Birefringence in pseudo-Finsler spacetimes

Journal of Physics: Conference Series

Volumn 189, Issue , 2009, Pages

  Skákala, Jozef ^a   Visser, Matt ^a  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 73349131729     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/189/1/012037     Document Type: Conference Paper

References (64)

1. Skakala J and M Visser The pseudo-Finslerian spacetimes of birefringent optics arXiv:0806.0950 [gr-qc]
2. Visser M Acoustic propagation in fluids: An Unexpected example of Lorentzian geometry gr-qc/9311028
3. Visser M 1998 Acoustic black holes: Horizons, ergospheres, and Hawking radiation Class. Quant. Grav. 15 1767 [gr-qc/9712010]
4. Barcelo C, S Liberati and M Visser 2005 Analogue gravity Living Rev. Rel. 8 12 [gr-qc/0505065]
5. Gambini R and J Pullin 1999 Nonstandard optics from quantum spacetime Phys. Rev. D 59 124021 [gr-qc/9809038]
6. Bojowald M, H A Morales-Tecotl and H Sahlmann 2005 On loop quantum gravity phenomenology and the issue of Lorentz invariance Phys. Rev. D 71 084012 [gr-qc/0411101]
7. Mavromatos N E Lorentz Invariance Violation from String Theory arXiv:0708.2250 [hep-th]
8. Mavromatos N E Quantum gravity, cosmology, (Liouville) strings and Lorentz invariance hep-th/0210079
9. Kostelecky V A and R Potting 1996 Phys. Lett. B 381 89 [hep-th/9605088]
10. Vacaru S I Finsler and Lagrange Geometries in Einstein and String Gravity arXiv:0801.4958 [gr-qc]
11. Ambjorn J, J Jurkiewicz and R Loll 2004 Emergence of a 4D world from causal quantum gravity Phys. Rev. Lett. 93 131301 [hep-th/0404156]
12. Ambjorn J, R Loll, Y Watabiki, W Westra and S Zohren 2008 A String Field Theory based on Causal Dynamical Triangulations J. High. Energy. Phys. JHEP05(2008)032 [arXiv:0802.0719 [hep-th]]
13. Judes S and M Visser 2003 Conservation Laws in Doubly Special Relativity Phys. Rev. D 68 045001 [gr-qc/0205067]
14. Liberati S, S Sonego and M Visser 2005 Interpreting doubly special relativity as a modified theory of measurement Phys. Rev. D 71 045001 [gr-qc/0410113]
15. Cohen A G and S L Glashow 2006 Very special relativity Phys. Rev. Lett. 97 021601 [hep-ph/0601236]
16. Gibbons G W, J Gomis and C N Pope 2007 General Very Special Relativity is Finsler Geometry Phys. Rev. D 76 081701 [arXiv:0707.2174 [hep-th]]
17. Kouretsis A P, M Stathakopoulos and P C Stavrinos The General Very Special Relativity in Finsler Cosmology arXiv:0810.3267 [gr-qc]
18. Girelli F and E R Livine Special Relativity as a non commutative geometry: Lessons for Deformed Special Relativity gr-qc/0407098
19. Connes A, M R Douglas and A S Schwarz 1998 Noncommutative geometry and matrix theory: Compactification on tori J. High. Energy. Phys. JHEP02(1998)003 [hep-th/9711162]
20. Ellis G F R and J P R Uzan 2005 'c' is the speed of light, isn't it? Am. J. Phys. 73 240 [gr-qc/0305099]
21. Ellis G F R 2007 Note on varying speed of light cosmologies Gen. Rel. Grav. 39 511 [astro-ph/0703751]
22. Bassett B A, S Liberati, C Molina-Paris and M Visser 2000 Geometrodynamics of variable speed of light cosmologies Phys. Rev. D 62 103518 [astro-ph/0001441]
23. Liberati S, B A Bassett, C Molina-Paris and M Visser 2000 Chi Variable-Speed-Of-Light Cosmologies Nucl. Phys. Proc. Suppl. 88 259 [astro-ph/0001481]
24. Ellis G, R Maartens and M A H MacCallum 2007 Causality and the speed of sound Gen. Rel. Grav. 39 1651 [gr-qc/0703121]
25. Jacobson T, S Liberati and D Mattingly 2006 Lorentz violation at high energy: Concepts, phenomena and astrophysical constraints Ann. Phys. 321 150 [astro-ph/0505267]
26. Jacobson T A, S Liberati, D Mattingly and F W Stecker 2004 New limits on Planck scale Lorentz violation in QED Phys. Rev. Lett. 93 021101 [astro-ph/0309681]
27. Jacobson T, S Liberati and D Mattingly 2003 Lorentz violation and Crab synchrotron emission: A new constraint far beyond the Planck scale Nature 424 1019 [astro-ph/0212190]
28. Jacobson T, S Liberati and D Mattingly 2003 Threshold effects and Planck scale Lorentz violation: Combined constraints from high energy astrophysics Phys. Rev. D 67 124011 [hep-ph/0209264]
29. Jacobson T, S Liberati and D Mattingly 2002 TeV astrophysics constraints on Planck scale Lorentz violation Phys. Rev. D 66 081302 [hep-ph/0112207]
