On the interpretation of the redshift in a static gravitational field

American Journal of Physics

Volumn 68, Issue 2, 2000, Pages 115-119

  Okun, L B ^a   Selivanov, K G ^a   Telegdi, V L ^b  

^a INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

^b CERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034387856     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19382     Document Type: Article

References (51)

1. A. Einstein, "Über das Relativitätsprinzip und die aus demselben gezogenen Folgerungen," Jahrb. f. Radioaktivität u. Elektronik 4, 411-462 (1907); "Über den Einfluss der Schwerkraft auf die Ausbreitung des Lichtes," Ann. Phys. (Leipzig) 35, 898-908 (1911).
2. A. Einstein, "Über das Relativitätsprinzip und die aus demselben gezogenen Folgerungen," Jahrb. f. Radioaktivität u. Elektronik 4, 411-462 (1907); "Über den Einfluss der Schwerkraft auf die Ausbreitung des Lichtes," Ann. Phys. (Leipzig) 35, 898-908 (1911).
3. A. Einstein, "Die Grundlage der allgemeinen Relativitätstheorie," Ann. Phys. (Leipzig) 49, 769-822, (1916), See. 22; The Meaning of Relativity (Princeton U.P., New York, 1921), Eq. (106).
4. A. Einstein, "Die Grundlage der allgemeinen Relativitätstheorie," Ann. Phys. (Leipzig) 49, 769-822, (1916), See. 22; The Meaning of Relativity (Princeton U.P., New York, 1921), Eq. (106).
5. A. Pais, 'Subtle is the Lord...', The Science and the Life of Albert Einstein (Oxford U.P., Oxford, 1982), Chap. 9.
6. R. V. Pound and G. A. Rebka, "Apparent weight of photons," Phys. Rev. Lett. 4, 337-341 (1960); "Variation with temperature of the energy of recoil-free gamma rays from solids," 4, 274-275 (1960); "Gravitational redshift in nuclear resonance," 3, 439-441 (1959).
7. R. V. Pound and G. A. Rebka, "Apparent weight of photons," Phys. Rev. Lett. 4, 337-341 (1960); "Variation with temperature of the energy of recoil-free gamma rays from solids," 4, 274-275 (1960); "Gravitational redshift in nuclear resonance," 3, 439-441 (1959).
8. R. V. Pound and G. A. Rebka, "Apparent weight of photons," Phys. Rev. Lett. 4, 337-341 (1960); "Variation with temperature of the energy of recoil-free gamma rays from solids," 4, 274-275 (1960); "Gravitational redshift in nuclear resonance," 3, 439-441 (1959).
9. R. Pound, Usp. Fiz. Nauk 72, 673-683 (1960); "On the weight of photons," Sov. Phys. Usp. 3, 875-883 (1961) (English translation).
10. R. Pound, Usp. Fiz. Nauk 72, 673-683 (1960); "On the weight of photons," Sov. Phys. Usp. 3, 875-883 (1961) (English translation).
11. R. V. Pound and J. L. Snider, "Effect of gravity on gamma radiation," Phys. Rev. B 140, 788-803 (1965); "Effect of gravity on nuclear resonance," Phys. Rev. Lett. 13, 539-540 (1964).
12. R. V. Pound and J. L. Snider, "Effect of gravity on gamma radiation," Phys. Rev. B 140, 788-803 (1965); "Effect of gravity on nuclear resonance," Phys. Rev. Lett. 13, 539-540 (1964).
13. R. Vessot and M. Levine, "A test of the equivalence principle using a space-borne clock," Gen. Relativ. Gravit. 10, 181-204 (1979).
14. J. Haefele and R. Keating, "Around the world atomic clocks: Predicted relativistic gains," Science 177, 166-167 (1972); "Around the world relativistic clocks: Observed relativistic time gains," 177, 168-170 (1972).
15. J. Haefele and R. Keating, "Around the world atomic clocks: Predicted relativistic gains," Science 177, 166-167 (1972); "Around the world relativistic clocks: Observed relativistic time gains," 177, 168-170 (1972).
16. C. Alley et al., in Experimental Gravitation, Proceedings of the Conference at Pavia (September 1976), edited by B. Bertotti (Academic, New York, 1977).
