From configuration to dynamics: Emergence of Lorentz signature in classical field theory

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 87, Issue 6, 2013, Pages

  Mukohyama, Shinji ^a   Uzan, Jean Philippe ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84875703979     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.87.065020     Document Type: Article

References (77)

1. J.-P. Luminet, J. R. Weeks, A. Riazuelo, R. Lehoucq, and J.-P. Uzan, Nature (London) 425, 593 (2003). NATUAS 0028-0836 10.1038/nature01944 (Pubitemid 37280138)
2. J.-P. Uzan, Rev. Mod. Phys. 75, 403 (2003); RMPHAT 0034-6861 10.1103/RevModPhys.75.403 (Pubitemid 36719927)
3. J.-P. Uzan AIP Conf. Proc. 736, 3 (2004); APCPCS 0094-243X 10.1063/1.1835171
4. J.-P. Uzan Living Rev. Relativity 4, 2 (2011). 1433-8351
5. J. Polchinsky, String Theory (Cambridge University Press, Cambridge, England, 1998).
6. I. Bars, Classical Quantum Gravity 18, 3113 (2001); CQGRDG 0264-9381 10.1088/0264-9381/18/16/303
7. G. B. Halsted, Science 19, 319 (1892). SCIEAS 0036-8075 10.1126/science.ns-19.487.319
8. C. M. Hull, J. High Energy Phys. 11 (1998) 017. JHEPFG 1029-8479 10.1088/1126-6708/1998/11/017
9. J. Dorling, Am. J. Phys. 38, 539 (1970). AJPIAS 0002-9505 10.1119/1.1976386
10. G. W. Gibbons, The Arrows of Time: A Debate in Cosmology, edited by, L. Mersini-Houghton, and, R. Vass, in Fundamental Theories of Physics, Vol. 164 (Springer, New York, 2012), pp. 107-146.
11. J. B. Hartle and S. W. Hawking, Phys. Rev. D 28, 2960 (1983); PRVDAQ 0556-2821 10.1103/PhysRevD.28.2960
12. J. L. Friedman, Classical Quantum Gravity 15, 2639 (1998); CQGRDG 0264-9381 10.1088/0264-9381/15/9/011 (Pubitemid 128125637)
13. J. R. Gott and X. I. Li, Phys. Rev. D 58, 023501 (1998); PRVDAQ 0556-2821 10.1103/PhysRevD.58.023501
14. G. W. Gibbons and J. B. Hartle, Phys. Rev. D 42, 2458 (1990). PRVDAQ 0556-2821 10.1103/PhysRevD.42.2458
15. A. S. Eddington, The Mathematical Theory of Relativity (Cambridge University Press, Cambridge, England, 1923), p. 25.
16. G. W. Gibbons and A. Ishibashi, Classical Quantum Gravity 21, 2919 (2004); CQGRDG 0264-9381 10.1088/0264-9381/21/12/009 (Pubitemid 38882853)
17. M. Mars, J. M. M. Senovilla, and R. Vera, Phys. Rev. D 76, 044029 (2007); PRVDAQ 1550-7998 10.1103/PhysRevD.76.044029
18. M. Mars J. M. M. Senovilla R. Vera Phys. Rev. D 77, 027501 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.77.027501
