Cylindrically Symmetric Solution in Teleparallel Theory
Gamal G. L. Nashed1,2
1Centre for Theoretical Physics, The British University in Egypt, El-Sherouk City, Misr-Ismalia Desert Road, Postal No 11837, PO Box 43, Egypt 2Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
Cylindrically Symmetric Solution in Teleparallel Theory
Gamal G. L. Nashed1,2
1Centre for Theoretical Physics, The British University in Egypt, El-Sherouk City, Misr-Ismalia Desert Road, Postal No 11837, PO Box 43, Egypt 2Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
摘要The field equations of a special class of teleparallel theory of gravitation and electromagnetic fields are applied to tetrad space having cylindrical symmetry with four unknown functions of radial coordinate r and azimuth angle θ. The vacuum stress−energy momentum tensor with one assumption concerning its specific form generates one non-trivial exact analytic solution. This solution is characterized by a constant magnetic field parameter B0. If B0=0, then the solution will reduce to the flat spacetime. The energy content is calculated using the superpotential given by Møller in the framework of teleparallel geometry. The energy contained in a sphere is found to be different from the pervious results
Abstract：The field equations of a special class of teleparallel theory of gravitation and electromagnetic fields are applied to tetrad space having cylindrical symmetry with four unknown functions of radial coordinate r and azimuth angle θ. The vacuum stress−energy momentum tensor with one assumption concerning its specific form generates one non-trivial exact analytic solution. This solution is characterized by a constant magnetic field parameter B0. If B0=0, then the solution will reduce to the flat spacetime. The energy content is calculated using the superpotential given by Møller in the framework of teleparallel geometry. The energy contained in a sphere is found to be different from the pervious results
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
引用本文:
Gamal G. L. Nashed;
. Cylindrically Symmetric Solution in Teleparallel Theory[J]. 中国物理快报, 2010, 27(10): 100401-100401.
Gamal G. L. Nashed,
. Cylindrically Symmetric Solution in Teleparallel Theory. Chin. Phys. Lett., 2010, 27(10): 100401-100401.
[1] Hayashi K and Shirafuji T 1979 Phys. Rev. D 19 3524
[2] de Andrade V C and Pereira J G 1997 Phys. Rev. D 56 4689
[3] Kopezyński W 1982 J. Phys. A 15 493
[4] Maluf J Ulhoa W S C, Faria F F and da Rocha-Neto J F 2006 Calss. Quant. Grav. 23 6245
[5] Nashed G G L 2007 Mod. Phys. Lett. A 22 1047
[6] Nashed G G L 2006 Int. J. Mod. Phys. A 21 3181
[7] Nester J M 1988 Class. Quantum Grav. 5 1003
[8] Weitzenböck R 1923 Invariantentheorie (Noordhoff, Groningen)
[9] Møller C 1962 Tetrad Fields and Conservation Laws in General Relativity; Proceedings of the International School of Physics ``Enrico Fermi'' ed Mø ller C (London: Academic)
Møller C 1962 Conservation Laws in the Tetrad Theory of Gravitation; Proceedings of the Conference on the Theory of Gravtion ed Warszawa and Jablonna (Gauthier-Villars, Paris and PWN-Polish Scientific Publishers, Warszawa, 1964) (NORDITA Publicatiobns) No 136
[10] Maluf J W, da Rocha-neto J F, Toribio T M L and Castello-Branco K H 2002 Phys. Rev. D 65 124001
[11] Babak S V and Grishchuk L P 1999 Phys. Rev. D 61 024038.
[12] da Rocha-Neto J F and Castello-Branco K H 2003 J. High Energy Phys. 0311 002
[13] Misner C W, Thorn K S and Wheller J A 1973 Gravitation (Freeman, San Francisco).
[14] Landau L D and Lifshitz E M 1980 The Classical Theory o Fields (Oxford: Pergamon)
[15] Brown J D and York Jr. J W 1993 Phys. Rev. D 47 1407
[16] Mikhail F I, Wanas M I, Hindawi A and Lashin E I 1993 Int. J. Theor. Phys. 32 1627
[17] Vargas T 2004 Gen. Rel. Grav. 36 1255
[18] Møller C 1978 Mat. Fys. Medd. Dan. Vid. Selsk. 39 13
[19] Hayashi K and Nakano T 1967 Prog. Theor. Phys. 38 491
[20] Kawai T and Toma N 1992 Prog. Theor. Phys. 87 583
[21] Melvin M A 1964 Phys. Lett. 8 65
[22] Møller C 1958 Ann. Phys. 4 347
[23] Melvin M A 1965 Phys. Rev. B 139 225
[24] Radinschi I and I-Ching Yang 2005 Fizika B 14 311
[25] Xulu S S 2000 Int. J. Mod. Phys. A 15 2979
Xulu S S 2000 Int. J. Mod. Phys. A 15 4849
[26] Møller C 1961 Mat. Fys. Medd. Dan. Vid. Selsk. 1 10
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