Chin. Phys. Lett.  2007, Vol. 24 Issue (7): 1821-1824    DOI:
Original Articles |
Moller Energy--Momentum Complex in General Relativity for Higher Dimensional Universes
M. Aygun1;S. Aygun1;.I.Yilmaz1;H. Baysal2;.I. Tarhan1
1Department of Physics, Art and Science Faculty, Canakkale Onsekiz Mart University, 17020 Canakkale, Turkey2Department of Secondary Science and Mathematics Education, Facultyof Education,Canakkale Onsekiz Mart University, 17100 Canakkale, Turkey
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M. Aygun, S. Aygun, .I.Yilmaz et al  2007 Chin. Phys. Lett. 24 1821-1824
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Abstract Using the Moller energy--momentum definition in general relativity
(GR) we calculate the total energy--momentum distribution associated with (n+2)-dimensional homogeneous and isotropic model of the universe. It is found that total energy of Moller is vanishing in (n+2) dimensions everywhere but n-momentum components of Moller in (n+2) dimensions are different from zero. Also, we evaluate the static Einstein Universe, FRW universe and de Sitter universe in four dimensions by using (n+2)-type metric, then calculate the Moller energy--momentum distribution of these spacetimes. However, our results are consistent with the results of Banerjee and Sen, Xulu, Radinschi,
Vargas, Cooperstock-Israelit, Aygun et al., Rosen, and Johri et al. in four dimensions.
Keywords: 04.20.Cv      04.20.+q      04.50.+h     
Received: 01 February 2007      Published: 25 June 2007
PACS:  04.20.Cv (Fundamental problems and general formalism)  
  04.20.+q  
  04.50.+h  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I7/01821
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M. Aygun
S. Aygun
.I.Yilmaz
H. Baysal
.I. Tarhan
[1] Einstein A 1915 Preuss. Akad. Wiss. Berlin 47 778
[2] Tolman R C 1934 Relativity, Thermodynamics andCosmology (Oxford: Oxford University Press) p 227
[3] Papapetrou A 1948 Proc. R. Ir. Acad. A 52 11
[4] Landau L D and Lifshitz E M 1951 The Classical Theory ofFields (Reading, MA: Addison-Wesley)
[5] Bergmann P G and Thomson R 1953 Phys. Rev. 89 400
[6] Goldberg J N 1959 Phys. Rev. 111 315
[7] Weinberg S 1972 Gravitation and Cosmology: Principlesand Applications of General Theory of Relativity (New York: Wiley)
[8] M{\oller C 1958 Ann. Phys. $($N. Y.$)$ 4 347
[9] Xulu S S 2000 Mod. Phys. Lett. A 15 1511 Xulu S S PhD Thesis hep-th/0308070 Xulu S S 2003 Astrophys. Space. Sci. 283 23 Vagenas E C 2004 Mod. Phys. Lett. A 19 213 Gad R 2005 Astrophys. Space Sci. 295 459
[10] Radinschi I 2000 Fizika B 9 203 Radinschi I 2000 Mod. Phys. Lett. A 15 2171 Radinschi I 2001 Chin. J. Phys. 39 231 Radinschi I 2001 Mod. Phys. Lett. A 16 673
[11] Lessner G 1996 Gen. Rel. Grav. 28 527
[12] Virbhadra K S 1999 Phys. Rev. D 60 104041
[13] Virbhadra K S 1990 Phys. Rev. D 41 1086 Virbhadra K S 1990 Phys. Rev. D 42 2919 Rosen N and Virbhadra K S 1993 Gen. Rel. Grav. 25 429 Virbhadra K S 1995 Pramana J. Phys. 45 215 Vagenas E C 2003 Int. J. Mod. Phys. A 18 5949 Sharif M 2004 Nuovo Cimento B 19 463 Sharif M 2004 Int. J. Mod. Phys. D 13 1019 Gad R 2004 Mod. Phys. Lett. A 19 1847
[14] Rosen N 1995 Gen. Rel. Grav. 26 323
[15] Johri J B, Kalligas D, Singh G P and Everitt C W F 1995 Gen. Rel. Grav. 27 323
[16] Banerjee N and Sen S 1997 Pramana J. Phys. 49 609
[17] Albrow M G 1973 Nature 241 56
[18] Tryon E P 1973 Nature 246 396
[19] Cooperstock F I 1994 Gen. Rel. Gravit. 26 323 Cooperstock F I and Israelit M 1995 Fond. Phys. 25 631
[20] Aydogdu O 2006 Int. J. Mod. Phys. A 21 3845 Aydogdu O 2006 Int. J. Mod. Phys. D 15 459 Aydogdu O 2006 Fortschritte der Physik 54 246 Salt{\i M and Havare A 2005 Int. J. Mod. Phys. A 20 2169 Salt{\i M 2005 Astrophys. Space Sci. 299 159 Aydogdu O, Salt{\i M and Korunur M 2005 Acta Phys. Slov. 55 537
[21] Vargas T 2004 Gen. Rel. Gravit. 36 1255
[22] Ayg\"{un S, Ayg\"{un M and Tarhan \.I 2007 Pramana J.Phys. 68 21
[23] Ayg\"{un S, Baysal H and Tarhan \.I 2007 in press: Int. J. Theor. Phys. DOI:10.1007/s10773-007-9375-5
[24] Vagenas E C 2003 Int. J. Mod. Phys A 18 5949 Vagenas E C 2003 Int. J. Mod. Phys. A 18 5781 Vagenas E C 2005 Int. J. Mod. Phys. D 14 573 Grammenos Th 2005 Mod. Phys. Lett. A 20 1741 Radinschi I and Grammenos Th 2006 Int. J. Mod. Phys. A 21 2853
[25] Lessner G 1996 Gen. Rel. Grav. 28 527
[26] Chodos A and Detweiler S 1980 Phys. Rev. D 21 2167
[27] Marciano W J 1984 Phys. Rev. Lett. 52 489
[28] Sahdev D 1984 Phys. Rev. D30 2495
[29] Emelyanov V M, Nikitin Yu P, Rozental J L and Berkov A V 1986 Phys. Rep. 143 1
[30] Chatterjee S and Bhui B 1993 Int. J. Theor. Phys. 32 671
[31] Overduin J M and Wesson P S 1987 Phys. Rep. 283 303
[32] Misner C W, Thorne K S and Wheeler J A 1973 Gravitation (New York: Freeman)
[33] Cooperstock F I and Sarracino R S 1978 J. Phys. A: Math. Gen. 11 877
[34] Ayg\"{un S, Tarhan \.I and Baysal H 2007 Chin. Phys.Lett. 24 355
[35] Ayg\"{un S 2007 Acta Phys. Pol. B 38 73
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