Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 72, Issue 2, 2005, Pages 1-18

  Heinicke, Christian ^a   Baekler, Peter ^b   Hehl, Friedrich W ^a,c  

^a UNIVERSITY OF COLOGNE   (Germany)

^b UNIVERSITY OF APPLIED SCIENCES   (Germany)

^c UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749159155     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.72.025012     Document Type: Article

References (93)

1. T. Jacobson and D. Mattingly, Phys. Rev. D 70, 024003 (2004). In this paper J&M finally set up the theory and give it a name, see also the references given there. We consider this to be their central paper on the Einstein-aether. PRVDAQ 0556-2821 10.1103/PhysRevD.70.024003
2. J.F. Barbero G. and E.J.S. Villaseñor, Phys. Rev. D 68, 087501 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.087501
3. S.M. Carroll and E.A. Lim, Phys. Rev. D 70, 123525 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.123525
4. C. Eling and T. Jacobson, Phys. Rev. D 69, 064005 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.064005
5. C. Eling, T. Jacobson, and D. Mattingly, " Einstein-Aether Theory, " to appear in the Proceedings of Deserfest (World Scientific, Singapore, to be published);
6. C. Eling T. Jacobson D. Mattingly gr-qc/0410001.
7. B.Z. Foster, gr-qc/0502066.
8. M.L. Graesser, A. Jenkins, and M.B. Wise, Phys. Lett. B 613, 5 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.03.037
9. T. Jacobson and D. Mattingly, Phys. Rev. D 64, 024028 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.024028
10. E.A. Lim, Phys. Rev. D 71, 063504 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.063504
11. M. Gasperini, Phys. Rev. D 33, 3594 (1986). PRVDAQ 0556-2821 10.1103/PhysRevD.33.3594
12. M. Gasperini, Classical Quantum Gravity CQGRDG 0264-9381 4, 485 (1987). 10.1088/0264-9381/4/2/026
13. V.A. Kostelecky and S. Samuel, Phys. Rev. D 40, 1886 (1989). PRVDAQ 0556-2821 10.1103/PhysRevD.40.1886
14. F. Gronwald and F.W. Hehl, "On the gauge aspects of gravity," in Proceedings of the International School of Cosmology and Gravitation, 14th Course, Quantum Gravity, Erice, Italy, 1995, edited by, P.G. Bergmann,, (World Scientific, Singapore, 1996) p. 148-198.
15. F.W. Hehl, J.D. McCrea, E.W. Mielke, and Y. Ne'eman, Phys. Rep. PRPLCM 0370-1573 258, 1 (1995). 10.1016/0370-1573(94)00111-F
16. H. Weyl, Gravitation und Elektrizität, Sitzungsber. Königl. Preuss. Akad. Wiss. SPAWAV 0371-196X p. 265 (1918).
17. F.W. Hehl and Yu.N. Obukhov, Foundations of Classical Electrodynamics: Charge, Flux, and Metric (Birkhäuser, Boston, MA, 2003).
18. W. Thirring, Classical Mathematical Physics-Dynamical Systems and Field Theories, 3rd ed. (Springer, New York, 1997).
19. E. Schrödinger, Space-Time Structure (Cambridge University Press, Cambridge, 1954).
20. A. Einstein, Foreword in Cinquant'anni di Relatività 1905-1955, edited by, M. Pantaleo, (Edizioni Giuntine and Sansoni Editore, Firenze, 1955), our translation from the German original.
21. M. Blagojević, Gravitation and Gauge Symmetries (IOP Publishing, Bristol, UK, 2002).
22. E.W. Mielke, Geometrodynamics of Gauge Fields-On the geometry of Yang-Mills and gravitational gauge theories (Akademie-Verlag, Berlin, 1987).
23. A. Trautman, "The Einstein-Cartan Theory," in Encyclopedia of Mathematical Physics, edited by, J.P. Françoise,, (Elsevier, Oxford, to be published);
24. A. Trautman http://www.fuw. edu.pl/~amt/ect.pdf.
25. M.P. Haugan and C. Lämmerzahl, Lect. Notes Phys. LNPHA4 0075-8450 562, 195 (2001).
26. C. Lämmerzahl, Phys. Lett. A 228, 223 (1997). PYLAAG 0375-9601 10.1016/S0375-9601(97)00127-8
27. V.A. Kostelecky, Phys. Rev. D 69, 105009 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.105009
28. R. Bluhm and V.A. Kostelecky, Phys. Rev. D 71, 065008 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.065008
29. R. Bluhm, Phys. World 17N3, 41 (2004). PHWOEW 0953-8585