19. J. Mielczarek, arXiv:1207.4657.
20. H. D. Zeh, The Physical Basis of the Direction of Time (Springer-Verlag, Berlin, 2001).
21. N. Deruelle and J.-P. Uzan, Mécanique et Gravitation Newtonienne (Vuibert, Paris, 2006).
22. C. Rovelli, Phys. Rev. D 42, 2638 (1990); PRVDAQ 0556-2821 10.1103/PhysRevD.42.2638
23. R. Giannitrapani, Int. J. Theor. Phys. 36, 1575 (1997). IJTPBM 0020-7748 10.1007/BF02435757
24. J. Barbour, The End of Time: The Next Revolution In Physics (Oxford University Press, New York, 2000).
25. T. Damour, "Time and Relativity," Séminaire Poincaré XV (2010).
26. C. Rovelli, Found. Phys. 41, 1475 (2011). FNDPA4 0015-9018 10.1007/s10701-011-9561-4
27. V. Balasubramanian, arXiv:1107.2897.
28. G. F. R. Ellis, Gen. Relativ. Gravit. 38, 1797 (2006). GRGVA8 0001-7701 10.1007/s10714-006-0332-z (Pubitemid 44848273)
29. C. Rovelli, Phys. Rev. D 44, 1339 (1991); PRVDAQ 0556-2821 10.1103/PhysRevD.44.1339
30. C. Rovelli Quantum Gravity (Cambridge University Press, Cambridge, England, 2004);
31. C. Rovelli Phys. Rev. 43, 442 (1991); PHRVAO 0031-899X
32. C. Rovelli Classical Quantum Gravity 8, 297 (1991); CQGRDG 0264-9381 10.1088/0264-9381/8/2/011
33. W. G. Unruh and R. M. Wald, Phys. Rev. D 40, 2598 (1989). PRVDAQ 0556-2821 10.1103/PhysRevD.40.2598
34. F. Markopoulou, arXiv:0909.1861.
35. P. Martinetti, arXiv:1203.4995.
36. C. J. Isham and J. Butterfield, in The Arguments of Time, edited by, J. Butterfield, (Oxford University Press, New York, 1999).
37. M. Heller and W. Sasin, Phys. Lett. A 250, 48 (1998). PYLAAG 0375-9601 10.1016/S0375-9601(98)00824-X
38. A. Connes and C. Rovelli, Classical Quantum Gravity 11, 2899 (1994). CQGRDG 0264-9381 10.1088/0264-9381/11/12/007
39. S. M. Carroll, arXiv:0811.3772;
40. G. F. R. Ellis and T. Rothman, Int. J. Theor. Phys. 49, 988 (2010); IJTPBM 0020-7748 10.1007/s10773-010-0278-5
41. G. F. R. Ellis and R. Goswami, arXiv:1208.2611.
42. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998). 1095-0761
43. G. 't Hooft, arXiv:gr-qc/9310026;
44. L. Susskind, J. Math. Phys. (N.Y.) 36, 6377 (1995). JMAPAQ 0022-2488 10.1063/1.531249
45. V. Balasubramanian, B. Czech, K. Larjo, D. Marolf, and J. Simón, J. High Energy Phys. 12 (2007) 067; JHEPFG 1029-8479 10.1088/1126-6708/2007/12/ 067
46. T. Jacobson, Phys. Rev. Lett. 75, 1260 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.75.1260
47. E. P. Verlinde, J. High Energy Phys. 04 (2011) 029; JHEPFG 1029-8479 10.1007/JHEP04(2011)029
48. T. Padmanabhan, Rep. Prog. Phys. 73, 046901 (2010). RPPHAG 0034-4885 10.1088/0034-4885/73/4/046901
49. J. Greensite, Phys. Lett. B 300, 34 (1993). PYLBAJ 0370-2693 10.1016/0370-2693(93)90744-3
50. F. Girelli, S. Liberati, and L. Sindoni, Phys. Rev. D 79, 044019 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.79.044019
51. E. Goulart and S. E. P. Bergliaffa, Phys. Rev. D 84, 105027 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.84.105027
52. C. Wetterich, Nucl. Phys. B852, 174 (2011). NUPBBO 0550-3213 10.1016/j.nuclphysb.2011.06.013
