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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access July 17, 2012

A non-diagonal singularity-free model in torsion gravity

  • Murat Korunur EMAIL logo
From the journal Open Physics

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

Published Online: 2012-7-17
Published in Print: 2012-8-1

© 2012 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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