17. C. Will, Theory and Experiment in Gravitational Physics (Cambridge U.P., Cambridge, 1981), Sec. 2.4; "The confrontation between general relativity and experiment: A 1992 upgrade," Int. J. Mod. Phys. D 1, 13-68 (1992); preprint WUGRAV-95-5, gr-qc/9504017 1995; I. Shapiro, Gravitazione Quanti e Relatività. Astrofisica e Cosmologia (Giunti Barbera, Florence, 1979), Sec. 3; N. Ashby and J. Spilker, The Global Positioning System, Theory and Applications, Vol. 1 (American Institute of Aeronautics and Astronautics, Washington, DC, 1995), Chap. 18; J. Taylor, Astronomical and Space Experiments to Test Relativity, in General Relativity and Gravitation (Cambridge U.P., Cambridge, 1987), p. 214.
18. C. Will, Theory and Experiment in Gravitational Physics (Cambridge U.P., Cambridge, 1981), Sec. 2.4; "The confrontation between general relativity and experiment: A 1992 upgrade," Int. J. Mod. Phys. D 1, 13-68 (1992); preprint WUGRAV-95-5, gr-qc/9504017 1995; I. Shapiro, Gravitazione Quanti e Relatività. Astrofisica e Cosmologia (Giunti Barbera, Florence, 1979), Sec. 3; N. Ashby and J. Spilker, The Global Positioning System, Theory and Applications, Vol. 1 (American Institute of Aeronautics and Astronautics, Washington, DC, 1995), Chap. 18; J. Taylor, Astronomical and Space Experiments to Test Relativity, in General Relativity and Gravitation (Cambridge U.P., Cambridge, 1987), p. 214.
19. C. Will, Theory and Experiment in Gravitational Physics (Cambridge U.P., Cambridge, 1981), Sec. 2.4; "The confrontation between general relativity and experiment: A 1992 upgrade," Int. J. Mod. Phys. D 1, 13-68 (1992); preprint WUGRAV-95-5, gr-qc/9504017 1995; I. Shapiro, Gravitazione Quanti e Relatività. Astrofisica e Cosmologia (Giunti Barbera, Florence, 1979), Sec. 3; N. Ashby and J. Spilker, The Global Positioning System, Theory and Applications, Vol. 1 (American Institute of Aeronautics and Astronautics, Washington, DC, 1995), Chap. 18; J. Taylor, Astronomical and Space Experiments to Test Relativity, in General Relativity and Gravitation (Cambridge U.P., Cambridge, 1987), p. 214.
20. C. Will, Theory and Experiment in Gravitational Physics (Cambridge U.P., Cambridge, 1981), Sec. 2.4; "The confrontation between general relativity and experiment: A 1992 upgrade," Int. J. Mod. Phys. D 1, 13-68 (1992); preprint WUGRAV-95-5, gr-qc/9504017 1995; I. Shapiro, Gravitazione Quanti e Relatività. Astrofisica e Cosmologia (Giunti Barbera, Florence, 1979), Sec. 3; N. Ashby and J. Spilker, The Global Positioning System, Theory and Applications, Vol. 1 (American Institute of Aeronautics and Astronautics, Washington, DC, 1995), Chap. 18; J. Taylor, Astronomical and Space Experiments to Test Relativity, in General Relativity and Gravitation (Cambridge U.P., Cambridge, 1987), p. 214.
21. C. Will, Theory and Experiment in Gravitational Physics (Cambridge U.P., Cambridge, 1981), Sec. 2.4; "The confrontation between general relativity and experiment: A 1992 upgrade," Int. J. Mod. Phys. D 1, 13-68 (1992); preprint WUGRAV-95-5, gr-qc/9504017 1995; I. Shapiro, Gravitazione Quanti e Relatività. Astrofisica e Cosmologia (Giunti Barbera, Florence, 1979), Sec. 3; N. Ashby and J. Spilker, The Global Positioning System, Theory and Applications, Vol. 1 (American Institute of Aeronautics and Astronautics, Washington, DC, 1995), Chap. 18; J. Taylor, Astronomical and Space Experiments to Test Relativity, in General Relativity and Gravitation (Cambridge U.P., Cambridge, 1987), p. 214.
