Gravitational radiation fields in teleparallel equivalent of general relativity and their energies

doi:10.1088/1674-1056/19/11/110402

中国物理B ›› 2010, Vol. 19 ›› Issue (11): 110402-110506.doi: 10.1088/1674-1056/19/11/110402

Gravitational radiation fields in teleparallel equivalent of general relativity and their energies

Gamal G.L. Nashed

Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt Centre for Theoretical Physics, The British University in Egypt, El-Sherouk City,Misr - Ismalia Desert Road, Postal No. 11837, Egypt

收稿日期:2010-01-26 修回日期:2010-05-25 出版日期:2010-11-15 发布日期:2010-11-15

Gravitational radiation fields in teleparallel equivalent of general relativity and their energies

Gamal G.L. Nashed^†

Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt Centre for Theoretical Physics, The British University in Egypt, El-Sherouk City,Misr - Ismalia Desert Road, Postal No. 11837, Egypt

Received:2010-01-26 Revised:2010-05-25 Online:2010-11-15 Published:2010-11-15

摘要/Abstract

摘要： We derive two new retarded solutions in the teleparallel theory equivalent to general relativity (TEGR). One of these solutions gives a divergent energy. Therefore, we use the regularized expression of the gravitational energy--momentum tensor, which is a coordinate dependent. A detailed analysis of the loss of the mass of Bondi space--time is carried out using the flux of the gravitational energy--momentum.

Abstract: We derive two new retarded solutions in the teleparallel theory equivalent to general relativity (TEGR). One of these solutions gives a divergent energy. Therefore, we use the regularized expression of the gravitational energy–momentum tensor, which is a coordinate dependent. A detailed analysis of the loss of the mass of Bondi space–time is carried out using the flux of the gravitational energy–momentum.

Key words: teleparallel equivalent of general relativity, energy–momentum tensor, Bondi mass, gravitational radiation

中图分类号: (Spacetime topology, causal structure, spinor structure)

04.20.Gz

04.30.-w (Gravitational waves)

Gamal G.L. Nashed. Gravitational radiation fields in teleparallel equivalent of general relativity and their energies[J]. 中国物理B, 2010, 19(11): 110402-110506.

Gamal G.L. Nashed. Gravitational radiation fields in teleparallel equivalent of general relativity and their energies[J]. Chin. Phys. B, 2010, 19(11): 110402-110506.

参考文献 38

[1]	Shirafuji T and Nashed G G L 1997 Prog. Theor. Phys. 98 1355.
[2]	Bondi H, van der Burg M G J and Metzner A W K 1962 Proc. R. Soc. Londen, Ser. A 269 21
[3]	Bondi H 1990 Proc. R. Soc. Lond. A 427 249
[4]	Arnowitt R, Deser S and Misner C W in: Witten L (editor) 1962 it Gravitation: An Introduction to Current Research (New York: Wiley)
[5]	Ort'hin T 2004 `Gravity and Strings' (Cambridge: Cambridge University Press) p166
[6]	Mo ller C 1962 Tetrad Fields and Conservation Laws in General Relativity, Proceedings of the International School of Physics nrico Fermi edited by C. Mo ller (Academic Press, London, 1962); Conservation Laws in the Tetrad Theory of Gravitation, Proceedings of the Conference on Theory of Gravitation, Warszawa and Jablonna 1962 (Gauthier-Villars, Paris, and PWN-Polish Scientific Publishers, Warszawa, 1964) (NORDITA Publications No. 136)
[7]	Pellegrini C and Pleba'nski J 1963 Mat. Fys. Scr. Dan. Vid. Selsk. 2 no.4
[8]	Hehl F W in: Bergmann P G and de Sabbata V (editors) Proceedings of the 6th School of Cosmology and Gravitation on Spin, Torsion, Rotation and Supergravity, Erice, 1979
[9]	Hehl F W, Neeman Y, Nitsch J and von der Heyde P 1978 Phys. Lett. B 78
[10]	Hehl F W, McCrea J D, Mielke E W and Neman Y 1995 Phys. Rep. 258 1
[11]	Baekler P and Hehl F W 2006 Int. J. Mod. Phys. D 15 635
[12]	Chang C C, Nester J M and Chen C M 1999 it Phys. Rev. Lett. 83 1897
[13]	Tung R S and Nester J M 1999 Phys. Rev. D 60 021501
[14]	Nester J M and Yo Chin H J 1999 J. Phys. 37 113
[15]	Nester J M, Ho F H and Chen C M 2003 Quasilocal Center-of-Mass for Teleparallel Gravity, Proceeding of the 10th. Marcel Grossman Meeting (Rio de Janeiro) gr-qc/0403101
[16]	Nester J M 1989 Phys. Lett. A 139 112
[17]	Nester J M 1992 J. Math. Phys. 33 910
[18]	Nester J M 1988 Class. Quantum Grav. 5 1003.
[19]	Nester J M, de Andrade V C and Pereira J G 1997 Phys. Rev. D56 4689
[20]	Nester J M, de Andrade V C, Guillen L C T and Pereira J G 2000 Phys. Rev. Lett. 84 4533
[21]	Nester J M, de Andrade V C, Guillen L C T and Pereira J G 2001 Phys. Rev. D 64 027502
[22]	Hayashi K 1977 Phys. Lett. 69B 441
[23]	Hayashi K and Shirafuji T 1979 Phys. Rev. D 19 3524
[24]	Hayashi K and Shirafuji T 1981 Phys. Rev. D 24 3312
[25]	Blagojeviacutec M and Vasiliacutec M 1988 Class. Quant. Grav. 5 1241
[26]	Kawai T 2000 Phys. Rev. D 62 104014
[27]	Kawai T, Shibata K and Tanaka I 2000 Prog. Theor. Phys. 104 505
[28]	Maluf J W 1994 J. Math. Phys. 35 335
[29]	Maluf J W and Kneip A 1997 J. Math. Phys. 38 458
[30]	Maluf J W and da Rocha-Neto J F 1999 J. Math. Phys. 40 1490
[31]	Maluf J W and Goya A 2001 Class. Quant. Grav. 18 5143
[32]	Maluf J W, da Rocha-Neto J F, Toribio T M L and Castello-Branco K H 2002 Phys. Rev. D 65 124001
[33]	Sousa A A and Maluf J W 2002 Prog. Theor. Phys. 108 457
[34]	Maluf J W, Veiga M V O and da Rocha-Neto J F 2007 Gen. Rel. Grav. 39 227
[35]	Dirac P M A 1964 Lectures on Quantum Mechanics (Belfer Gradute School of Science Monographs Series No. 2) (New York: Yeshiva University)
[36]	Maluf J W and da Rocha-Neto J F 2001 Phy. Rev. D 64 084014
[37]	Maluf J W and Faria F F 2004 Ann. Phys. Leipzig 13 604
[38]	Zhang X 2006 Adv., Theor., Math. , Phys. 10 261

