Of pots and holes: Einstein's bumpy road to general relativity

Annalen der Physik (Leipzig)

Volumn 14, Issue SUPPL., 2005, Pages 58-85

  Janssen, Michel ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Einstein field equations; Equivalence principle; General covariance; Hole argument

Indexed keywords

ENERGY CONSERVATION; FUNCTIONS; LAGRANGE MULTIPLIERS;

EINSTEIN FIELD EQUATIONS; EQUIVALENCE PRINCIPLE; GENERAL COVARIANCE; HOLE ARGUMENT;

RELATIVITY;

EID: 25444488715     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/andp.200410130     Document Type: Article

References (105)

1. S. Abiko, Hist. Stud. Phys. Biol. Sci. 31, 1-35 (2000).
2. H. G. Alexander (ed.), The Leibniz-Clarke Correspondence (Manchester University Press, Manchester and New York, 1956).
3. J.B. Barbour and H. Pfister (eds.), Mach's Principle: from Newton's Bucket to Quantum Gravity (Einstein Studies, Vol.6) (Birkhäuser, Boston, 1995).
4. K. Brading, Stud. Hist. Phil. Mod. Phys. 33, 3-22 (2002).
5. J. Butterfield, Int. Stud. Phil. Sci. 2, 10-32 (1987).
6. F. Cajori, Sir Isaac Newton's Mathematical Principles of Natural Philosophy and his System of the World (University of California Press, Berkeley, Los Angeles, London, 1934).
7. I. B. Cohen and A. Whitman, Isaac Newton. The Principia. Mathematical Principles of Natural Philosophy. A New Translation (University of California Press, Berkeley, Los Angeles, London, 1999).
8. L. Corry, J. Renn, and J. Stachel, Science 278, 1270-1273 (1997).
9. CPAE 2, edited by J. Stachel, D.C. Cassidy, R. Schulmann, and J. Renn, The Collected Papers of Albert Einstein. Vol.2. The Swiss Years: Writings, 1900-1909 (Princeton University Press, Princeton, 1989).
10. CPAE 3, edited by M. J. Klein, A. J. Kox, J. Renn, and R. Schulmann, The Collected Papers of Albert Einstein. Vol. 3. The Swiss Years: Writings, 1909-1911 (Princeton University Press, Princeton, 1993).
11. CPAE 4, edited by M. J. Klein, A. J. Kox, J. Renn, and R. Schulmann, The Collected Papers of Albert Einstein. Vol. 4, The Swiss Years: Writings, 1912-1914 (Princeton University Press, Princeton, 1995).
12. CPAE 5, edited by M. J. Klein, A. J. Kox, and R. Schulmann, The Collected Papers of Albert Einstein. Vol. 5, The Swiss Years: Correspondence, 1902-1914 (Princeton University Press, Princeton, 1993).
13. CPAE 6, edited by A. J. Kox, M. J. Klein, and R. Schulmann, The Collected Papers of Albert Einstein. Vol. 6, The Berlin Years: Writings, 1914-1917. (Princeton University Press, Princeton, 1996).
14. CPAE 7, edited by M. Janssen, R. Schulmann, J. Illy, C. Lehner, and D. Kormos Buchwald, The Collected Papers of Albert Einstein. Vol. 7, The Berlin Years: Writings, 1918-1921 (Princeton University Press, Princeton, 2002).
15. CPAE 8, edited by R. Schulmann, A. J. Kox, M. Janssen, and J. Illy, The Collected Papers of Albert Einstein. Vol. 8, The Berlin Years: Correspondence, 1914-1918 (Princeton University Press, Princeton, 1998).
16. CPAE 9, edited by D. Kormos Buchwald, R. Schulmann, J. Illy, D. J. Kennefick, and T. Sauer, The Collected Papers of Albert Einstein. Vol. 9, The Berlin Years: Correspondence, January 1919-April 1920 (Princeton University Press, Princeton, 2004).
17. W. De Sitter, K. Ned. Akad. Wet., Wis- en Natuurkundige Afdeeling. Verslagen van de Gewone Vergaderingen 25, 499-504 (1916-17);
