The optical-mechanical analogy in general relativity: Exact Newtonian forms for the equations of motion of particles and photons

General Relativity and Gravitation

Volumn 28, Issue 4, 1996, Pages 413-439

  Evans, James ^a   Nandi, Kamal K ^b   Islam, Anwarul ^c  

^a UNIVERSITY OF PUGET SOUND   (United States)

^b UNIVERSITY OF NORTH BENGAL   (India)

^c Department of Mathematics   (Bangladesh)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030119994     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02105085     Document Type: Article

References (29)

1. Eddington, A.S. (1920). Space, Time and Gravitation (Cambridge Univ. Press, Cambridge).
2. Plebański, J. (1960). Phys. Rev. 118, 1396.
3. de Felice, F. (1971). Gen. Rel. Grav. 2, 347.
4. Wu X. and Xu C. (1988). Commun. Theor. Phys. (Beijing) 9, 119.
5. Evans, J., and Rosenquist, M. (1986). Amer. J. Phys. 54, 876.
6. Evans, J. (1990). Amer. J. Phys. 58, 773.
7. Nandi, K. and Islam, A. (1995). Amer. J. Phys. 63, 251.
8. Kovner, I. (1990). Astrophys. J. 351, 114.
9. Perlick, V. (1990). Class. Quant. Grav. 7, 1319.
10. Perlick, V. (1990). Class. Quant. Grav. 7, 1849.
11. Bel, Ll., and Martin, J. (1994). Gen. Rel. Grav. 26, 567.
12. Lanczos, C. (1986). The Variational Principles of Mechanics (4th ed., Dover, New York).
13. Weyl, H. (1917). Ann. Phys. (Leipzig) 54, 117.
14. Levi-Civita, T. (1917). Atti della Reale Accademia Dei Lincei, Ser. 5, Rendiconti, Class, di sc. fisiche, mat. e naturali 26, 458.
15. Levi-Civita, T. (1918). Nuovo Cimento 16, 105.
16. Straumann, N. (1984). General Relativity and Relativistic Astrophysics (Springer-Verlag, Berlin).
17. Atkinson, R. d'E. (1963). Proc. Roy. Soc. Lond. 272, 6.
18. Adler, R., Bazin, M., and Schiffer, M. (1965). Introduction to General Relativity (McGraw-Hill, New York).
19. Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973). Gravitation (W. H. Freeman, San Francisco).
20. Sjodin, T. (1990). In Physical Interpretations of Relativity Theory, M. C. Duffy, ed. (British Soc. Phil. Sc., London).
21. Bertotti, B. (1959). Phys. Rev. 116, 1331.
22. Halilsoy, M. (1993). Gen. Rel. Grav. 25, 275.
23. Halilsoy, M. (1993). Gen. Rel. Grav. 25, 975.
24. Soleng, H. H. (1994). Gen. Rel. Grav. 26, 149.
25. Dymnikova, I. (1992). Gen. Rel. Grav. 24, 235.
26. Goldman, I., Pérez-Mercader, J., Cooper, F., and Nieto, M. M. (1992). Phys. Lett. B281, 219.
27. Tolman, R. C. (1934). Relativity, Thermodynamics and Cosmology (Oxford University Press, Oxford).
28. Born, M., and Wolf, E. (1980). Principles of Optics (6th ed., Pergamon Press, Oxford).
29. Narlikar, J. V. (1994). Amer. J. Phys. 62, 903.