|
|
On torsion-free vacuum solutions of the model
of de Sitter gauge theory of gravity (II) |
Chao-guang HUANG(黄超光)1,Meng-sen MA(马孟森)2, |
1.Institute
of High Energy Physics, Chinese Academy of Sciences, Beijing 100049,
China;Theoretical
Physics Center for Science Facilities, Chinese Academy of Sciences,
Beijing 100049, China; 2.Institute
of High Energy Physics, Chinese Academy of Sciences, Beijing 100049,
China; |
|
|
Abstract It is shown that all torsion-free vacuum solutions of the model of de Sitter (dS) gauge theory of gravity are the vacuum solutions of Einstein field equations with the same positive cosmological constant. Furthermore, for the gravitational theories with more general quadratic gravitational Lagrangian (F2+T2), the torsion-free vacuum solutions are also the vacuum solutions of Einstein field equations.
|
Keywords
torsion-free vacuum solutions
model of de sitter gauge theory
gravity
|
Issue Date: 05 December 2009
|
|
|
A. G. Riess, A. V. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P. M. Garnavich, R. L. Gilliland, C. J. Hogan, S. Jha, R. P. Kirshner, et al, Astron. J., 1998, 116: 1009, arXiv: astro-ph/9805201
doi: 10.1086/300499
|
|
S. Perlmutter, G. Aldering, G. Goldhaber, R. A. Knop, P. Nugent, P. G. Castro, S. Deustua, S. Fabbro, A. Goobar, D. E. Groom, et al, Astrophys.J., 1999, 517: 565, arXiv: astro-ph/9812133
doi: 10.1086/307221
|
|
A. G. Riess, A. V. Filippenko, M. C. Liu, P. Challis, A. Clocchiatti, A. Diercks, P. M. Garnavich, C. J. Hogan, S. Jha, R. P. Kirshner, et al, Astrophys. J., 2000, 536: 62, arXiv: astro-ph/0001384
doi: 10.1086/308939
|
|
P. E. Nugent, R. L. Gilliland, B. P. Schmidt, J. Tonry, M. Dickinson, R. L. Gilliland, R. I. Thompson, T. Budavari, S. Casertano, A. S. Evans, et al, Astrophys. J., 2001, 560: 49, arXiv:astro-ph/0104455
doi: 10.1086/322348
|
|
C. L. Bennett, M. Halpern, G. Hinshaw. N. Jarosik, A. Kogut, M. Limon, S. S. Meyer, L. Page, D. N. Spergel, G. S. Tucker, et al, Astrophys.J. (Suppl)., 2003, 148: 1, arXiv: astro-ph/0302207
|
|
D. N. Spergel, L. Verde, H. V. Peiris, E. Komatsu, M. R. Nolta, C. L. Bennett, M. Halpern, G. Hinshaw, N. Jarosik, A. Kogut, et al, Astrophys. J. (Suppl)., 2003, 148: 175, arXiv: astro-ph/0302209
|
|
Y. S. Wu, G. D. Li, and H. Y. Guo, Kexue Tongbao (Chi. Sci. Bull.), 1974, 19: 509 (in Chinese)
|
|
Y. An, S Chen, Z. L. Zou, and H. Y. Guo, Kexue Tongbao (Chi. Sci. Bull.), 1974, 19: 379 (in Chinese)
|
|
H. Y. Guo, Kexue Tongbao (Chi. Sci. Bull.), 1976, 21: 31 (in Chinese)
|
|
Z. L. Zou, P. Huang, Y. Z. Zhang, G. D. Li, Y. An, S. Chen, Y. S. Wu, Z. X. He, L. N. Zhang, H. Y. Guo, et al, Sci. Sinica, 1979, XXII: 628 (in Chinese)
|
|
M. L. Yan, B. H. Zhao, and H. Y. Guo, Kexue Tongbao (Chin. Sci. Bull.), 1979, 24: 587 (in Chinese)
|
|
M. L. Yan, B. H. Zhao, and H. Y. Guo, Acta Physica Sinica, 1984, 33: 1377; 1386 (in Chinese)
|
|
P. K. Townsend, Phys. Rev. D, 1977, 15: 2795
doi: 10.1103/PhysRevD.15.2795
|
|
A. A. Tseytsin, Phys. Rev. D, 1982, 26: 3327
doi: 10.1103/PhysRevD.26.3327
|
|
K. H. Look (Q. K. Lu), Why the Minkowskimetric must be used? 1970 (unpublished)
|
|
K. H. Look, C. L. Tsou (Z. L. Zou), and H. Y. Kuo (H. Y. Guo), Acta Physica Sinica, 1974, 23: 225 (in Chinese)
|
|
K. H. Look, C. L. Tsou, and H. Y. Kuo, Nature (Shanghai, Suppl.), Mod.Phys, 1980, 1:97 (in Chinese)
|
|
H. Y. Guo, Kexue Tongbao (Chin. Sci. Bull.), 1977, 22: 487 (in Chinese)
|
|
H. Y. Guo, in: Proceedings of the 2nd Marcel Grossmann Meeting on General Relativity,edited by R. Ruffini, North- Holland, 1982: 801
|
|
H. Y. Guo, Nucl. Phys. B, Proc. Suppl., 1989, 6: 381
doi: 10.1016/0920-5632(89)90476-3
|
|
C. G. Huang and H. Y. Guo, in: Gravitation andAstrophysics — On the Occasion of the 90th Year of General Relativity,Proceedings of the VII Asia-Pacific International Conference, editedby J. M. Nester, C. M Chen, and J. P. Hsu, Singapore: World Scientific, 2007: 260
