General relativistic dynamics: Extending Einstein’s legacy throughout the universe

General Relativistic Dynamics: Extending Einstein's Legacy Throughout the Universe

Volumn , Issue , 2009, Pages 1-232

  Cooperstock, Fred I ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

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EID: 84967647232     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/7243     Document Type: Book

References (132)

1. T. Paine, The Rights of Man, Penguin Classics, 1984.
2. A. Einstein, The Meaning of Relativity, Princeton University Press, 1923.
3. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields Fourth revised English edition, Pergamon Press, Oxford, 1975.
4. H. Bondi in Lectures on General Relativity, Brandeis Summer Institute in Theoretical Physics, eds. S. Deser and K.W. Ford, Vol.1, Prentice-Hall, New Jersey, 1965.
5. F. I. Cooperstock and R. S. Sarracino, Nature264, 529, 1976.
6. R. P. Feynman, R. B. Leighton and M. Sands, The Feynman Lectures on Physics, Addison-Wesley, Reading, Mass., 1964.
7. H. Goldstein, Classical Mechanics, second edition, Addison-Wesley, Reading, Mass., 1980.
8. B. Spain, Tensor Calculus, Oliver and Boyd, Edinburgh, 1960.
9. J. D. Jackson, Classical Electrodynamics, John Wiley and Sons, New York, 1962.
10. J. Weber, General Relativity and Gravitational Waves, Interscience Publishers Inc., New York, 1961.
11. R. Adler, M. Bazin and M. Schiffer, Introduction to General Relativity, McGraw-Hill, New York, 1965.
12. A. Einstein and N. Rosen, Phys. Rev.48, 73, 1935.
13. F. I. Cooperstock and G. J. G. Junevicus, Nuovo Cimento16B, 387, 1973.
14. J. L. Synge, Proc. Roy. Irish Acad.A53, 83, 1950.
15. N. Rosen, in Relativity, Proceedings of the Relativity Conference in the Midwest, eds. M Carmeli, S. I. Fickler and L. Witten, Plenum Press, New York, 1970.
16. F. I. Cooperstock, S. Jhingan, P. S. Joshi and T. P. Singh, Class. Quantum Grav.14, 2195, 1997.
17. J. L. Synge, Relativity: The General Theory, North-Holland, Amsterdam, 1966.
18. I. I. Shapiro, Phys. Rev. Lett.13, 789, 1964;
19. I. I. Shapiro, Phys. Rev. Lett. 26, 1132, 1972.
20. A. Papapetrou, Proc. R. Soc. London A.209, 248, 1951.
21. J. M. Overduin in Y. Nambu, ed., Proceedings of JGRG17, the 17th Workshop on General Relativity and Gravitation in Japan (Nagoya, 3-7 December 2007). A more convenient reference for the non-expert, by J. M. Overduin is http://einstein.stanford.edu/SPACETIME/space-time-index.html, “Spacetime: from the Greeks to Gravity Probe B”.
22. W. B. Bonnor, Br. J. Appl. Phys.14, 555, 1963.
23. F. I. Cooperstock and D. W. Hobill, Gen. Rel. Grav.14, 361, 1982.
24. F. I. Cooperstock, Ann. Phys. N.Y.282, 115, 2000;
25. F. I. Cooperstock and S. Tieu, Found. Phys.33, 1033, 2003.
26. J. M. Nester, Phys. Rev. Lett.83, 1897, 1999.
27. J. M. Aguirregabiria, A. Chamorro and K. S. Virbhadra, Gen. Rel. Grav.28, 1393, 1996.
28. N. Nissani and E. Leibovitz, Phys. Lett. A126, 447, 1988.
29. M. J. Dupre, preprint, 2008.
30. W. B. Bonnor, Commun. Math. Phys.51, 191, 1976.
31. M. Gurses and F. Gursey, J. Math. Phys.16, 2385, 1975.
32. F. I. Cooperstock, Ann. Phys. N.Y.47, 173, 1968.
