Abstract
We derive three different solutions in the framework of the teleparallel equivalent of general relativity (TEGR). We apply the energy-momentum tensor to calculate energy, irreducible mass, spatial momentum and angular-momentum associated with these solutions. We obtain anomalous physical results therefore, we calculate the Killing vectors using the definition of the Lie derivative.
Similar content being viewed by others
References
Blagojević, M., Vasilić, M.: Class. Quantum Gravity 17, 3785 (2000)
Feroze, T., Mahomed, F.M., Qadir, A.: Nonlinear Dyn. 45, 65 (2006)
Hall, G.S.: Symmetries and Curvature Structure in General Relativity. World Scientific, Singapore (2004)
Hayashi, K., Shirafuji, T.: Phys. Rev. D 19, 3524 (1979)
Hehl, F.W., MacCrea, J.D., Mielke, E.W., Ne’eman, Y.: Phys. Rep. 258, 1 (1995)
Itin, Y.: J. Math. Phys. 46, 012501 (2005)
Kawai, T.: Phys. Rev. D 49, 2862 (1994)
Leclerc, M.: Phys. Rev. D 71, 027503 (2005)
Maluf, J.W.: J. Math. Phys. 35, 335 (1994)
Maluf, J.W., da Rocha-neto, J.F., Toribio, T.M.L., Castello-Branco, K.H.: Phys. Rev. D 65, 124001 (2002)
Maluf, J.W., Faria, F.F., Ulhoa, S.C.: Class. Quantum Gravity 24, 2743 (2007)
Maluf, J.W., Veiga, M.V.O., da Rocha-neto, J.F.: Gen. Relativ. Gravit. 39, 227 (2007)
Maluf, J.W., Ulhoa, S.C., Faria, F.F., da Rocha-Neto, J.F.: Class. Quantum Gravity 23, 6245 (2006)
Mikhail, F.I., Wanas, M.I., Hindawi, A., Lashin, E.I.: Int. J. Theor. Phys. 32, 1627 (1993)
Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation. Freeman, San Francisco (1973)
Møller, C.: Mat. Fys. Medd. Dan. Vid. Selsk. 1, 10 (1961b)
Møller, C.: Mat. Fys. Medd. Dan. Vid. Selsk. 39, 13 (1978)
Nashed, G.G.L.: Eur. Phys. J. A C 49, 851 (2007)
Nashed, G.G.L.: Gen. Relativ. Gravit. 34, 1047 (2002)
Obukhov, Yu.N., Pereira, J.G.: Phys. Rev. D 67, 044016 (2003)
Robertson, H.P.: Ann. Math. 33, 496 (1932)
Sharif, M., Jamil, A.M.: Mod. Phys. Lett. A 23, 963 (2008)
Shirafuji, T., Nashed, G.G.L., Hayashi, K.: Prog. Theor. Phys. 95, 665 (1996)
Szabados, L.B.: Quasi-local energy-momentum and angular momentum in GR: A review article. Living Rev. Relativ. 7, 4 (2004). http://www.livingreviews.org/lrr-2004-4
Tung, R.S., Nester, J.M.: Phys. Rev. D 60, 021501 (1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nashed, G.G.L. Killing vectors of Schwarzschild space-times in teleparallel equivalent of general relativity. Astrophys Space Sci 333, 317–325 (2011). https://doi.org/10.1007/s10509-011-0610-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-011-0610-4