Gravitational radiation fields in teleparallel equivalent of general relativity and their energies

Gravitational radiation fields in teleparallel equivalent of general relativity and their energies

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 38

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	辜英求. The series solution to the metric of stationary vacuum with axisymmetry[J]. 中国物理B, 2010, 19(3): 30402-030402.
[2]	Gamal G.L. Nashed. Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum[J]. 中国物理B, 2010, 19(2): 20401-020401.
[3]	崔晶磊, 张莉, 张敬飞, 张鑫. New agegraphic dark energy as a rolling tachyon[J]. 中国物理B, 2010, 19(1): 19802-019802.
[4]	覃一平. A cosmological model with negative energy photons[J]. 中国物理B, 2010, 19(1): 19803-019803.
[5]	龚添喜, 王永久. Orbital effect in the stationary axisymmetric field[J]. 中国物理B, 2008, 17(7): 2356-2360.
[6]	陈菊华, 王永久. Influence of dark energy on time-like geodesic motion in Schwarzschild spacetime[J]. 中国物理B, 2008, 17(4): 1184-1188.
[7]	鲁重贤. The bending of light ray and unphysical solutions in general relativity[J]. 中国物理B, 2004, 13(2): 159-167.
[8]	杨荣佳, 荆继良. Newtonian forms for the motion of particles and photons in dilaton spacetime[J]. 中国物理B, 2004, 13(5): 612-617.
[9]	黄秀菊, 王永久. Mass neutrino oscillations in Reissner－Nordstrom space－time[J]. 中国物理B, 2004, 13(9): 1588-1590.
[10]	杨树政, 林理彬. The quantum nonthermal effect of a nonstationary Kerr－Newman black hole and the average range of the effective particles[J]. 中国物理B, 2002, 11(6): 619-623.
[11]	谢实崇, 杨雪特, 杨树政, 林理彬. NON-THERMAL RADIATION FROM A NON-KERR－NEWMAN BLACK HOLE[J]. 中国物理B, 2001, 10(10): 979-982.
[12]	杨树政, 林理彬. NEW KINDS OF DIRAC ENERGY LEVELS AND THEIR CROSSING REGIONS[J]. 中国物理B, 2001, 10(11): 1066-1070.
[13]	刘泽文, 朱镇龙, 孟祥君. THE RELATIVISTIC COVARIANCE OF ONNES EQUATION[J]. 中国物理B, 2000, 9(4): 241-243.
[14]	王永成. ROTATING RINDLER SPACE TIME WITH CONSTANT ANGULAR VELOCITY[J]. 中国物理B, 2000, 9(5): 329-332.
[15]	唐智明. A POSSIBLE EXPERIMENTAL TEST ON THE GRAVITATION THEORY OF COMPLEX FIELD[J]. 中国物理B, 2000, 9(12): 881-884.