33. H. Bondi, M. G. J. van der Burg and and A. W. K. Metzner, Proc. Roy. Soc.A269, 21, 1962.
34. J. Madore, Ann. Inst. Henri Poincare’12, 365, 1970.
35. F. I. Cooperstock and D. W. Hobill, Phys. Rev.20, 2995, 1979.
36. A. Papapetrou, Ann. Phys.(Leipzig), 20, 399, 1957;
37. A. Papapetrou, Ann. Phys.(Leipzig)1, 185, 1958.
38. L. Bel in Relativistic Astrophysics and Cosmology, eds. J. Buitrago et al, World Scientific, Singapore, 1997.
39. F. I. Cooperstock and V. Faraoni, Class. Quantum Grav.10, 1189, 1993.
40. N. Rosen, Phys. Rev.55, 94, 1939.
41. F. I. Cooperstock and N. Rosen, Int. J. Theor. Phys.28, 423, 1989;
42. F. I. Cooperstock, Developments in General Relativity, Astrophysics and Quantum Theory eds. F. I. Cooperstock, L. P. Horwitz and J. Rosen, IOP Publishing Ltd, Bristol, England, 1990.
43. C. S. Bohun and F. I. Cooperstock, Phys. Rev.60, 4291, 1999.
44. F. I. Cooperstock and V. Faraoni, Mod. Phys. Lett. A18, 1037, 2003;
45. F. I. Cooperstock and V. Faraoni, Int. J. Mod. Phys.12, 1657, 2003.
46. E. T. Newman et al., J. Math. Phys.6, 918, 1965.
47. J. K. Webb et al., Phys. Rev. Lett.82, 884, 1999.
48. M. T. Murphy et al., Mon. Not. R. Ast. Soc.327, 1208, 2001.
49. P. C. W. Davies, T. M. Davis and C. H. Lineweaver, Nature418, 602, 2002;
50. S. Carlip, Phys. Rev. D67, 023507, 2003;
51. M. J. Duff, hep-th/0208093;
52. S. Carlip and S. Vaidya, hep-th/0209249;
53. M. Fairbarn and M. H. G. Tytgat, hep-th/0212105;
54. S. Das and G. Kunstatter, hep-th/02012334.
55. J. W. Moffat, Int. J. Mod. Phys. D2, 351, 1993.
56. A. Peres, quant-ph/0209114.
57. E. R. Harrison, Nature204, 271, 1964.
58. P. S. Wesson, K. Valle and R. Stabell, Astrophys. J.317, 601, 1987.
59. J. M. Overduin, The Universe Seen Darkly, Space Sci. Reviews, to appear, 2008.
60. H. Kragh, Conceptions of Cosmos, Oxford University Press, 2008.
61. J. M. Overduin and F. I. Cooperstock, Phys. Rev. D58, 506, 1998.
62. S. P. Starkovich and F. I. Cooperstock, Astrophys. J.398, 1, 1992.
63. S. S. Bayin, F. I. Cooperstock and V. Faraoni, Astrophys. J. 428, 439, 1994.
64. M. Israelit and N. Rosen, Astrophys. J.342, 627, 1989.
65. D. Wiltshire, Phys. Rev. Lett.99, 251101, 2007.
66. T. Padmanabhan, arXiv/08072356.
67. M. Milgrom, Astrophys. J.270, 365, 1983.
68. M. Milgrom and J. D. Bekenstein, Astrophys. J.286, 7, 1984.
69. J. D. Bekenstein, Developments in General Relativity, Astrophysics and Quantum TheoryEds. F. I. Cooperstock, L. P. Horwitz and J. Rosen, IOP Publishing Ltd, Bristol, England, 1990.
70. L. Clewley et al, astro-ph/0310675;
71. M. Wilkinson and N. Evans, Mon. Not. R. Ast. Soc.310, 645, 1999.
72. J. R. Brownstein and J. W. Moffat, astro-ph/0506370.
73. A. S. Eddington, Proc. Roy. Soc. A 102, 268, 1922;
74. A. S. Eddington, The Mathematical Theory of Relativity, Cambridge Univ. Press, Cambridge, U.K., 1923.
75. F. I. Cooperstock and S. Tieu, astro-ph/0507619.
76. F. I. Cooperstock and S. Tieu, astro-ph/0512048.
77. F. I. Cooperstock and S. Tieu, Mod. Phys. Lett. A.21, 2133, 2006.
78. F. I. Cooperstock and S. Tieu, Int. J. Mod. Phys. A22, 2293, 2007.
79. W. B. Bonnor, J. Phys. A: Math. Gen.10, 1673, 1977.
80. W. J. van Stockum, Proc. R. Soc. Edin.57, 135, 1937.