30. C. Lämmerzahl, Ann. Phys. (Leipzig) ANPYA2 0003-3804 14, 71 (2005). 10.1002/andp.200410127
31. D. Mattingly, gr-qc/0502097.
32. H. Müller, S. Herrmann, A. Saenz, A. Peters, and C. Lämmerzahl, Phys. Rev. D 70, 076004 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.076004
33. M.E. Tobar, P. Wolf, A. Fowler, and J.G. Hartnett, Phys. Rev. D 71, 025004 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.025004
34. R.E. Allen and S. Yokoo, Nucl. Phys. B Proc. Suppl. NPBSE7 0920-5632 134, 139 (2004). 10.1016/j.nuclphysbps.2004.08.023
35. A.A. Andrianov, R. Soldati, and L. Sorbo, Phys. Rev. D 59, 025002 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.025002
36. J.M. Nester, "Gravity, Torsion and Gauge Theory," in Introduction to Kaluza-Klein theories, edited by, H.C. Lee,, (World Scientific, Singapore, 1984), pp. 83-115.
37. J. Socorro, A. Macias, and F.W. Hehl, Comput. Phys. Commun. CPHCBZ 0010-4655 115, 264 (1998). 10.1016/S0010-4655(98)00133-7
38. H.F.M. Goenner, Living Rev. Relativity 1433-8351 7, 2 (2004).
39. L. O'Raifeartaigh, The Dawning of Gauge Theory (Princeton University Press, Princeton, NJ, 1997).
40. F.W. Hehl and Y.N. Obukhov, "Is a "hadronic" shear current one of the sources in metric-affine gravity?" in Proceedings of the 8th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (MG 8), Jerusalem, Israel, 1997, edited by, T. Piran, and, R. Ruffiui, (World Scientific, Singapore, 1999);
41. F.W. Hehl Y.N. Obukhov gr-qc/9712089.
42. Y. Ne'eman and F.W. Hehl, Classical Quantum Gravity CQGRDG 0264-9381 14, A251 (1997). 10.1088/0264-9381/14/1A/020
43. Y. Itin, Gen. Relativ. Gravit. GRGVA8 0001-7701 34, 1819 (2002). 10.1023/A:1020759923382
44. R. Kuhfuss and J. Nitsch, Gen. Relativ. Gravit. GRGVA8 0001-7701 18, 1207 (1986). 10.1007/BF00763447
45. E. Sezgin and P. van Nieuwenhuizen, Phys. Rev. D 21, 3269 (1980). PRVDAQ 0556-2821 10.1103/PhysRevD.21.3269
46. O.V. Babourova and B.N. Frolov, Classical Quantum Gravity CQGRDG 0264-9381 20, 1423 (2003). 10.1088/0264-9381/20/8/302
47. T. Dereli, M. Ander, J. Schray, R.W. Tucker, and C. Wang, Classical Quantum Gravity CQGRDG 0264-9381 13, L103 (1996). 10.1088/0264-9381/13/8/002
48. R. Floreanini and R. Percacci, Phys. Rev. D 52, 896 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.896
49. R.W. Tucker and C. Wang, Classical Quantum Gravity CQGRDG 0264-9381 12, 2587 (1995). 10.1088/0264-9381/12/10/016
50. R.W. Tucker and C. Wang, Classical Quantum Gravity CQGRDG 0264-9381 15, 933 (1998). 10.1088/0264-9381/15/4/015
51. D. Vassiliev, Gen. Relativ. Gravit. GRGVA8 0001-7701 34, 1239 (2002). 10.1023/A:1019730602253
52. D. Vassiliev, Ann. Phys. (Leipzig) ANPYA2 0003-3804 14, 231 (2005). 10.1002/andp.200410118
53. C. Heinicke and F.W. Hehl, "Computer algebra in gravity," in Computer Algebra Handbook: Foundations, Applications, Systems, edited by, J. Grabmeier,,, E. Kaltofen,, and, V. Weispfenning, (Springer, Berlin, 2003).
54. P. Baekler and F.W. Hehl, " Metric-affine gauge theory of gravity III. Prolongation and new classes of exact solutions " (to be published).
55. P. Baekler, " Prolongation in Metric-Affine Gravity " (unpublished).
56. C.-M. Chen, J.M. Nester, and R.-S. Tung, Phys. Lett. A 203, 5 (1995). PYLAAG 0375-9601 10.1016/0375-9601(95)92844-T
57. J.K. Ho, D.-C. Chern, and J.M. Nester, Chin. J. Phys. (Taipei) CJOPAW 0577-9073 35, 640 (1997).
58. Y.-H. Wu, "Quasilocal energy-momentum in Metric Affine Gravity," Master thesis, National Central University, Chung-Li, Taiwan, ROC, 2001.
59. Y.-H. Wu, J.M. Nester, and C.-M. Chen, " Quasilocal Energy-Momentum in Metric Affine Gravity: Asymptotic Values for Spherically Symmetric Solutions, " report National Central University, Chung-li, Taiwan, ROC, 2003/04 (to be published).
60. Y.-H. Wu, C.-M. Chen, and J.M. Nester, " Quasilocal Energy-Momentum in Metric Affine Gravity I: Dilaton Type Solution, " report National Central University, Chung-li, Taiwan, ROC, 2003 (to be published).
