications-Selected essays in honour of J. Ehlers, ed. B. G. Schmidt, Springer, Berlin. Los Alamos Preprints, xxx.lanl.gov, gr-qc/0004016.
118. 111. Burlankov, D. E. (1989). Sov. J. Nucl. Phys. 50, 174, trans. Yadernaya Fizika (1989). 50, 278.
119. 111. Burlankov, D. E. (1989). Sov. J. Nucl. Phys. 50, 174, trans. Yadernaya Fizika (1989). 50, 278.
120. 112. Chugreev, Yu. V. (1991). Theor. Math. Phys., trans. Teoreticheskaya i Matematicheskaya Fizika 88, 459.
121. 112. Chugreev, Yu. V. (1991). Theor. Math. Phys., trans. Teoreticheskaya i Matematicheskaya Fizika 88, 459.
122. 113. Pinson, K. H. E. (1991). Theor. Math. Phys., trans. Teoreticheskaya i Matematicheskaya Fizika 89, 317.
123. 113. Pinson, K. H. E. (1991). Theor. Math. Phys., trans. Teoreticheskaya i Matematicheskaya Fizika 89, 317.
124. 114. van Nieuwenhuizen, P. (1977). In Proceedings of the First Marcel Grossmann Meeting on General Relativity, 1975, Trieste, ed. R. Ruffini, North Holland, Amsterdam.
125. 115. Rovelli, C. Los Alamos Preprints, xxx.lanl.gov, gr-qc/0006061; presented at the 9th Marcel Grossmann Meeting in Rome, July 2000 of quantum gravity.
126. 116. Goldstein, H. (1980). Classical Mechanics, 2nd ed. Addison-Wesley, Reading, Mass.
127. 117. Goldberg, J. N., and Klotz, F. S. (1973). Int. J. Theor. Phys. 7, 31, (1992), 757.