81. J. M. Bardeen, Astrophys. J.162, 71, 1970.
82. A. Ashtekar and A. Magnon, J. Math. Phys.16, 341, 1975.
83. J. Winicour, J. Math. Phys.16, 1805, 1975.
84. J. C. N. de Araujo and A. Wang, Gen. Rel. Grav.32, 1971, 2000.
85. L. B. Ford, Differential EquationsMcGraw-Hill, New York, 1955.
86. L. Mestel, Mon. Not. R. Astron. Soc.126, 553, 1963.
87. S. M. Kent, Astron. J.93, 816, 1987.
88. F. Fraternali et al, astro-ph/0410375.
89. G. Battaglia et al, Mon. Not. R. Ast. Soc.364, 433, 2005.
90. G. Heald, PhD Thesis, University of New Mexico, 2006.
91. F. I. Cooperstock and S. Tieu, Mod. Phys. Lett. A.23, 1745, 2008.
92. J. P. Hughes, astro-ph/9709272
93. J. R. Primack, astro-ph/0312549.
94. R. Massey et al, Nature445, 286, 2007.
95. A. Mahdavi et al, astro-ph/07063048.
96. J. M. Overduin and P. S. Wesson, Dark Sky, Dark Matter, Institute of Physics Press, Bristol, UK, 2003.
97. I. Ozsvath and E. Schucking, Am. J. Phys.71, 801, 2003.
98. W. Kundt, Zeit. fur Physik145, 611, 1956.
99. S. Chandrasekhar and J. P. Wright, Proc. Natl. Acad. Sci. U.S.A.47, 341, 1961.
100. H. Stein, Philos. Sci.37, 589, 1970.
101. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Spacetime, Cambridge University Press, Cambridge, 1973.
102. M. Visser, Lorentzian Wormholes, AIP Press, New York, 1995.
103. F. J. Tipler, Phys. Rev. D9, 2203, 1974.
104. J. R. Gott, Phys. Rev. Lett.66, 1126, 1991.
105. W. B. Bonnor, Int. J. Mod. Phys. D12, 1705, 2003.
106. J. L. Synge, Relativity: The Special Theory, John Wiley and Sons, New York, 1964.
107. K. Godel, Mod. Phys.21, 447, 1949.
108. W. B. Bonnor and B. R. Steadman, Gen. Rel. Grav.37, 1833, 2005.
109. F. I. Cooperstock and S. Tieu, Found. Phys.35, 1497, 2005.
110. L. Smolin, The Trouble With Physics, Houghton Mifflin Co., Boston, 2006.
111. H. Bondi, F. A. E. Pirani and I. Robinson, Proc. Roy. Soc. A. 251, 519, 1959.
112. S. Weinberg, Dreams of a Final Theory, Pantheon Books, New York, 1992.
113. M. Korzynski, astro-ph/0508377.
114. D. Vogt and P. S. Letelier, astro-ph/0510750.
115. D. Vogt and P. S. Letelier, astro-ph/0611428.
116. D. Garfinkle, Class. Quant. Grav.23, 1391, 2006.
117. M. D. Maia, A. J. S. Capistrano and D. Muller, astro-ph/0605688.
118. D. J. Cross, astro-ph/0601191.
119. F. I. Cooperstock, V. Faraoni and G. P. Perry, Int. J. Mod. Phys. D5, 375, 1996.
120. G. P. Perry and F. I. Cooperstock, Class. Quantum Grav.16, 1889, 1999.
121. H. Balasin and D. Grumiller, astro-ph/0602519.
122. D. L. Wiltshire, New J. Phys.9, 377, 2007.
123. L. Bratek, J. Jalocha and M. Kutschera, astro-ph/0603791.
124. B. Fuchs and S. Phelps, New Astron.11, 608, 2006.
125. J. Holmberg and C. Flynn, Not. R. Ast. Soc.313, 209, 2000.
126. V. Kostov, astro-ph/0604395.
127. D. Menzies and G. J. Mathews, gr-qc/0604092.
128. F. I. Cooperstock and S. Tieu, (22nd Pacific Coast Gravity Meeting, KITP, Santa Barbara, California, 2006).
129. D. Menzies and G. J. Mathews, astro-ph/0701019.
130. T. Zingg, A. Aste and D. Trautmann, astro-ph/0608299.
131. L. Lusanna, gr-qc/0604120.
132. K. L. Knickerbocker, Editor, The Selected Poetry of Robert Browning, Random House, Modern Library College Editions, 1951.