Abstract
Møller’s energy-momentum complex is employed in order to determine the energy and momentum distributions for a spacetime described by a “generalized Schwarzschild” geometry in (3+1)-dimensions on a noncommutative curved D3-brane in an effective, open bosonic string theory. The geometry considered is obtained by an effective theory of gravity coupled with a nonlinear electromagnetic field and depends only on the generalized (effective) mass and charge which incorporate corrections of first order in the noncommutativity parameter.
This is a preview of subscription content, access via your institution.
References
Einstein, A.: Preuss. Akad. Wiss. Berlin 47, 778 (1915). Addendum: Preuss. Akad. Wiss. Berlin 47, 799 (1915)
Tolman, R.C.: In: Relativity, Thermodynamics and Cosmology, p. 227. Oxford University Press, London (1934)
Papapetrou, A.: Proc. R. Ir. Acad. A 52, 11 (1948)
Landau, L.D., Lifshitz, E.M.: In: The Classical Theory of Fields, p. 317. Addison-Wesley, Reading (1951)
Bergmann, P.G., Thomson, R.: Phys. Rev. 89, 400 (1953)
Goldberg, J.N.: Phys. Rev. 111, 315 (1958)
Møller, C.: Ann. Phys. (NY) 4, 347 (1958)
Weinberg, S.: In: Gravitation and Cosmology: Principles and Applications of General Theory of Relativity, p. 165. Wiley, New York (1972)
Chandrasekhar, S., Ferrari, V.: Proc. R. Soc. Lond. A 435, 645 (1991)
Bergqvist, G.: Class. Quantum Gravity 9, 1753 (1992)
Bergqvist, G.: Class. Quantum Gravity 9, 1917 (1992)
Chen, C.M., Nester, J.M.: Class. Quantum Gravity 16, 1279 (1999)
Misner, C.W., Thorne, K.S., Wheeler, J.A.: In: Gravitation, p. 467. Freeman, New York (1973). See also p. 603
Cooperstock, F.I., Sarracino, R.S.: J. Phys. A: Math. Gen. 11, 877 (1978)
Bondi, H.: Proc. R. Soc. Lond. A 427, 249 (1990)
Brown, J.D., York, J.W.: Phys. Rev. D 47, 1407 (1993)
Hayward, S.A.: Phys. Rev. D 49, 831 (1994)
Komar, A.: Phys. Rev. 113, 934 (1959)
Brown, J.D., Lau, S.R., York, J.W.: Phys. Rev. D 55, 1977 (1997)
Yau, S.-T.: Adv. Theor. Math. Phys. 5, 755 (2001)
Liu, C.-C.M., Yau, S.-T.: Phys. Rev. Lett. 90, 231102 (2003)
Senovilla, J.M.M.: Class. Quantum Gravity 17, 2799 (2000)
Bel, L.: Comm. Math. Phys. 138, 59 (1962)
Robinson, I.: Class. Quantum Gravity 14, A331 (1997)
Bonilla, M.A.G., Senovilla, J.M.M.: Phys. Rev. Lett. 11, 783 (1997)
Bonilla, M.A.G., Senovilla, J.M.M.: Gen. Relativ. Gravit. 29, 91 (1997)
Senovilla, J.M.M.: In: Martin, J., Ruiz, E., Atrio, F., Molina, A. (eds.) Gravitation and Relativity in General. World Scientific (1999). gr-qc/9901019
Senovilla, J.M.M.: gr-qc/9912050 (1999)