22. C. Will, Theory and Experiment in Gravitational Physics (Cambridge U.P., Cambridge, 1981), Sec. 2.4; "The confrontation between general relativity and experiment: A 1992 upgrade," Int. J. Mod. Phys. D 1, 13-68 (1992); preprint WUGRAV-95-5, gr-qc/9504017 1995; I. Shapiro, Gravitazione Quanti e Relatività. Astrofisica e Cosmologia (Giunti Barbera, Florence, 1979), Sec. 3; N. Ashby and J. Spilker, The Global Positioning System, Theory and Applications, Vol. 1 (American Institute of Aeronautics and Astronautics, Washington, DC, 1995), Chap. 18; J. Taylor, Astronomical and Space Experiments to Test Relativity, in General Relativity and Gravitation (Cambridge U.P., Cambridge, 1987), p. 214.
23. W. Pauli, Theory of Relativity (Pergamon, Oxford, 1967), Sec. 53; C. Møller, The Theory of Relativity (Clarendon, Oxford, 1960), Secs. 92, 93; L. Landau and E. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962), Sec. 89; S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), pp. 79-85; P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer, Berlin, 1996), pp. 93-97; N. Straumann, General Relativity and Relativistic Astrophysics (Springer-Verlag, Berlin, 1984), pp. 96-99; I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton U.P., Princeton, 1995), pp. 97-108.
24. W. Pauli, Theory of Relativity (Pergamon, Oxford, 1967), Sec. 53; C. Møller, The Theory of Relativity (Clarendon, Oxford, 1960), Secs. 92, 93; L. Landau and E. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962), Sec. 89; S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), pp. 79-85; P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer, Berlin, 1996), pp. 93-97; N. Straumann, General Relativity and Relativistic Astrophysics (Springer-Verlag, Berlin, 1984), pp. 96-99; I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton U.P., Princeton, 1995), pp. 97-108.
25. W. Pauli, Theory of Relativity (Pergamon, Oxford, 1967), Sec. 53; C. Møller, The Theory of Relativity (Clarendon, Oxford, 1960), Secs. 92, 93; L. Landau and E. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962), Sec. 89; S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), pp. 79-85; P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer, Berlin, 1996), pp. 93-97; N. Straumann, General Relativity and Relativistic Astrophysics (Springer-Verlag, Berlin, 1984), pp. 96-99; I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton U.P., Princeton, 1995), pp. 97-108.
26. W. Pauli, Theory of Relativity (Pergamon, Oxford, 1967), Sec. 53; C. Møller, The Theory of Relativity (Clarendon, Oxford, 1960), Secs. 92, 93; L. Landau and E. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962), Sec. 89; S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), pp. 79-85; P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer, Berlin, 1996), pp. 93-97; N. Straumann, General Relativity and Relativistic Astrophysics (Springer-Verlag, Berlin, 1984), pp. 96-99; I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton U.P., Princeton, 1995), pp. 97-108.
27. W. Pauli, Theory of Relativity (Pergamon, Oxford, 1967), Sec. 53; C. Møller, The Theory of Relativity (Clarendon, Oxford, 1960), Secs. 92, 93; L. Landau and E. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962), Sec. 89; S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), pp. 79-85; P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer, Berlin, 1996), pp. 93-97; N. Straumann, General Relativity and Relativistic Astrophysics (Springer-Verlag, Berlin, 1984), pp. 96-99; I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton U.P., Princeton, 1995), pp. 97-108.
28. W. Pauli, Theory of Relativity (Pergamon, Oxford, 1967), Sec. 53; C. Møller, The Theory of Relativity (Clarendon, Oxford, 1960), Secs. 92, 93; L. Landau and E. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962), Sec. 89; S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), pp. 79-85; P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer, Berlin, 1996), pp. 93-97; N. Straumann, General Relativity and Relativistic Astrophysics (Springer-Verlag, Berlin, 1984), pp. 96-99; I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton U.P., Princeton, 1995), pp. 97-108.
29. W. Pauli, Theory of Relativity (Pergamon, Oxford, 1967), Sec. 53; C. Møller, The Theory of Relativity (Clarendon, Oxford, 1960), Secs. 92, 93; L. Landau and E. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962), Sec. 89; S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), pp. 79-85; P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer, Berlin, 1996), pp. 93-97; N. Straumann, General Relativity and Relativistic Astrophysics (Springer-Verlag, Berlin, 1984), pp. 96-99; I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton U.P., Princeton, 1995), pp. 97-108.
