Symmetry and special relativity in Finsler spacetime with constant curvature

Differential Geometry and its Application

Volumn 30, Issue 6, 2012, Pages 737-748

  Li, Xin ^a,c   Changb, Zhe ^b,c  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b INSTITUTE OF HIGH ENERGY PHYSICS   (China)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Finsler spacetime; Projectively flat; Special relativity

Indexed keywords

EID: 84868634439     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.difgeo.2012.07.009     Document Type: Article

References (55)

1. Amelino-Camelia G. Phys. Lett. B 2001, 510:255.
2. Amelino-Camelia G. Int. J. Mod. Phys. D 2002, 11:35.
3. Amelino-Camelia G. Nature 2002, 418:34.
4. Coleman S.R., Glashow S.L. Phys. Lett. B 1997, 405:249.
5. Coleman S.R., Glashow S.L. Phys. Rev. D 1999, 59:116008.
6. Cohen A.G., Glashow S.L. Phys. Rev. Lett. 2006, 97:021601.
7. Guo H.Y., Huang C.G., Xu Z., et al. Mod. Phys. Lett. A 2004, 19:1701.
8. Guo H.Y., Huang C.G., Xu Z., et al. Phys. Lett. A 2004, 331:1.
9. Look K.H., Tsou (Z.L.Zou) C.L., Kuo (H.Y.Guo) H.Y. Acta Phys. Sin. 1974, 23:225.
10. Guo H.Y. Nucl. Phys. B (Proc. Suppl.) 1989, 6:381.
11. Snyder H.S. Phys. Rev. 1947, 71:38.
12. Guo H.Y., et al. Classical Quantum Gravity 2007, 24:4009.
13. Sheikh-Jabbari M.M., Tureanu A. Phys. Rev. Lett. 2008, 101:261601.
14. Bao D., Chern S.S., Shen Z. An Introduction to Riemann-Finsler Geometry. Graduate Texts in Mathematics 2000, vol. 200. Springer, New York.
15. Ghosh S., Pal P. Phys. Rev. D 2007, 75:105021.
16. Girelli F., Liberati S., Sindoni L. Phys. Rev. D 2007, 75:064015.
17. Gibbons G.W., Gomis J., Pope C.N. Phys. Rev. D 2007, 76:081701.
18. Killing W. J. Reine Angew. Math. (Crelle) 1892, 109:121.
19. Alvarez E., Vidal R. arxiv:0803.1949v1.
20. Cardone F., et al. Electron. J. Theor. Phys. 2009, 6(20):59.
21. Deng S., Hou Z. Pacific J. Math. 2002, 207:149.
22. Müller H., Stanwix P.L., Tobar M.E., Ivanov E., Wolf P., Herrmann S., Senger A., Kovalchuk E., Peters A. Phys. Rev. Lett. 2007, 99:050401.
23. Lämmerzahl C., Lorek D., Dittus H. Gen. Relativity Gravitation 2009, 41:1345.
24. Kostelecky A. arxiv:0802.0581v1.
25. Bogoslovsky G. arxiv:0706.2621.
26. Bogoslovsky G. Nuovo Cimento B 1977, 40:99.
27. Bogoslovsky G. Nuovo Cimento B 1978, 43:377.
28. Komatsu E., et al. Astrophys. J. Suppl. 2009, 180:330.
29. Webb J.K., et al. arxiv:1008.3907v1.
30. Chang Z., Li X. Phys. Lett. B 2008, 668:453.
31. Chang Z., Li X. Phys. Lett. B 2009, 676:173.
32. Li X., Chang Z. Phys. Lett. B 2010, 692:1.
33. Anderson J.D., et al. Phys. Rev. Lett. 1998, 81:2858.
34. Anderson J.D., et al. Phys. Rev. D 2002, 65:082004.
35. Anderson J.D., et al. Mod. Phys. Lett. A 2002, 17:875.
36. Li X., Chang Z. Phys. Rev. D 2010, 82:124009.
37. Clowe D., Randall S.W., Markevitch M. http://flamingos.astro.ufl.edu/1e0657/index.html.
38. Clowe D., Randall S.W., Markevitch M. Nucl. Phys. B (Proc. Suppl.) 2007, 173:28.
39. F. Klein, Erlangen program, Inaugural address at the University of Erlangen, 1872.
40. Guo H.Y. Sci. China Ser. A Math. 2008, 51:568.
41. Einstein A. Ann. Phys. 1905, 17:891.
42. Bao D., Chern S.S., Shen Z. An Introduction to Riemann-Finsler Geometry. Graduate Texts in Mathematics 2000, vol. 200. Springer, New York.
43. Hamel G. Über die Geometrieen in denen die Geraden die Kürzesten sind. Math. Ann. 1903, 57:231.
44. Shen Z. Some Perspectives in Finsler Geometry. MSRI Publication Series 2004, Cambridge University Press, Cambridge.
45. Randers G. Phys. Rev. 1941, 59:195.
46. Li B., Shen Z. Internat. J. Math. 2007, 18:1.
47. Funk P. Math. Ann. 1929, 101:226.
48. Shen Z. Differential Geometry of Spray and Finsler Spaces 2001, Kluwer, Dordrecht.
49. Shen Z. Trans. Amer. Math. Soc. 2003, 355:1713.
50. Berwald L. Math. Z. 1929, 30:449.
51. Copeland E.J., Sami M., Tsujikawa S. Int. J. Mod. Phys. D 2006, 15:1753.
52. Huang C.G., Guo H.Y., Tian Y., Xu Z., Zhou B. Int. J. Mod. Phys. A 2004, 22:2535.
53. Tian Y., Guo H.Y., Huang C.G., Xu Z., Zhou B. Phys. Rev. D 2005, 71:044030.
54. Kogut J.B., Soper D.E. Phys. Rev. D 1970, 1:2901.
55. Egorov A.I. Math. USSR Sb. 1983, 44:279.