18. K. Ned. Akad. Wet. Sect. Sci. Proc. 19, 527-532 (1916-17).
19. W. De Sitter, K. Ned. Akad. Wet., Wis- en Natuurkundige Afdeeling. Verslagen van de Gewone Vergaderingen 25, 1268-1276 (1916-17);
20. K. Ned. Akad. Wet. Sect. Sci. Proc. 19, 1217-1225 (1916-17).
21. J. Dorling, Br. J. Phil. Sci. 29, 311-323 (1978).
22. J. Earman, World Enough and Space-Time, Absolute versus Relational Theories of Space and Time (The MIT Press, Cambridge, MA, 1989).
23. J. Earman and M. Janssen Einstein's Explanation of the Motion of Mercury's Perihelion, in: [22], pp. 129-172.
24. J. Earman, M. Janssen, and J. Norton (eds.), The Attraction of Gravitation: New Studies in the History of General Relativity (Einstein Studies, Vol. 5) (Birkhäuser, Boston, 1993).
25. J. Barman and J. Norton, Br. J. Phil. Sci. 38, 515-525 (1987).
26. A. Einstein, Jahrb. Radioaktivität Elektronik 4, 411-462 (1907). [9, Doc. 47].
27. A. Einstein, Ann. Phys. (Leipzig) 35, 898-908 (1911), reprinted in this volume (pp. 425-435); [10, Doc. 23]; reprinted in translation in [73], pp. 99-108.
28. A. Einstein, Ann. Phys. (Leipzig) 38, 355-369 (1912), reprinted in this volume (pp. 445-459); [11, Doc. 3].
29. A. Einstein, Ann. Phys. (Leipzig) 38, 443-458 (1912), reprinted in this volume (pp. 460-475); [11, Doc. 4].
30. A. Einstein, Phys. Z. 14, 1249-1262 (1913); [11, Doc. 17].
31. A. Einstein, Phys. Z. 15, 176-180 (1914); [11, Doc. 25].
32. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1914, pp. 1030-1085; [13, Doc. 9].
33. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1915, pp. 778-786; [13, Doc. 21].
34. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1915, pp. 799-801; [13, Doc. 22].
35. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1915, pp. 831-839; [13, Doc. 23].
36. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1915, pp. 844-847; [13, Doc. 25].
37. A. Einstein, Ann. Phys. (Leipzig) 49, 769-822 (1916), reprinted in this volume (pp. 518-571); [13, Doc. 30]; reprinted in translation in [73], pp. 111-164.
38. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1916, pp. 688-696; [13, Doc. 32].
39. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1916, pp. 1111-1116; [13, Doc. 41]; translation in [73], pp. 167-173.
40. A. Einstein, Über die spezielle und die allgemeine Relativitätstheorie. (Gemeinverständlich) (Vieweg, Braunschweig, 1917); reprinted in translation as [48].
41. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1917, pp. 142-152; [13, Doc. 43], reprinted in translation in [73], pp. 177-188.
42. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1918, pp. 154-167; [14, Doc. 1].
43. A. Einstein, Ann. Phys. (Leipzig) 55, 241-244 (1918), reprinted in this volume (pp. 578-581); [14, Doc. 4].
44. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1918, pp. 270-272; [14, Doc. 5].
45. A. Einstein, Sitz.ber., Kgl. Preuss. Akad. Wiss. (Berlin), 1918, pp. 448-459; [14, Doc. 9].
46. A. Einstein, Naturwissenschaften 6, 697-702 (1918); [14, Doc. 13].
47. A. Einstein, Äther und Relativitätstheorie (Springer, Berlin, 1920); reprinted in translation in [49], pp. 1-24.
48. A. Einstein, Vier Vorlesungen über Relativitätstheorie (Vieweg, Braunschweig, 1922) [14, Doc. 71]; reprinted in translation as [47].
49. A. Einstein, The Meaning of Relativity. 5th ed. (Princeton University Press, Princeton, 1956).