30. R. P. Feynman, Lectures on Gravitation, edited by Brian Hatfield (Addison-Wesley, Reading, MA, 1995), Sec. 5.2.
31. H. Weyl, Raum, Zeit, Materie (Verlag von Julius Springer, Berlin, 1923), 5te Auflage, p. 322; see also the seventh edition republished by J. Ehlers (Springer-Verlag, Berlin, 1988).
32. H. Weyl, Raum, Zeit, Materie (Verlag von Julius Springer, Berlin, 1923), 5te Auflage, p. 322; see also the seventh edition republished by J. Ehlers (Springer-Verlag, Berlin, 1988).
33. C. Misner, K. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Secs. 7.2-7.5, 25.3, 25.4, 38.5; R. W. Wald, General Relativity (University of Chicago Press, Chicago and London, 1984), p. 137; H. Stephani, General Relativity (Cambridge U.P., Cambridge, 1996), 2nd ed.; I. R. Kenyon, General Relativity (Oxford U.P., Oxford, 1996), pp. 15-21.
34. C. Misner, K. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Secs. 7.2-7.5, 25.3, 25.4, 38.5; R. W. Wald, General Relativity (University of Chicago Press, Chicago and London, 1984), p. 137; H. Stephani, General Relativity (Cambridge U.P., Cambridge, 1996), 2nd ed.; I. R. Kenyon, General Relativity (Oxford U.P., Oxford, 1996), pp. 15-21.
35. C. Misner, K. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Secs. 7.2-7.5, 25.3, 25.4, 38.5; R. W. Wald, General Relativity (University of Chicago Press, Chicago and London, 1984), p. 137; H. Stephani, General Relativity (Cambridge U.P., Cambridge, 1996), 2nd ed.; I. R. Kenyon, General Relativity (Oxford U.P., Oxford, 1996), pp. 15-21.
36. C. Misner, K. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Secs. 7.2-7.5, 25.3, 25.4, 38.5; R. W. Wald, General Relativity (University of Chicago Press, Chicago and London, 1984), p. 137; H. Stephani, General Relativity (Cambridge U.P., Cambridge, 1996), 2nd ed.; I. R. Kenyon, General Relativity (Oxford U.P., Oxford, 1996), pp. 15-21.
37. Max Born, Einstein's Theory of Relativity (Dover, New York, 1962), Chap. VII, Sec. 11; D. W. Sciama, The Physical Foundations of General Relativity (Doubleday, Garden City, NY, 1969), Chap. 5; Ya. B. Zeldovich and I. D. Novikov, Stars and Relativity, Relativistic Astrophysics Vol. 1 (University of Chicago Press, Chicago and London, 1971), pp. 89-93.
38. Max Born, Einstein's Theory of Relativity (Dover, New York, 1962), Chap. VII, Sec. 11; D. W. Sciama, The Physical Foundations of General Relativity (Doubleday, Garden City, NY, 1969), Chap. 5; Ya. B. Zeldovich and I. D. Novikov, Stars and Relativity, Relativistic Astrophysics Vol. 1 (University of Chicago Press, Chicago and London, 1971), pp. 89-93.
39. Max Born, Einstein's Theory of Relativity (Dover, New York, 1962), Chap. VII, Sec. 11; D. W. Sciama, The Physical Foundations of General Relativity (Doubleday, Garden City, NY, 1969), Chap. 5; Ya. B. Zeldovich and I. D. Novikov, Stars and Relativity, Relativistic Astrophysics Vol. 1 (University of Chicago Press, Chicago and London, 1971), pp. 89-93.
40. The New Encyclopaedia Britannica (Encyclopaedia Britannica, Inc., Chicago), 15th Ed., Vol. 20, p. 174; J. A. Wheeler, A Journey into Gravity and Spacetime (Scientific American Library, New York, 1990), pp. 48-53, 166-168; E. Taylor and J. A. Wheeler, Spacetime Physics (Freeman, New York, 1992), 3rd ed., pp. 258, 272; D. Layzer, Constructing the Universe (Scientific American Library, New York, 1984), Chap. 6, pp. 210-212.