Teyssandier, P.: gr-qc/9905080 (1999)
Garecki, J.: Ann. Phys. 10, 911 (2001)
Dabrowski, M.P., Garecki, J.: Class. Quantum Gravity 19, 1 (2002)
Lazkog, R., Senovilla, J.M.M., Vera, R.: Class. Quantum Gravity 20, 4135 (2003)
Garecki, J.: Class. Quantum Gravity 22, 4051 (2005)
Senovilla, J.M.M.: Class. Quantum Gravity 23, 7143 (2006)
Saha, B., Rikhvitsky, V.: Mod. Phys. Lett. A 21, 847 (2006)
Virbhadra, K.S.: Phys. Rev. D 41, 1086 (1990)
Virbhadra, K.S.: Phys. Rev. D 42, 1066 (1990)
Virbhadra, K.S.: Phys. Rev. D 42, 2919 (1990)
Virbhadra, K.S.: Pramana J. Phys. 38, 31 (1992)
Virbhadra, K.S.: Pramana J. Phys. 45, 215 (1995)
Virbhadra, K.S.: Phys. Rev. D 60, 104041 (1999)
Rosen, N., Virbhadra, K.S.: Gen. Relativ. Gravit. 25, 429 (1993)
Virbhadra, K.S., Parikh, J.C.: Phys. Lett. B 317, 312 (1993)
Virbhadra, K.S., Parikh, J.C.: Phys. Lett. B 331, 302 (1994). Erratum: Phys. Lett. B 340, 265 (1994)
Chamorro, A., Virbhadra, K.S.: Pramana J. Phys. 45, 181 (1995)
Chamorro, A., Virbhadra, K.S.: Int. J. Mod. Phys. D 5, 251 (1997)
Garecki, J.: Class. Quantum Gravity 22, 4051 (2005)
Aydogdu, O.: Int. J. Mod. Phys. D 15, 459 (2006)
Sharif, M., Fatima, T.: Nuovo Cimento B 120, 533 (2005)
Salti, M.: Nuovo Cimento B 120, 53 (2005)
Gad, R.M.: Gen. Relativ. Gravit. 38, 417 (2006)
Gad, R.M.: Nuovo Cimento B 121, 161 (2006)
Radinschi, I., Ciobanu, B.: Rom. J. Phys. 50, 1223 (2005)
Ciobanu, B., Radinschi, I.: Rom. J. Phys. 51, 1003 (2006)
Radinschi, I., Ciobanu, B.: AIP Conf. Proc. 895, 329 (2007). gr-qc/0608029
Radinschi, I.: Acta Phys. Slovaca 49, 789 (1999)
Radinschi, I.: Acta Phys. Slovaca 50, 609 (2000)
Radinschi, I.: Fizika B 9, 43 (2000)
Radinschi, I.: Nuovo Cimento B 115, 501 (2000)
Radinschi, I.: Chin. J. Phys. 39, 231 (2001)
Yang, I.-C., Radinschi, I.: Chin. J. Phys. 41, 326 (2003)
Yang, I.-C.: Chin. J. Phys. 38, 1040 (2000)
Halpern, P.: gr-qc/0705.0720 (2007)
Halpern, P.: Mod. Phys. Lett. A 21, 495 (2006)
Halpern, P.: Astrophys. Space Sci. 306, 279 (2006)
Aydogdu, O.: Fortschr. Phys. 54, 246 (2006)
Aydogdu, O., Salti, M.: Prog. Theor. Phys. 115, 63 (2006)
Salti, M., Havare, A.: gr-qc/0502058 (2005)
Gad, R.M.: Astrophys. Space Sci 295, 451 (2005)
Gad, R.M.: Mod. Phys. Lett. A 19, 1847 (2004)
Gad, R.M.: Gen. Relativ. Gravit. 38, 417 (2006)
Patashnick, O.: Int. J. Mod. Phys. D 14, 1607 (2005)
Xulu, S.S.: gr-qc/0702066 (2007)
Xulu, S.S.: Int. J. Mod. Phys. A 15, 2979 (2000)
Xulu, S.S.: Int. J. Theor. Phys. 39, 1153 (2000)
Xulu, S.S.: Int. J. Mod. Phys. A 15, 4849 (2000)