50. A. Einstein, Relativity. The Special and the General Theory. A Clear Explanation that Anyone Can Understand (Crown Publishers, New York, 1959).
51. A. Einstein, Sidelights on Relativity (Dover, New York, 1983).
52. A. Einstein and M. Grossmann, Entwurf einer verallgemeinerten Relativitätstheorie und einer Theorie der Gravitation (Teubner, Leipzig, 1913); [11, Doc. 13].
53. A. Einstein and M. Grossmann, Z. Math. Phys. 62, 225-259 (1914). Reprint of [50] with additional "Comments" ("Bemerkungen" [11, Doc. 26]).
54. A. Einstein and M. Grossmann, Z. Math. Phys. 63, 215-225 (1914); [13, Doc. 2].
55. J. Eisenstaedt and A. J. Kox (eds.), Studies in the History of General Relativity (Einstein Studies, Vol. 3) (Birkhäuser, Boston, 1992).
56. A. Fölsing, Albert Einstein. Eine Biographie (Suhrkamp, Frankfurt a.M., 1993);
57. Translation: Albert Einstein, A Biography (Viking, New York, 1997).
58. H. Goenner, J. Renn, J. Ritter, and T. Sauer (eds.), The Expanding Worlds of General Relativity (Einstein Studies, Vol. 7) (Boston, Birkhäuser, 1999).
59. J. Gray (ed.), The Symbolic Universe: Geometry and Physics 1890-1930 (Oxford University Press, Oxford, 1999).
60. D. Hilbert, Nachr. Kgl. Akad. Wiss. Goett., Math.-Phys. Kl. (Göttingen), 1915, pp. 395-107.
61. D. Howard, Point Coincidences and Pointer Coincidences: Einstein on the Invariant Content of Space-Time Theories, in: [55], pp. 463-500.
62. D. Howard, and J. Norton, Out of the Labyrinth? Einstein, Hertz, and the Göttingen Response to the Hole Argument, in: [22], pp. 30-62.
63. D. Howard, and J. Stachel (eds.) Einstein and the History of General Relativity (Einstein Studies, Vol. 1) (Birkhäuser, Boston, 1989).
64. N. Huggett (ed.), Space from Zeno to Einstein. Classic Readings with a Contemporary Commentary (The MIT Press, Cambridge, MA, 2000).
65. M. Janssen, Rotation as the Nemesis of Einstein's Entwurf Theory, in: [55], pp. 127-157.
66. M. Janssen, Perspect. Sci. 10, 457-522 (2002).
67. M. Janssen, Relativity, in: New Dictionary of the History of Ideas, edited by M. C. Horowitz et al. (Charles Scribner's Sons/Thomson Gale, New York, 2004).
68. M. Janssen, What Did Einstein Know and When Did He Know It? A Besso Memo Dated August 1913, in: [89].
69. M. Janssen and J. Renn, Untying the Knot: How Einstein Found His Way Back to Field Equations Discarded in the Zurich Notebook, in: [89].
70. M. Janssen, J. Renn, T. Sauer, J. Norton, and J. Stachel, A Commentary on Einstein's Zurich Notebook, in: [89].
71. A. J. Kox, Arch. Hist. Exact Sci. 38, 67-78 (1988); reprinted in: [60], pp. 201-212.
72. E. Kretschmann, Ann. Phys. (Leipzig) 48, 907-942 (1915).
73. E. Kretschmann, Ann. Phys. (Leipzig) 53, 575-614 (1917).
74. R. Laymon, J. Hist. Phil. 16, 399-113 (1978).
75. C. Lehner, Einstein and the Principle of General Relativity, 1916-1921, in: The Universe of General Relativity (Einstein Studies, vol. 11), edited by A. J. Kox and Jean Eisenstaedt (Birkhäuser, Boston, to appear).
76. H. Lorentz, A. Einstein, H. Minkowski, and H. Weyl, The Principle of Relativity (Dover, New York, 1952).
77. E. Mach, The Science of Mechanics: A Critical and Historical Account of Its Development (Open Court, Lasalle, Illinois, 1960).
78. E. Mach, Die Mechanik in ihrer Entwicklung historisch-kritisch dargestellt (Wissenschaftliche Buchgesellschaft, Darmstadt, 1988).
79. T. Maudlin, Stud. Hist. Phil. Mod. Phys. 21, 531-561 (1990).