30. Visser M, C Barcelo and S Liberati Acoustics in Bose-Einstein condensates as an example of broken Lorentz symmetry hep-th/0109033
31. Weinfurtner S, S Liberati and M Visser 2006 Modelling Planck-scale Lorentz violation via analogue models J. Phys. Conf. Ser. 33 373 [gr-qc/0512127]
32. Liberati S, M Visser and S Weinfurtner 2006 Naturalness in emergent spacetime Phys. Rev. Lett. 96 151301 [gr-qc/0512139]
33. Weinfurtner S, S Liberati and M Visser 2007 Analogue spacetime based on 2-component Bose-Einstein condensates Lect. Notes Phys. 718 115 [gr-qc/0605121]
34. Weinfurtner S, S Liberati and M Visser 2006 Analogue model for quantum gravity phenomenology J. Phys. A: Math. Gen. 39 6807 [gr-qc/0511105]
35. Jain P, S Weinfurtner, M Visser and C W Gardiner 2007 Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method Phys. Rev. A 76 033616 [arXiv:0705.2077 [cond-mat.other]]
36. Weinfurtner S, P Jain, M Visser and C W Gardiner Cosmological particle production in emergent rainbow spacetimes arXiv:0801.2673 [gr-qc]
37. Visser M and S Weinfurtner 2008 Analogue spacetimes: Toy models for 'quantum gravity' PoS QG-Ph 042 [arXiv:0712.0427 [gr-qc]]
38. Weinfurtner S, M Visser, P Jain and C W Gardiner 2008 On the phenomenon of emergent spacetimes: An instruction guide for experimental cosmology PoS QG-Ph 044 [arXiv:0804.1346 [gr-qc]]
39. Visser M Emergent rainbow spacetimes: Two pedagogical examples arXiv:0712.0810 [gr-qc]
40. Barceló C, S Liberati and M Visser 2001 Analog gravity from field theory normal modes? Class. Quant. Grav. 18 3595 [gr-qc/0104001]
41. Barceló C, S Liberati and M Visser 2002 Refringence, field theory, and normal modes Class. Quant. Grav. 19 2961 [gr-qc/0111059]
42. Visser M, C Barceló and S Liberati Bi-refringence versus bi-metricity gr-qc/0204017
43. Finsler P 1918 ber Kurven und Flachen in allgemeinen Raumen Dissertation, Gottingen (published by Verlag Birkhauser Basel) p 1951
44. Buseman H 1950 The geometry of Finsler space Bull. Am. Math. Soc. 56 (1) 5-16 Part 1
45. Rund H 1959 The differential geometry of Finsler spaces (Springer, Berlin)
46. Bao D, SS Chern and Z Shen 2000 An introduction to Riemann-Finsler geometry (Springer, New York)
47. Bao D, SS Chern and Z Shen (ed) 1996 Finsler Geometry Proc. Joint Summer Research Conf. on Finsler Geometry, July 1995, Seattle, Washington (American Mathematical Society, Providence, Rhode Island)
48. Chern S S 1996 Finsler geometry is just Riemannian geometry without the quadratic restriction Not. Am. Math. Soc. 43 959-963
49. Shen Z 2001 Differential Geometry of Spray and Finsler Spaces (Kluwer, Dordrecht)
50. Shen Z 2001 Lectures on Finsler Geometry (World Scientific, Singapore)
51. Antonelli P L and BC Lackey (ed) 1998 The theory of Finslerian Laplacians and applications (Kluwer, Dordrecht)
52. Bejancu A 1990 Finsler geometry and applications (Ellis Horwood, Chichester, England)
53. Antonelli P L, RS Ingarden, M Matsumoto 1993 The theory of sprays and Finsler spaces with applications in physics and biology (Springer [Kluwer], Berlin)
54. Duval C 2008 Finsler Spinoptics Commun. Math. Phys. 283 701 [arXiv:0707.0200 [math-ph]]
55. Liberati S 2007 Quantum gravity phenomenology via Lorentz violations PoS P 2GC 018 [arXiv:0706.0142 [gr-qc]]
56. Girelli F, S Liberati and L Sindoni 2007 Phenomenology of quantum gravity and Finsler geometry Phys. Rev. D 75 064015 [gr-qc/0611024]
57. Sindoni L The Higgs mechanism in Finsler spacetimes arXiv:0712.3518 [gr-qc]
58. Perlick V 2006 Fermat Principle in Finsler Spacetimes Gen. Rel. Grav. 38 365 [gr-qc/0508029]
59. Siparov S Introduction to the problem of anisotropy in geometrodynamics arXiv 0809.1817 [gr-qc]
60. Punzi R, M N R Wohlfarth and F P Schuller Propagation of light and fluids in string backgrounds arXiv:0711.3771 [hep-th]
61. Schuller F P and M N R Wohlfarth 2007 Radiation-dominated area metric cosmology J. Cosmol. Astropart. Phys. JCAP12(2007)013 [arXiv:0705.4656 [hep-th]]
62. Punzi R, F P Schuller and M N R Wohlfarth 2007 Area metric gravity and accelerating cosmology J. High. Energy. Phys. JHEP02(2007)030 [hep-th/0612141]
63. Schuller F P and M N R Wohlfarth 2006 Geometry of manifolds with area metric Nucl. Phys. B 747 398 [hep-th/0508170]
64. Born M and E Wolf 1999 Principles of Optics 7th edn (Cambridge University Press, England)