61. P. Bae(c)kler, R. Hecht, F.W. Hehl, and T. Shirafuji, Prog. Theor. Phys. PTPKAV 0033-068X 78, 16 (1987).
62. E.W. Mielke, Phys. Rev. D 63, 044018 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.044018
63. F.W. Hehl and A. Macías, Int. J. Mod. Phys. D 8, 399 (1999). IMPDEO 0218-2718 10.1142/S0218271899000316
64. A.D. King and D. Vassiliev, Classical Quantum Gravity CQGRDG 0264-9381 18, 2317 (2001). 10.1088/0264-9381/18/12/307
65. A.V. Minkevich and Yu.G. Vasilevski, gr-qc/0301098.
66. Yu.N. Obukhov, E.J. Vlachynsky, W. Esser, and F.W. Hehl, Phys. Rev. D 56, 7769 (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.56.7769
67. D. Puetzfeld, Classical Quantum Gravity CQGRDG 0264-9381 19, 3263 (2002); 10.1088/0264-9381/19/12/310
68. D. Puetzfeld Classical Quantum Gravity CQGRDG 0264-9381 19, 4463 (2002). 10.1088/0264-9381/19/16/316
69. D. Puetzfeld and R. Tresguerres, Classical Quantum Gravity CQGRDG 0264-9381 18, 677 (2001). 10.1088/0264-9381/18/4/308
70. R. Tresguerres, Z. Phys. C ZPCFD2 0170-9739 65, 347 (1995). 10.1007/BF01571892
71. R. Tresguerres, Phys. Lett. A 200, 405 (1995). PYLAAG 0375-9601 10.1016/0375-9601(95)00206-I
72. R. Tresguerres and E.W. Mielke, Phys. Rev. D 62, 044004 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.044004
73. M. Adak, T. Dereli, and L.H. Ryder, Phys. Rev. D 69, 123002 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.123002
74. O. Preuss, "Astronomical tests of the Einstein equivalence principle," Ph.D. thesis, University of Bielefeld, 2002, gr-qc/0305083.
75. O. Preuss, M.P. Haugan, S.K. Solanki, and S. Jordan, Phys. Rev. D 70, 067101 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.067101
76. D. Puetzfeld, New Astron. Rev. 49, 59 (2005). NAREF9 1387-6473 10.1016/j.newar.2005.01.022
77. D. Puetzfeld and X. Chen, Classical Quantum Gravity CQGRDG 0264-9381 21, 2703 (2004). 10.1088/0264-9381/21/11/013
78. S.K. Solanki, O. Preuss, M.P. Haugan, Phys. Rev. D 69, 062001 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.062001
79. A. García, A. Macías, D. Puetzfeld, and J. Socorro, Phys. Rev. D 62, 044021 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.044021
80. A. Macías, C. Lämmerzahl, and A. García, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 41, 6369 (2000). 10.1063/1.1287429
81. Yu.N. Obukhov, "Plane waves in metric-affine gravity," Proceedings of the German Physical Society (DPG), Ulm, Germany, 2004 (to be published).
82. R. Percacci, Nucl. Phys. NUPBBO 0550-3213 B353, 271 (1991). 10.1016/0550-3213(91)90510-5
83. J. Julve, A. Lopez-Pinto, A. Tiemblo, and R. Tresguerres, "Nonlinear Gauge Foundation of Affine Theories of Gravity with Fermionic Matter," in New Frontiers in Gravitation, edited by, G.A. Sardanashvily, (Hadrouic Press, Palm Harbour, 1995), pp. 115-144.
84. A. Lopez-Pinto, A. Tiemblo, and R. Tresguerres, Classical Quantum Gravity CQGRDG 0264-9381 13, 2255 (1996). 10.1088/0264-9381/13/8/018
85. I. Kirsch, hep-th/0503024.
86. E.A. Lord, Gen. Relativ. Gravit. GRGVA8 0001-7701 19, 983 (1987). 10.1007/BF00759578
87. E.A. Lord and P. Goswami, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 27, 2415 (1986); 10.1063/1.526980
88. E.A. Lord J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 27, 3051 (1986); 10.1063/1.527234
89. E.A. Lord J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 29, 258 (1988). 10.1063/1.528183
90. R. Tresguerres, Phys. Rev. D 66, 064025 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.064025
91. W. Esser, Exact Solutions of the Metric-Affine Gauge Theory of Gravity, Diploma Thesis, University of Cologne, 1996.
92. Y.-S. Duan, J.-C. Liu, and X.-G. Dong, Gen. Relativ. Gravit. GRGVA8 0001-7701 20, 485 (1988). 10.1007/BF00758123
93. Yu.N. Obukhov, E.J. Vlachynsky, W. Esser, R. Tresguerres, and F.W. Hehl, Phys. Lett. A 220, 1 (1996). PYLAAG 0375-9601 10.1016/0375-9601(96)00531-2