80. G. Mie, Das Prinzip von der Relativität des Gravitationspotentials, in: Arbeiten aus den Gebieten der Physik, Mathematik, Chemie. Festschrift, Julius Elster und Hans Geitel zum sechzigsten Geburtstag gewidmet von Freunden und Schülern (Vieweg, Braunschweig, 1915), pp. 251-268.
81. G. Mie, Phys. Z. 18, 551-556, 574-580, 596-602 (1917).
82. H. Minkowski, Phys. Z. 20, 104-11 (1909); English translation in [73], pp. 75-91.
83. C.W. Misner, K. S. Thorne, and J.A. Wheeler, Gravitation (San Francisco, Freeman, 1973).
84. E. Noether, Nachr. Kgl. Akad. Wiss. Goett., Math.-Phys. Kl. (Göttingen), 1918, pp. 235-257.
85. J. Norton, Hist. Stud. Phys. Biol. Sci. 14, 253-316 (1984); reprinted in: [60], pp. 101-159.
86. J. Norton, Einstein, the Hole Argument and the Reality of Space, in: Measurement, Realism, and Objectivity, edited by J. Forge (Reidel, Dordrecht, 1987), pp. 153-188.
87. J. Norton, The Physical Content of General Covariance, in [53], pp. 281-315.
88. J. Norton, Rep. Prog. Phys. 56, 791-858 (1993).
89. J. Norton, Geometries in Collision: Einstein, Klein, and Riemann, in: [56], pp. 128-144.
90. J. Norton, Stud. Hist. Philos. Mod. Phys. 31, 135-170 (2000).
91. A. Pais, 'Subtle is the Lord ⋯' The Science and the Life of Albert Einstein (Oxford, Oxford University Press, 1982).
92. J. Renn (ed.), The Genesis of General Relativity, 4 Vols. (Kluwer, Dordrecht, to appear).
93. J. Renn and T. Sauer, Pathways out of Classical Physics: Einstein's Double Strategy in Searching for the Gravitational Field Equation, in: [89].
94. J. Renn, and J. Stachel, Hilbert's Foundation of Physics: From a Theory of Everything to a Constituent of General Relativity, Preprint 118, Max Planck Institute for the History of Science, Berlin. To appear in [89].
95. D. Rowe, The Göttingen Response to General Relativity and Emmy Noether's Theorems, in: [56], pp. 189-234.
96. R. Rynasiewicz, Kretschmann's Analysis of Covariance and Relativity Principles. in: [55], pp. 431-462.
97. T. Sauer, Arch. Hist. Exact Sci. 53, 529-575 (1999).
98. A. Sommerfeld, Vorlesungen über theoretische Physik. Vol. 3, Elektrodynamik (Akademische Verlagsgesellschaft Geest & Portig K.-G., Leipzig, 1949).
99. J. Stachel, The Rigidly Rotating Disk as the "Missing Link in the History of General Relativity." In: [60], pp. 48-62.
100. J. Stachel, Einstein's Search for General Covariance, 1912-1915, in: [60], pp. 62-100.
101. J. Stachel, The Meaning of General Covariance: the Hole Story, in: Philosophical Problems of the Internal and External World: Essays on the Philosophy of Adolf Grünbaum, edited by J. Earman, A.I. Janis, G.J. Massey, and N. Rescher (Universitätsverlag, Konstanz, 1993)/(University of Pittsburgh Press, Pittsburgh, 1993), pp. 129-160.
102. J. Stachel, The Relations between Things versus The Things between Relations: The Deeper Meaning of the Hole Argument, in: Reading Natural Philosophy. Essays in the History and Philosophy of Science and Mathematics, edited by D. B. Malament (Open Court, Chicago and La Salle, 2002), pp. 231-266.
103. J. Stachel, The Story of Newstein. Or: Is Gravity Just Another Pretty Force?, in: [89].
104. H. Thirring, Phys. Z. 19, 33-39 (1918).
105. J. Van Dongen, Einstein's Unification: General Relativity and the Quest for Mathematical Naturalness, Ph.D. Thesis, University of Amsterdam (2002).