On torsion-free vacuum solutions of the model of de Sitter gauge theory of gravity

Abstract

It is shown that all vacuum solutions of Einstein field equation with a positive cosmological constant are the solutions of a model of dS gauge theory of gravity. Therefore, the model is expected to pass the observational tests on the scale of solar systems and explain the indirect evidence of gravitational wave from the binary pulsars PSR1913+16.

References

1. Riess A G Challis P Clocchiatti A Diercks A Garnavich P M Gilliland R L Hogan C J Jha S Kirshner R P Leibundgut B Phillips M M Reiss D Schmidt B P Schommer R A Smith R C Astron. J. 1998 1161009arXiv: astro-ph/9805201. doi: 10.1086/300499
2. Perlmutter S Aldering G Goldhaber G Knop R A Nugent P Groom D E Castro P G Deustua S Astrophys. J. 1999 517565arXiv: astro-ph/9812133. doi: 10.1086/307221
4. Riess A G Nugent P E Gilliland R L Schmidt B P Tonry J Dickinson M Thompson R I Budavri T Casertano S Evans A S Filippenko A V Livio M Sanders D B Shapley A E Spinrad H Steidel C C Stern D Surace J Veilleux S Astrophys. J. 2001 56049arXiv: astro-ph/0104455. doi: 10.1086/322348
5. Bennett C L Halpern M Hinshaw G Jarosik N Kogut A Limon M Meyer S S Page L Spergel D N Tucker G S Wollack E Wright E L Barnes C Greason M R Hill R S Komatsu E Nolta M R Odegard N Peirs H V Verde L Weiland J L Astrophys. J. Suppl. 2003 1481arXiv: astro-ph/0302207. doi: 10.1086/377253
6. Spergel D N Verde L Peiris H V Komatsu E Nolta M R Bennett C L Halpern M Hinshaw G Jarosik N Kogut A Limon M Meyer S S Page L Tucker G S Weiland J L Wollack E Wright E L Astrophys. J. Suppl. 2003 148175arXiv: astro-ph/0302209. doi: 10.1086/377226
7. Wu Y-S Li G-D Guo H-Y Kexue Tongbao (Chin. Sci. Bull.) 1974 19509(in Chinese)
8. An Y Chen S Zou Z-L Guo H-Y KexueTongbao (Chin. Sci. Bull.) 1974 19379(in Chinese)
9. Guo H-Y Kexue Tongbao (Chin. Sci. Bull.) 1976 2131(inChinese)
10. Zou Z L Huang B Zhang Y Z Li G D An Y Chen S Wu Y S Zhang L L He Z X Kuo H Y Scientia Sinica 1979 XXII628
11. Yan M-L Zhao B-H Guo H-Y Kexue Tongbao (Chin. Sci. Bull.) 1979 24587(in Chinese)
12. Yan M-L Zhao B-H Guo H-Y Acta Physica Sinica 1984 3313771386(in Chinese) and references therein
13. Townsend P K Phys. Rev. D 1977 152795. doi: 10.1103/PhysRevD.15.2795
14. Tseytsin A A Phys. Rev. D 1982 263327. doi: 10.1103/PhysRevD.26.3327
15. Look K-H Lu Q-K Why the Minkowski metricmust be used 1970 unpublished (in Chinese)
16. Look K-H Tsou C-L Zou Z-L Kuo H-Y Guo H-Y Acta Physica Sinica 1974 23225(in Chinese)
17. Look K-H Tsou C-L Zou Z-L Kuo H-Y Guo H-Y Nature (Suppl., Shanghai)(in Chinese)
18. Guo H-Y Kexue Tongbao (Chin. Sci. Bull.) 1977 22487(inChinese)
19. Guo H-Y inProceedings of the 2nd MarcelGrossmann Meeting on General RelativityRuffini RNorth-Holland 1982 801
