Abstract
In the context of torsion (teleparallel) gravity, we focus on discussing the spin effects of Dirac particles associated with the non-diagonal singularity-free model (Mars space-time). We see that the vector part depends on the radial r and z directions and the axial-vector will be along the radial direction, that is, it will be symmetric about radial direction. Furthermore, the t = 0 case of the Mars metric is considered, thence it is seen that the axial-vector vanishes.
[1] P. Baekler, M. Gurses, F. W. Hehl, J. D. McCrea, Phys. Lett. A 128, 245 (1988) http://dx.doi.org/10.1016/0375-9601(88)90366-010.1016/0375-9601(88)90366-0Search in Google Scholar
[2] T. Kawa, N. Toma, Prog. Theor. Phys. 87, 583 (1992) http://dx.doi.org/10.1143/PTP.87.58310.1143/PTP.87.583Search in Google Scholar
[3] Y. N. Obukhov, E. J. Vlachynsky, W. Esser, R. Tresguerres, F. W. Hehl, Phys. Lett. A 220, 1 (1996) http://dx.doi.org/10.1016/0375-9601(96)00531-210.1016/0375-9601(96)00531-2Search in Google Scholar
[4] E. J. Vlachynsky, W. Esser, R. Tresguerres, F. W. Hehl, Class. Quant. Grav. 13, 3253 (1996) http://dx.doi.org/10.1088/0264-9381/13/12/01610.1088/0264-9381/13/12/016Search in Google Scholar
[5] J. K. Ho, D. C. Chern, J. M. Nester, Chin. J. Phys. 35, 640 (1997) Search in Google Scholar
[6] F. W. Hehl, A. Macias, Int. J. Mod. Phys. D 8, 399 (1999) http://dx.doi.org/10.1142/S021827189900031610.1142/S0218271899000316Search in Google Scholar
[7] G. G. L. Nashed, Phys. Rev. D 66, 064015 (2002) http://dx.doi.org/10.1103/PhysRevD.66.06401510.1103/PhysRevD.66.064015Search in Google Scholar
[8] G. G. L. Nashed, Gen. Rel. Grav. 34, 1047 (2002) http://dx.doi.org/10.1023/A:101650992049910.1023/A:1016509920499Search in Google Scholar
[9] M. Sharif, M.J. Amir, Gen. Relativ. Gravit. 39, 989 (2007) http://dx.doi.org/10.1007/s10714-007-0431-510.1007/s10714-007-0431-5Search in Google Scholar
[10] J. G. Pereira, T. Vargas, C. M. Zhang, Class. Quant. Grav. 18, 833 (2001) http://dx.doi.org/10.1088/0264-9381/18/5/30610.1088/0264-9381/18/5/306Search in Google Scholar
[11] C. M. Zhang, Commun. Theor. Phys. 44, 279 (2005) http://dx.doi.org/10.1088/6102/44/2/27910.1088/6102/44/2/279Search in Google Scholar
[12] M. Korunur, M. Salti, I. Acikgoz, Commun. Theor. Phys. 53, 864 (2010) http://dx.doi.org/10.1088/0253-6102/53/5/1510.1088/0253-6102/53/5/15Search in Google Scholar
[13] P. A. M. Dirac, Proc. Roy. Soc. London 117 A, 610 (1928) 118 A, 351 (1928) Search in Google Scholar
[14] K. Hayashi, T. Nakano, Prog. Theor. Phys. 38, 491 (1967) http://dx.doi.org/10.1143/PTP.38.49110.1143/PTP.38.491Search in Google Scholar
[15] C. Y. Cardall, G. M. Fuller, Phys. Rev. D 55, 7960 (1996) http://dx.doi.org/10.1103/PhysRevD.55.796010.1103/PhysRevD.55.7960Search in Google Scholar
[16] C. M. Zhang, A. Beesham, Mod. Phys. Lett. A 16, 2319 (2001) http://dx.doi.org/10.1142/S021773230100588610.1142/S0217732301005886Search in Google Scholar
[17] K. Hayashi, T. Shirafuji, Phys. Rev. D 19, 3524 (1979) http://dx.doi.org/10.1103/PhysRevD.19.352410.1103/PhysRevD.19.3524Search in Google Scholar
[18] J. Nitsch, F. W. Hehl, Phys. Lett. B 90, 98 (1980) http://dx.doi.org/10.1016/0370-2693(80)90059-310.1016/0370-2693(80)90059-3Search in Google Scholar
[19] B. Mashoon, Class. Quant. Grav. 17, 2399 (2000) http://dx.doi.org/10.1088/0264-9381/17/12/31210.1088/0264-9381/17/12/312Search in Google Scholar
[20] M. Mars, Phys. Rev. D 51, 3989 (1995) http://dx.doi.org/10.1103/PhysRevD.51.R398910.1103/PhysRevD.51.R3989Search in Google Scholar
[21] M. Mars, Class. Quant. Grav. 12, 2831 (1995) http://dx.doi.org/10.1088/0264-9381/12/11/01310.1088/0264-9381/12/11/013Search in Google Scholar
[22] E. Verdaguer, Phys. Rep. 229, 1 (1993) http://dx.doi.org/10.1016/0370-1573(93)90139-510.1016/0370-1573(93)90139-5Search in Google Scholar
[23] L. K. Patel, N. Dadhich, Gen. Rel. Grav. 28, 981 (1996) http://dx.doi.org/10.1007/BF0211309210.1007/BF02113092Search in Google Scholar
[24] H. P. Robertson, Ann. Math. (Princeton) 33, 496 (1932) http://dx.doi.org/10.2307/196853110.2307/1968531Search in Google Scholar
[25] R. Weitzenböck, Invariantten Theorie (Noordhoff, 1923) Search in Google Scholar
[26] R. Aldrovandi, J. G. Pereira, An Introduction to Geometrical Physics (World Scientific, Singapore, 1995) http://dx.doi.org/10.1142/978981283102610.1142/2722Search in Google Scholar
[27] V. C. de Andrade, J. G. Pereira, Phys. Rev. D 56, 4689 (1998) http://dx.doi.org/10.1103/PhysRevD.56.468910.1103/PhysRevD.56.4689Search in Google Scholar
[28] V. C. de Andrade, J. G. Pereira, Gen. Rel. Grav. 30, 263 (1997) http://dx.doi.org/10.1023/A:101884882852110.1023/A:1018848828521Search in Google Scholar
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