Abstract
The coframe (teleparallel) description of gravity is known as a viable alternative to GR. One of advantages of this model is the existence of a conserved energy–momentum current witch is covariant under all symmetries of the three-parameter Lagrangian. In this paper we study the relation between the covector valued current and the energy–momentum tensor. Algebraic properties of the conserved current for different values of parameters are derived. It is shown that the tensor corresponding to the coframe current is traceless and, in contrast to the electromagnetic field, has in general a non vanishing antisymmetric part. The symmetric part is also non zero for all values of the parameters. Consequently, the conserved current involves the energy–momentum as well as the rotational (spin) properties of the field.
Similar content being viewed by others
REFERENCES
Hehl, F. W., Ne'eman, Y., Nitsch, J., and Von der Heyde, P. (1978). Phys. Lett. B 78, 102.
Hayashi, K. and Shirafuji, T. (1979). Phys. Rev. D 19, 3524–3553.
Hehl, F. W. (1979). In Proceedings of the 6th Course on Spin, Torsion and Supergravity, held at Erice, Italy, P. G. Bergmann and V. de Sabbata (Eds.) (Plenum, New York) p. 5.
Kawai, T. (1994). Phys. Rev. D, 49, 2862–2871; (2000). Phys. Rev. D 62, 104014.
Hehl, F. W., McCrea, J. D., Mielke, E. W., and Ne'eman, Y. (1995). Phys. Rep. 258, 1–171.
Muench, U., Gronwald, F., Hehl, F. W. (1998). Gen. Rel. Grav. 30, 933–961.
Itin, Y. (2001). Int. J. Mod. Phys. D 10, 547–573.
Fatibene, L., Ferraris, M., Francaviglia, M., and Godina, M. (1998). Gen. Rel. Grav. 30, 1371– 1389.
de Andrade, V. C., Guillen, L. C. T., and Pereira, J. G. (2000). Phys. Rev. Lett. 84, 4533–4536.
Itin, Y. (2002). Class. Quant. Grav. 19, 173–190.
Maluf, J. W. and da Rocha Neto, J. F. (1999). J. Math. Phys. 40, 1490–1503.
Blagojević, M. and Nikolić, I. A. (2000). Phys. Rev. 62, 024021.
Blagojević, M. and Vasilić, M. (2001). Phys. Rev. D 64, 044010.
Mielke, E. W. (1992). Ann. Phys. (New York) 219, 78–108.
Nester, J. M. and Tung, R. S. (1994). Phys. Rev. D 49, 3958–3962.
Hehl, F. W. and Obukhov, Yu. N. (2001). Preprint gr-qc/0103020.
Hehl, F.W. and Obukhov, Yu. N. (2002). Foundations of Classical Electrodynamics (Birkhäuser, Boston).
Itin, Y. and Kaniel, S. (2000). J. Math. Phys. 41, 6318–6340.
Sezgin, E. and van Nieuwenhuizen, P. (1980). Phys. Rev. D 21, 3269.
Kuhfuss, R. and Nitsch, J. (1986). Gen. Rel. Grav. 18, 1207.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Itin, Y. Coframe Energy–Momentum Current. Algebraic Properties. General Relativity and Gravitation 34, 1819–1837 (2002). https://doi.org/10.1023/A:1020759923382
Issue Date:
DOI: https://doi.org/10.1023/A:1020759923382