20. Guo H-Y Nucl. Phys. B, Proc. Suppl. 1989 6381. doi: 10.1016/0920‐5632(89)90476‐3
21. Huang C-G Guo H-Y in Gravitation and Astrophysics-Onthe Occasion of the 90th Year of General Relativity, Proceedings ofthe 7th Asia-Pacific International ConferenceNester J MChen C-MHsu J-PSingaporeWorld Scientific 2007 260
22. Guo H-Y Huang C-G Xu Z Zhou B Mod. Phys.Lett. A 2004 191701. doi: 10.1142/S0217732304014033
23. Guo H-Y Huang C-G Tian Y Xu Z Zhou B arXiv: hep-th/0403013
24. Guo H-Y Huang C-G Xu Z Zhou B Phys. Lett.A 2004 3311arXiv: hep-th/0403171. doi: 10.1016/j.physleta.2004.08.036
25. Guo H-Y Huang C-G Xu Z Zhou B Chin. Phys.Lett. 2005 222477arXiv: hep-th/0508094. doi: 10.1088/0256‐307X/22/10/006
26. Guo H-Y Huang C-G Tian Y Xu Z Zhou B Acta Physica Sinica 2005 542494(in Chinese)
27. Guo H-Y Huang C-G Zhou B Europhys. Lett. 2005 721045arXiv:hep-th/0404010. doi: 10.1209/epl/i2005‐10327‐4
28. Guo H-Y Huang C-G Tian Y Wu H-T Zhou B Class. Quant. Grav. 2007 244009. doi: 10.1088/0264‐9381/24/16/004
29. Guo H-Y Huang C-G Tian Y Zhou B Front.Phys. China 2007 2(3)358. doi: 10.1007/s11467‐007‐0045‐0
30. Guo H-Y Phys. Lett. B 2007 65388. doi: 10.1016/j.physletb.2007.05.006
31. Guo H-Y Special Relativity and Theory of Gravity via Maximum Symmetry andLocalization-In Honor of the 80th Birthday of Professor Qikeng LuarXiv: 0707.3855
32. Kibble T W B J. Math. Phys. 1961 2212. doi: 10.1063/1.1703702
33. Held F W von der Heyde P Kerlick G D Nester J M Rev.Mod. Phys. 1976 48393and references therein. doi: 10.1103/RevModPhys.48.393
34. Wise D K MacDowell-Mansouri Gravity and Cartan GeometryarXiv:gr-qc/0611154
35. MacDowell S W Mansouri F Phys. Rev. Lett. 1977 38739. doi: 10.1103/PhysRevLett.38.739
36. MacDowell S W Mansouri F Phys. Rev. Lett. 1977 381376. doi: 10.1103/PhysRevLett.38.1376
37. Stelle K S West P C Phys. Rev. D 1980 211466. doi: 10.1103/PhysRevD.21.1466
38. Wilczek F Phys. Rev. Lett. 1998 804951. doi: 10.1103/PhysRevLett.80.4851
39. Freidel L Starodubtsev A Quantum Gravity in Termsof Topological ObservablesarXiv: hep-th/0501191
40. Leclerc M Annals of Physics 2006 321708. doi: 10.1016/j.aop.2005.08.009
41. Witten E Three-Dimensional Gravity ReconsideredarXiv: 0706.3359
42. Kuo H Y in Proceedings of the 2nd M. Grossmann Meeting on GR, 1979Ruffini RNorth-Holland Publ. 1982 475
43. Yang C N Phys. Rev. Lett. 1974 33445. doi: 10.1103/PhysRevLett.33.445
44. Wu Y-S Zou Z-L Chen S Kexue Tongbao (Chin. Sci. Bull.) 1973 18119(in Chinese)
45. Stephani H Kramer D MacCallum M Hoenselaers C Herlt E Exact Solutions of Einstein'sField EquationsCambridgeCambridge University Press 1980
46. Rauch R Nieh N T Phys. Rev. D 1981 242029. doi: 10.1103/PhysRevD.24.2029