Aguirregabiria, J.M., Chamorro, A., Virbhadra, K.S.: Gen. Relativ. Gravit. 28, 1393 (1996)
Penrose, R.: Proc. R. Soc. Lond. A 381, 53 (1982)
Tod, K.P.: Proc. R. Soc. Lond. A 388, 457 (1983)
Chang, C.C., Nester, J.M., Chen, C.M.: Phys. Rev. Lett. 83, 1897 (1999)
Chen, C.M., Liu, J.L., Nester, J.M.: gr-qc/0705.1080 (2007)
Vagenas, E.C.: Int. J. Mod. Phys. A 18, 5949 (2003)
Vagenas, E.C.: Int. J. Mod. Phys. A 18, 5781 (2003)
Vagenas, E.C.: J. High Energy Phys. 0307, 046 (2003)
Yang, I.-C., Radinschi, I.: AIP Conf. Proc. 895, 325 (2007). gr-qc/0309130
Vagenas, E.C.: Int. J. Mod. Phys. D 14, 573 (2005)
Grammenos, T.: Mod. Phys. Lett. A 20, 1741 (2005)
Radinschi, I., Grammenos, T.: Int. J. Mod. Phys. A 21, 2853 (2006)
Radinschi, I., Yang, I.-C.: gr-qc/0702105 (2007)
Nashed, G.G.L.: Phys. Rev. D 66, 064015 (2002)
Nashed, G.G.L.: Nuovo Cimento B 117, 521 (2002)
Nashed, G.G.L.: Mod. Phys. Lett. A 22, 1047 (2007)
Salti, M., Havare, A.: Int. J. Mod. Phys. A 20, 2169 (2005)
Salti, M.: Mod. Phys. Lett. A 20, 2175 (2005)
Salti, M.: Acta Phys. Slovaca 55, 563 (2005)
Salti, M.: gr-qc/0607116 (2006)
Salti, M.: Astrophys. Space Sci.. gr-qc/0607011 (2006, to appear)
Salti, M.: Int. J. Mod. Phys. D 15, 695 (2006)
Aydogdu, O., Salti, M.: Astrophys. Space Sci. 302, 61 (2006)
Aydogdu, O., Salti, M.: Astrophys. Space Sci. 299, 227 (2005)
Aydogdu, O., Salti, M.: gr-qc/0602012 (2006)
Aydogdu, O., Salti, M., Korunur, M.: Acta Phys. Slovaca 55, 537 (2005)
Aydogdu, O.: Int. J. Mod. Phys. D 15, 459 (2006)
Sharif, M., Amir, M.J.: Gen. Relativ. Gravit. 39, 989 (2007)
Sharif, M., Amir, M.J.: Gen. Relativ. Gravit. 38, 1735 (2006)
Sharif, M., Amir, M.J.: Mod. Phys. Lett. A 22, 425 (2007)
Sharif, M., Amir, M.J.: gr-qc/0704099 (2007)
Sousa, A.A., Moura, J.S., Pereira, R.B.: gr-qc/0702109 (2007)
So, L.L., Vargas, T.: Chin. J. Phys. 43, 901 (2005)
Korunur, M.: gr-qc/0608014 (2006)
Aygun, S., Aygun, M., Tarhan, I.: gr-qc/0607126 (2006)
Korunur, M., Salti, M., Aydogdu, O., Acikgoz, I.: gr-qc/0607117 (2006)
Aygun, S., Baysal, H., Tarhan, I.: gr-qc/0607109 (2006)
Aygun, S.: Acta Phys. Polonica B 38, 73 (2007)
Aygun, S., et al.: Acta Phys. Polonica B 37, 2781 (2006)
Salti, M., Aydogdu, O.: Eur. Phys. J. C 47, 247 (2006)
Salti, M., Aydogdu, O.: Int. J. Theor. Phys. 45, 1891 (2006)
Salti, M., Aydogdu, O.: Int. J. Theor. Phys. 45, 2481 (2006)
Salti, M., Aydogdu, O.: Found. Phys. Lett. 19, 269 (2006)
Salti, M.: Czech. J. Phys. 56, 177 (2006)
Salti, M.: Mod. Phys. Lett. A 20, 2175 (2005)
Salti, M., et al.: J. High Energy Phys. 0612, 078 (2006)
Aydogdu, O.: Int. J. Mod. Phys. A 21, 3845 (2006)