41. The New Encyclopaedia Britannica (Encyclopaedia Britannica, Inc., Chicago), 15th Ed., Vol. 20, p. 174; J. A. Wheeler, A Journey into Gravity and Spacetime (Scientific American Library, New York, 1990), pp. 48-53, 166-168; E. Taylor and J. A. Wheeler, Spacetime Physics (Freeman, New York, 1992), 3rd ed., pp. 258, 272; D. Layzer, Constructing the Universe (Scientific American Library, New York, 1984), Chap. 6, pp. 210-212.
42. The New Encyclopaedia Britannica (Encyclopaedia Britannica, Inc., Chicago), 15th Ed., Vol. 20, p. 174; J. A. Wheeler, A Journey into Gravity and Spacetime (Scientific American Library, New York, 1990), pp. 48-53, 166-168; E. Taylor and J. A. Wheeler, Spacetime Physics (Freeman, New York, 1992), 3rd ed., pp. 258, 272; D. Layzer, Constructing the Universe (Scientific American Library, New York, 1984), Chap. 6, pp. 210-212.
43. The New Encyclopaedia Britannica (Encyclopaedia Britannica, Inc., Chicago), 15th Ed., Vol. 20, p. 174; J. A. Wheeler, A Journey into Gravity and Spacetime (Scientific American Library, New York, 1990), pp. 48-53, 166-168; E. Taylor and J. A. Wheeler, Spacetime Physics (Freeman, New York, 1992), 3rd ed., pp. 258, 272; D. Layzer, Constructing the Universe (Scientific American Library, New York, 1984), Chap. 6, pp. 210-212.
44. J. Schwinger, Einstein's Legacy (Scientific American Library, New York, 1986), pp. 141-153.
45. E. A. Desloge, "Nonequivalence of a uniformly accelerating reference frame and a frame at rest in a uniform gravitational field," Am. J. Phys. 57, 1121-1125 (1989); "The gravitational redshift in a uniform field," 58, 856-858 (1990).
46. E. A. Desloge, "Nonequivalence of a uniformly accelerating reference frame and a frame at rest in a uniform gravitational field," Am. J. Phys. 57, 1121-1125 (1989); "The gravitational redshift in a uniform field," 58, 856-858 (1990).
47. L. B. Okun, "The concept of mass," Phys. Today 42, 31-36 (June 1989); "Putting to rest mass misconceptions," 43, 13, 15, 115, 117 (May 1990); Usp. Fiz. Nauk 158, 511-530, (1989); "The concept of mass (mass, energy, relativity)," Sov. Phys. Usp. 32, 629-638 (1989); "Note on the meaning and terminology of special relativity," Eur. J. Phys. 15, 403-406 (1998).
48. L. B. Okun, "The concept of mass," Phys. Today 42, 31-36 (June 1989); "Putting to rest mass misconceptions," 43, 13, 15, 115, 117 (May 1990); Usp. Fiz. Nauk 158, 511-530, (1989); "The concept of mass (mass, energy, relativity)," Sov. Phys. Usp. 32, 629-638 (1989); "Note on the meaning and terminology of special relativity," Eur. J. Phys. 15, 403-406 (1998).
49. L. B. Okun, "The concept of mass," Phys. Today 42, 31-36 (June 1989); "Putting to rest mass misconceptions," 43, 13, 15, 115, 117 (May 1990); Usp. Fiz. Nauk 158, 511-530, (1989); "The concept of mass (mass, energy, relativity)," Sov. Phys. Usp. 32, 629-638 (1989); "Note on the meaning and terminology of special relativity," Eur. J. Phys. 15, 403-406 (1998).
50. L. B. Okun, "The concept of mass," Phys. Today 42, 31-36 (June 1989); "Putting to rest mass misconceptions," 43, 13, 15, 115, 117 (May 1990); Usp. Fiz. Nauk 158, 511-530, (1989); "The concept of mass (mass, energy, relativity)," Sov. Phys. Usp. 32, 629-638 (1989); "Note on the meaning and terminology of special relativity," Eur. J. Phys. 15, 403-406 (1998).
51. L. B. Okun, "The concept of mass," Phys. Today 42, 31-36 (June 1989); "Putting to rest mass misconceptions," 43, 13, 15, 115, 117 (May 1990); Usp. Fiz. Nauk 158, 511-530, (1989); "The concept of mass (mass, energy, relativity)," Sov. Phys. Usp. 32, 629-638 (1989); "Note on the meaning and terminology of special relativity," Eur. J. Phys. 15, 403-406 (1998).