53. M. R. Metha, Phys. Rev. Lett. 65, 1983 (1990). PRLTAO 0031-9007 10.1103/PhysRevLett.65.1983
54. G. W. Horndeski, Int. J. Theor. Phys. 10, 363 (1974). IJTPBM 0020-7748 10.1007/BF01807638
55. C. Deffayet, G. Esposito-Farese, and A. Vikman, Phys. Rev. D 79, 084003 (2009); PRVDAQ 1550-7998 10.1103/PhysRevD.79.084003
56. C. Deffayet, X. Gao, D. A. Steer, and G. Zahariade, Phys. Rev. D 84, 064039 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.84.064039
57. C. Charmousis, E. J. Copeland, A. Padilla, and P. M. Saffin, Phys. Rev. Lett. 108, 051101 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.051101
58. N. Arkani-Hamed, H.-C. Cheng, M. A. Luty, and S. Mukohyama, J. High Energy Phys. 05 (2004) 074. JHEPFG 1029-8479 10.1088/1126-6708/2004/05/074
59. N. Arkani-Hamed, H.-C. Cheng, M. A. Luty, S. Mukohyama, and T. Wiseman, J. High Energy Phys. 01 (2007) 036. JHEPFG 1029-8479 10.1088/1126-6708/2007/01/ 036
60. T. Kobayashi, M. Yamaguchi, and J.'i. Yokoyama, Prog. Theor. Phys. 126, 511 (2011). PTPKAV 0033-068X 10.1143/PTP.126.511
61. A. Nicolis, R. Rattazzi, and E. Trincherini, Phys. Rev. D 79, 064036 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.79.064036
62. P. Peter and J.-P. Uzan, Primordial Cosmology (Oxford University Press, England, 2009).
63. J.-P. Bruneton and G. Esposito-Farese, Phys. Rev. D 76, 124012 (2007). PRVDAQ 1550-7998 10.1103/PhysRevD.76.124012
64. J.-P. Bruneton, arXiv:hep-th/0612113;
65. E. Babichev, V. Mukhanov, and A. Vikman, J. High Energy Phys. 02 (2008) 101; JHEPFG 1029-8479 10.1088/1126-6708/2008/02/101
66. R. Geroch, arXiv:1005.1614;
67. G. F. R. Ellis and J.-P. Uzan, Am. J. Phys. 73, 240 (2005). AJPIAS 0002-9505 10.1119/1.1819929 (Pubitemid 40405701)
68. J. Bekenstein, Phys. Rev. D 70, 083509 (2004). PRVDAQ 1550-7998 10.1103/PhysRevD.70.083509 (Pubitemid 44947542)
69. E. O. Kahya and R. P. Woodard, Phys. Lett. B 652, 213 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2007.07.029
70. C. M. Caves, Ann. Phys. (N.Y.) 125, 35 (1980); APNYA6 0003-4916 10.1016/0003-4916(80)90117-7
71. G. D. Moore and A. E. Nelson, J. High Energy Phys. 09 (2001) 023; JHEPFG 1029-8479 10.1088/1126-6708/2001/09/023
72. J. W. Elliott, G. D. Moore, and H. Stoica, J. High Energy Phys. 08 (2005) 066. JHEPFG 1029-8479 10.1088/1126-6708/2005/08/066
73. R. Kimura and K. Yamamoto, J. Cosmol. Astropart. Phys. 07 (2012) 050. JCAPBP 1475-7516 10.1088/1475-7516/2012/07/050
74. K. Toma, S. Mukohyama, D. Yonetoku, T. Murakami, S. Gunji, T. Mihara, Phys. Rev. Lett. 109, 241104 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109. 241104
75. A. White, S. Weinfurtner, and M. Visser, Classical Quantum Gravity 27, 045007 (2010); CQGRDG 0264-9381 10.1088/0264-9381/27/4/045007
76. S. Weinfurtner, A. White, and M. Visser, Phys. Rev. D 76, 124008 (2007). PRVDAQ 1550-7998 10.1103/PhysRevD.76.124008
77. V. P. Frolov and S. Mukohyama, Phys. Rev. D 83, 044052 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.83.044052