Aydogdu, O., Salti, M.: Pramana J. 67, 239 (2006)
Aydogdu, O., Salti, M.: Astrophys. Space Sci. 299, 227 (2005)
Aydogdu, O., Salti, M., et al.: Found. Phys. Lett. 19, 709 (2006)
Nashed, G.G.L.: Nuovo Cimento B 119, 967 (2005)
Gad, R.M.: Astrophys. Space Sci. 302, 141 (2006)
Gad, R.M.: Astrophys. Space Sci. 295, 459 (2005)
Gad, R.M.: Astrophys. Space Sci. 293, 453 (2004)
Radinschi, I., Yang, I.-C.: Fizika B 14, 311 (2005)
Radinschi, I.: In: Reimer, A. (ed.) Quant. Cosmology Research Trends. Horizons in World Physics, vol. 246. Nova Science Publ. (2005). gr-qc/0302047
Radinschi, I.: gr-qc/0203084 (2002)
Radinschi, I.: Mod. Phys. Lett. A 16, 673 (2001)
Radinschi, I.: Mod. Phys. Lett. A 15, 2171 (2000)
Yang, I.-C., Radinschi, I.: Mod. Phys. Lett. A 17, 1159 (2002)
Yang, I.-C., Radinschi, I.: Chin. J. Phys. 42, 40 (2004)
Vagenas, E.C.: Mod. Phys. Lett. A 21, 1947 (2006)
Vagenas, E.C.: Mod. Phys. Lett. A 19, 213 (2004)
Sharif, M., Fatima, T.: Int. J. Mod. Phys. A 20, 4309 (2005)
Sharif, M., Fatima, T.: Astrophys. Space Sci. 302, 217 (2006)
Sharif, M., Azam, M.: Int. J. Mod. Phys. A 22, 1935 (2007)
Aygun, S., et al.: gr-qc/07040525 (2007)
Aygun, S., Baysal, H., Tarhan, I.: gr-qc/0608024 (2006)
So, L.L., Nester, J.M.: gr-qc/0612061 (2006)
Binbay, F., Pirinccioglu, N., Salti, M., Aydogdu, O.: gr-qc/0607095 (2006)
Yang, I.-C., Jeng, C.-C.: gr-qc/0605145 (2006)
Yang, I.-C., Tsai, C.H.: gr-qc/0503118 (2005)
Havare, A., Salti, M., Yetkin, T.: gr-qc/0502057 (2005)
Havare, A., Korunur, M., Salti, M.: Astrophys. Space Sci. 301, 43 (2006)
Xulu, S.S.: Astrophys. Space Sci. 283, 23 (2003)
Xulu, S.S.: Mod. Phys. Lett. A 15, 1151 (2000)
Grammenos, T., Radinschi, I.: Int. J. Theor. Phys. 46, 1055 (2007)
Johnson, C.V.: D-Branes. Cambridge University Press, Cambridge (2003)
Kar, S., Majumdar, S.: Int. J. Mod. Phys. A 21, 6087 (2006)
Seiberg, N., Witten, E.: J. High Energy Phys. 9909, 032 (1999)
Kar, S.: J. High Energy Phys. 10, 052 (2006)
Kar, S.: Phys. Rev. D 74, 126002 (2006)
Kar, S.: Phys. Rev. D 74, 066003 (2006)
Xulu, S.S.: Ph.D. thesis. hep-th/0308070 (2003)
Lessner, G.: Gen. Relativ. Gravit. 28, 527 (1996)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Radinschi, I., Grammenos, T. Møller’s Energy-Momentum Complex for a Spacetime Geometry on a Noncommutative Curved D3-Brane. Int J Theor Phys 47, 1363–1372 (2008). https://doi.org/10.1007/s10773-007-9578-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-007-9578-9
Keywords
- Møller’s energy-momentum complex
- Noncommutative string theory
- Dp-branes