Energy, momentum and angular momentum in the dyadosphere of a charged spacetime in teleparallel equivalent of general relativity

doi:10.1088/1674-1056/21/3/030401

中国物理B ›› 2012, Vol. 21 ›› Issue (3): 30401-030401.doi: 10.1088/1674-1056/21/3/030401

Gamal G.L. Nashed

收稿日期:2011-07-21 修回日期:2011-09-28 出版日期:2012-02-15 发布日期:2012-02-15
通讯作者: Gamal G.L. Nashed,nashed@bue.edu.eg E-mail:nashed@bue.edu.eg

Energy, momentum and angular momentum in the dyadosphere of a charged spacetime in teleparallel equivalent of general relativity

Gamal G.L. Nashed^†

Department of Mathematics, Faculty of Science, King Faisal University, Al-Ahsa, 31982, Saudi Arabia; Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt; Centre for Theoretical Physics, The British University in Egypt, El-Sherouk City 11837, Egypt

Received:2011-07-21 Revised:2011-09-28 Online:2012-02-15 Published:2012-02-15
Contact: Gamal G.L. Nashed,nashed@bue.edu.eg E-mail:nashed@bue.edu.eg

摘要/Abstract

Abstract: We apply the energy momentum and angular momentum tensor to a tetrad field, with two unknown functions of radial coordinate, in the framework of a teleparallel equivalent of general relativity (TEGR). The definition of the gravitational energy is used to investigate the energy within the external event horizon of the dyadosphere region for the Reissner-Nordström black hole. We also calculate the spatial momentum and angular momentum.

Key words: Teleparallel equivalent of general relativity, energy-momentum tensor, angular momentum tensor, angular momentum

中图分类号: (Classical general relativity)

04.20.-q

04.20.Cv (Fundamental problems and general formalism) 04.20.Jb (Exact solutions) 04.50.Kd (Modified theories of gravity)

Gamal G.L. Nashed. [J]. 中国物理B, 2012, 21(3): 30401-030401.

Gamal G.L. Nashed . Energy, momentum and angular momentum in the dyadosphere of a charged spacetime in teleparallel equivalent of general relativity[J]. Chin. Phys. B, 2012, 21(3): 30401-030401.

参考文献 45

[1]	Misner C W, Thorne K S and Wheeler J A 1973 it Gravitation (San Francisco: Freeman)
[2]	Shirauji T, Nashed G G L and Kobayashi Y 1996 Prog. Theor. Phys. 96 933
[3]	Kawai T, Shibata K and Tanaka I 2000 Prog. Theor. Phys. 104 505
[4]	Bozhkov Y and Rodrigues W A 1995 Gen. Rel. Gravt. 27 813
[5]	Itin Y 2002 Class. Quant. Grav. 19 173
[6]	Itin Y 2005 J. Math. Phys. 46 012501
[7]	Hehl F W, Neeman Y, Nitsch J and von der Heyde P 1978 Phys. Lett. B 78 102
[8]	Hehl F W 1979 it Proceedings of the 6th. Course on Spin, Torsion and Supergravity Eric, Italy (New York: Plenum) p. 5
[9]	Kawai T 1994 Phys. Rev. D 49 2862
[10]	Kawai T 2000 Phys. Rev. D 62 104014
[11]	Blagojevi'c M and Vasili'c M 2000 Class. Quant. Grav. 17 3785
[12]	Blagojevi'c M and Nikoli'c I A 2000 Phys. Rev. D 62 024021
[13]	Hehl F W, MacCrea J D, Mielke E W and Ne閙an Y 1995 Phys. Rep. 258 1
[14]	Hayashi K and Shirafuji T 1979 Phys. Rev. D 19 3524
[15]	Nitsch J and Hehl F W 1980 Phys. Lett. B 90 98
[16]	Leclerc M 2005 Phys. Rev. D 71 027503
[17]	Mielke E W 2004 Phys. Rev. D 69 128501
[18]	Obukhov Y N and Pereira J G 2004 Phys. Rev. D 69 128502
[19]	Obukhov Y N and Pereira J G 2003 Phys. Rev. D 67 044016
[20]	Mielke E W 1990 Phys. Rev. D 42 3388
[21]	Tung R S and Nester J M 1999 Phys. Rev. D 60 021501
[22]	Maluf J W 1994 J. Math. Phys. 35 335
[23]	Maluf J W, da Rocha-neto J F, Toribio T M L and Castello-Branco K H 2002 Phys. Rev. D 65 124001
[24]	Mo ller C 1961 Ann. Phys. 12 118
[25]	Mo ller C 1961 Mat. Fys. Medd. Dan. Vid. Selsk. 1 10
[26]	Mo ller C 1964 Nucl. Phys. 57 330
[27]	Mo ller C 1978 Mat. Fys. Medd. Dan. Vid. Selsk. 39 13
[28]	Bergqvist G 1992 Class. Quant. Grav. 9 1753
[29]	Christodoulou D 1970 Phys. Rev. Lett. 25 1596
[30]	Ruffini R 1998 XLIX Yamada Conference on Black Holes and Highenergy Astrophysics (Tokyo: Univ. Acad. Press)
[31]	Preparata G, Ruffini R and Wue S S 1998 A & A L 87 338
[32]	de Lorenci A V, Figueredo N, Fliche H H and Novello M 2000 Phys. Lett. B 482 134
[33]	Maluf J W, Veiga M V O and da Rocha-neto J F 2007 Gen. Relat. Grav. 39 227
[34]	Kawai T and Toma N 1992 Prog. Theor. Phys. 87 583
[35]	Robertson H P 1932 Ann. Math. 33 496
[36]	Nashed G G L 2002 Gen. Relat. Grav. 34 1047
[37]	Nashed G G L and Shirafuji T 2007 Int. J. Mod. Phys. D 16 65
[38]	Dirac P A M 1964 Lectures on Quantum Mechanics Belfer Gradute School of Science (Monographs Series No. 2 (New York: Yeshiva University)
[39]	Maluf J W and da Rocha-Neto J F 2001 Phy. Rev. D 64 084014
[40]	Landau L D and Lifshitz E M 1980 The Classical Theory of Fields (Oxford: Pergamon Press)
[41]	Maluf J W, Ulhoa S C, Faria F F and da Rocha-Neto J F 2006 Calss. Quant. Grav. 23 6245
[42]	Arnowitt R, Deser S and Misner C W 1962 it Gravitation: An Introduction to Current Research (New York: Wiley)
[43]	Nashed G G L 2006 Mod. Phys. Lett. A 21 2241
[44]	Szabados L B 2004 it Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article Living Rev. Relativity 7, 4. http://www.livingreviews.org/lrr-2004-4.
[45]	Xulu S S arXive: gr-qc/0304081

Energy, momentum and angular momentum in the dyadosphere of a charged spacetime in teleparallel equivalent of general relativity

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