Sagnac effect of Gödel's Universe

General Relativity and Gravitation

Volumn 36, Issue 10 SPEC.ISS., 2004, Pages 2289-2316

  Kajari, E ^a   Walser, R ^a   Schleich, W P ^a   Delgado, A ^b  

^a UNIVERSITY OF ULM   (Germany)

^b UNIVERSITY OF CONCEPCIÓN   (Chile)

Author keywords

G del universe; rotating coordinate system; Sagnac effect

Indexed keywords

EID: 10344266518     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:GERG.0000046184.03333.9f     Document Type: Article

References (59)

1. Amir, A. (2003). Pendulum: Leon Foucault and the Triumph of Science, Pocket Books, New York.
2. Sagnac, G. (1913). C. R. Acad. Sci., Paris 157, 708.
3. Sagnac, G. (1913). C. R. Acad. Sci., Paris 157, 1410.
4. Post, E. J. (1967). Rev. Mod. Phys. 39, 475.
5. Tartaglia, A. (1998). Phys. Rev. D 58, 064009.
6. Nandi, K. K., Alsing, P. M., Evans, J. C., and Nayak, T. B. (2001). Phys. Rev. D 63, 084027.
7. Michelson, A. A., and Gale, H. G. (1925). Astrophys. J. 61, 140.
8. Weyl, H. (1924). Naturwissenschaften 12, 197.
9. Isenberg, J., and Wheeler, J. A. (1979). Relativity, Quanta and Cosmology, Johnson Reprint Coiporation, New York.
10. Ciufolini, I., and Wheeler, J. A. (1995). Gravitation and Inertia, Princeton University Press, Princeton, NJ.
11. Ohanian, H. C. (1976). Gravitation and Spacetime, Norton, New York.
12. Schleich, W. P., and Scully, M. O. (1984). New Trends in Atomic Physics (Les Houches 1982, Session XXXVI), North-Holland, Amsterdam.
13. Bonnor, W. B., and Steadman, B. R. (1999). Class. Quant. Grav. 16, 1853.
14. Lämmerzahl, C., Everitt, C. W. F., and Hehl, F. W. (2000). Gyros, Clocks, Interferometers: Testing Relativistic Gravity in Space, Springer, Heidelberg.
15. Ciufolini, I., Pavlis, E., Chieppa, F., Fernandes-Vieira, E., and Pérez-Mercader, J. (1998). Science 279, 2100.
16. Thirring, H. (1918). Phys. Z. 19, 33.
17. Thirring, H. (1921). Phys. Z. 22, 29.
18. Lense, J., and Thirring, H. (1918). Phys. Z. 19, 156.
19. Mashoon, B., Hehl, F. W., and Theiss, D. S. (1984). Gen. Rel. Grav. 16, 711.
20. HYPER 2000 Hyper-precision cold atom interrerometry in space, Assessment Study Report, European Space Agency
21. Gustavson, T. L., Bouyer, P., and Kasevich, M. A. (1997). Phys. Rev. Lett. 78, 2046.
22. Gustavson, T. L., Landragin, A., and Kasevich, M. A. (2000). Class. Quant. Grav. 17, 2385
23. Bordé, C. J. (2001). C. R. Acad. Sci. Paris, t.2, Série IV, 509.
24. Bordé, C. J., Karasiewicz, A., and Tourrenc, Ph. (1994). Int. J. Mod. Phys. D 3, 157
25. Gödel, K. (1949). Rev. Mod. Phys. 21, 447
26. Gödel, K., (1949). In Albert Einstein: Philosopher-Scientist. Vol. VII: The Library of Living Philosophers, P. A. Schilpp (Ed.), Evanston, Illinois, p. 557.
27. Gödel, K. (1950). Proc. Int. Cong. Math., 1, 175-181.
28. Hawking, S.W., and Ellis, G. F. R. ( 1973). The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge, UK.
29. Delgado, A., Schleich, W. P., and Süssmann, G. (2002). NJP 4, 37.1.
30. see e.g.: www.esf.org/publication/120/COSLAB.pdf
31. Leonhardt, U., Piwnicki, P. (1999). Phys. Rev. A 60, 4301
32. Volovik, G. E. (2003). The Universe in a Helium Droplet, Oxford University Press, Oxford, UK.
33. Garay, L. J., Anglin, J. R., Cirac, J. I., and Zoller, P. (2001). Phys. Rev. A 63, 023611.
34. Cohen, J. M., Vishveshwara, C. V., and Dhurandhar, S. V. ( 1980). J. Phys. A 13, 933.
35. Kajari, E. (2003), Untersuchungen zum Gödeluniversum, Diploma Thesis, University of Ulm.
36. Chow, W. W., Gea-Banacloche, J., Pedrotti, L. M., Sanders, V. E., Schleich, W. P., and Scully, M. O. (1985). Rev. Mod. Phys. 57, 61
37. Scully, M. O., Zubairy, M. S., Haugan, M. P. (1981). Phys. Rev. A 24, 2009.
38. Hannay, J. H. (1985). J. Phys. A 18, 221.
39. Cohen, J. M., Moses, H. E., Rosenblum, A. (1983). Phys. Rev. Lett. 51, 1501.
40. Bazaǹski, S. L. (1998). AIP Conf. Proc. 453, 421, 428.
41. Landau, L. D., Lifschitz, E. M. (1992). Lehrbuch der theoretischen Physik, Bd. 2: Klassische Feldtheorie, 12, Auflage, Akademie Verlag, Berlin, p. 303.
42. Ehlers J. (1961). Beiträge zur relativistischen Mechanik kontinuierlicher Medien, Abh. Mainzer Akad. Wiss. Math.-Nat. Klasse 1961 Nr. 11.
43. See e.g. Novello, M., Svaiter, N. F., and Guimarães, M. E. X. (1993). Gen. Rel. Grav. 25, 137.
44. Kerr, R. P. (1963). Phys. Rev. Lett. 11, 237.
45. Carter, B. (1968). Phys. Rev. 174, 1559.
46. Stockum, W. J. (1937). Proc. R. Soc. Edinburgh 57, 135.
47. Mallett, R. L. (2003). Found. Phys. 33, 1307.
48. Kundt, W. (1956). Z. Phys. 145, 611.
49. Chandrasekhar, S., and Wright, J. P. (1961). Proc. Nat. Acad. Sci. 47, 341.
50. Novello, M., Damião Soares, I., Tiomno, J. (1983). Phys. Rev. D 27, 779.
51. Ciufolini, I., Kopeikin, S., Mashoon, B., Ricci, F. (2002). arXiv: gr-qc/0210015
52. Marzke, R. F., and Wheeler, J. A. (1964). In Gravitation and Relativity, H.-Y. Chiu and W. F. Hoffman (Eds.), Benjamin, New York.
53. Bodenner, J., and Will, C. M. (2003). Am. J. Phys. 71, 770.
54. Bazański, S. L. (1999). On Einstein's Path, Springer, New York.
55. Bunn, E. F., Ferreira, P. G., and Silk, J. (1996). Phys. Rev. Lett. 77, 2883.
56. Williams, J. E., and Holland, M. (1999). Nature 401, 568
57. Fetter, A. (2002). JLTP 129, 263.
58. Nandi, G., Walser, R., and Schleich, W. P. (2004). Phys. Rev. A 69, 063606.
59. Anglin, J. R., and Ketterle, W. (2002). Nature 416, 211.