|
|
H. Y. Guo, C. G. Huang, Z. Xu, and B. Zhou, Mod.Phys. Lett. A, 2004, 19: 1701, arXiv: hep-th/0311156
doi: 10.1142/S0217732304014033
|
|
C. G. Huang, H. Y. Guo, Y. Tian, Z. Xu, and B. Zhou, Int. J. Mod. Phys.A, 2007, 22: 2535, arXiv: hep-th/0403013
doi: 10.1142/S0217751X07036221
|
|
H. Y. Guo, C. G. Huang, Z. Xu, and B. Zhou, Phys.Lett. A, 2004, 331: 1, arXiv: hep-th/0403171
doi: 10.1016/j.physleta.2004.08.036
|
|
H. Y. Guo, C. G. Huang, Z. Xu, and B. Zhou, Chin.Phys. Lett., 2005, 22: 2477, arXiv: hep-th/0508094
doi: 10.1088/0256-307X/22/10/006
|
|
H. Y. Guo, C. G. Huang, Y. Tian, Z. Xu, and B. Zhou, Acta Physica Sinica, 2005, 54: 2494 (in Chinese)
|
|
M. L. Yan, N. C. Xiao, W. Huang, and S. Li, Comm.Theor. Chao-guang HUANG and Meng-sen MA, Front. Phys. China, 2009,4(4) 529 Phys., 2007, 48: 27, arXiv: hep-th/0512319
|
|
H. Y. Guo, C. G. Huang, and B. Zhou, Europhys. Lett., 2005, 72: 1045, arXiv: hep-th/0404010
doi: 10.1209/epl/i2005-10327-4
|
|
Z. Chang, S. X. Chen, and C. G. Huang, Chin. Phys. Lett., 2005, 22: 791
doi: 10.1088/0256-307X/22/4/003
|
|
Z. Chang, S. X. Chen, C. B. Guan, and C. G. Huang, Phys. Rev. D., 2005, 71: 103007
doi: 10.1103/PhysRevD.71.103007
|
|
S. X. Chen, N. C. Xiao, and M. L. Yan, Chin. Phys. C, 2008, 32: 612, arXiv: astro-ph/0703110
|
|
H. Y. Guo, C. G. Huang, Y. Tian, H. T. Wu, and B. Zhou, Class. Quant. Grav., 2007, 24: 4009, arXiv: gr-qc/0703078
|
|
H. Y. Guo, Phys. Lett. B, 2007, 653: 88
doi: 10.1016/j.physletb.2007.05.006
|
|
H. Y. Guo, Scin. Chin. A, 2008, 51: 568, arXiv: 0707.3855
|
|
C. G. Huang, H. Q. Zhang, and H. Y. Guo, JCAP, 2008, 10: 010, arXiv: 0801.0905
|
|
C. G. Huang, H. Q. Zhang, and H. Y. Guo, Chin. Phys. C (High Energ. Phys.Nucl. Phys.), 2008, 32: 687
|
|
H. Y. Guo, C. G. Huang, Y. Tian, and B. Zhou, Front.Phys. China, 2007, 2(3): 358, arXiv: gr-qc/0703078
doi: 10.1007/s11467-007-0045-0
|
|
C. G. Huang and M. S. Ma, De Sitter solutionswith torsion in the model of de Sitter gauge theory of gravity submittedto Phys. Rev. D
|
|
S. W. MacDowell and F. Mansouri, Phys. Rev. Lett., 1977, 38: 739; Erratum-ibid., 1977, 38: 1376
|
|
K. S. Stelle and P. C. West, Phys. Rev. D, 1980, 21: 1466
doi: 10.1103/PhysRevD.21.1466
|
|
F. Wilczek, Phys. Rev. Lett., 1998, 80: 4851
doi: 10.1103/PhysRevLett.80.4851
|
|
L. Freidel and A. Starodubtsev, Quantum gravity interms of topological observables, arXiv: hep-th/0501191
|
|
J. Armenta and J. A. Nieto, J. Math. Phys., 2005, 46: 112503
doi: 10.1063/1.2121227
|
|
M. Leclerc, Annals of Physics, 2006, 321: 708
doi: 10.1016/j.aop.2005.08.009
|
|
D.K. Wise, MacDowell-Mansouri Gravity and Cartan Geometry, arXiv: gr-qc/0611154
|
|
P. Mahato, Mod. Phys. Lett. A, 2002, 17: 1991, arXiv: gr-qc/0604042
doi: 10.1142/S0217732302008460
|
|
P. Mahato, Phys. Rev. D, 2004, 70: 124024, arXiv: grqc/0603100
|
|
P. Mahato, Int. J. Theor. Phys., 2005, 44: 79, arXiv: grqc/0603109
|
|
P. Mahato, Int. J. Mod. Phys. A, 2007, 22: 835, arXiv: gr-qc/0603134
doi: 10.1142/S0217751X07034076
|
|
R. Tresguerres, Int. J. Geom. Meth. Mod. Phys., 2008, 5: 171
doi: 10.1142/S0219887808002692
|
|
C. N. Yang, Phys. Rev. Lett., 1974, 33: 445
doi: 10.1103/PhysRevLett.33.445
|
|
G. Stephenson, Nuovo Cim., 1958, 9: 263
doi: 10.1007/BF02724929
|
|
C. W. Kilmister and D. J. Newman, Proc. Camb. Phil. Soc., 1961, 57: 851
doi: 10.1017/S0305004100036008
|
|
Y. S. Wu, Z. L. Zou, and S. Chen, Kexue Tongbao (Chin. Sci. Bull.), 1973, 18: 119
|
|
G. Debney, E. E. Fairchild Jr, and S. T. C. Siklos, Gen. Rel. Grav., 1978, 9: 879
doi: 10.1007/BF00759647
|
|
H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, Exact Solutions ofEinstein’s Field Equations, Cambridge: Cambridge UniversityPress, 1980
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|