Energy and Momentum of Higher Dimensional Black Holes

Springer Science and Business Media LLC - Tập 51 - Trang 1545-1554 - 2011
Melis Ulu Dog̃ru1,2, Neriman Varlıklı1,2, Derya Baykal3, Güliz Kıy3, Dog̃ukan Taṣer3, Halife Çag̃lar3, Emine Gündüz1,2
1Department of Physics, Art and Science Faculty, Çanakkale Onsekiz Mart University, Çanakkale, Turkey
2Astrophysics Research Center, Çanakkale Onsekiz Mart University, Çanakkale, Turkey
3Institute for Natural and Applied Sciences, Çanakkale Onsekiz Mart University, Çanakkale, Turkey

Tóm tắt

In this paper, we devote to investigate the energy-momentum problem of higher dimensional black holes in the general theory of relativity. The energy and momentum complex of Møller has been used for the calculations. Also, total energy and total momentum of some special cases for higher dimensional black holes such as Schwarzschild-like black holes, Reissner-Nordström-like charged black holes, AdS-like black holes, topological black holes, BTZ-like and charged BTZ-like black holes were obtained. It is invented that the momentum of black holes vanishes everywhere while the energy of black holes are not equal to zero in higher dimension. Also the results agree with Yang and Radinschi or Vagenas results in three and four dimensional black holes, respectively (Jang and Radinschi in AIP Conf. Proc. 895, 325, 2007; Vagenas in Mod. Phys. Lett. A 21, 1947, 2006).

Tài liệu tham khảo

Einstein, A.S.: Sitz.ber. Preus. Akad. Wiss. Ber. Math. Phys. 778 (1915). Addendum-ibid. 799 (1915) Tolman, R.C.: Relativity, Thermodinamics and Cosmology. Oxford Univ. Press, London (1934), p. 227 Papapetrou, A.: Proc. R. Ir. Acad., A 52, 11 (1948) Bergmann, P.G., Thomson, R.: Phys. Rev. 89, 400 (1953) Møller, C.: Ann. Phys. 4, 347 (1958) Weinberg, S.: Gravitation and Cosmology: Principle and Applications of General Theory of Relativity. Wiley, New York (1972) Landau, L.D., Lifshitz, E.M.: The Classical Theory of Fields, 4th edn. Pergamon, Oxford (1987) Qadir, A., Sharif, M.: Phys. Lett. A 167, 331 (1992) Lessner, G.: Gen. Relativ. Gravit. 28, 527 (1996) Aguirregabiria, J.M., Chamorro, A., Virbhadra, K.S.: Gen. Relativ. Gravit. 28, 1393 (1996) Rosen, N.: Gen. Relativ. Gravit. 26, 323 (1995) Johri, J.B., Kalligas, D., Singh, G.P., Everitt, C.W.F.: Gen. Relativ. Gravit. 27, 323 (1995) Radinschi, I., Ciobanu, B.: AIP Conf. Proc. 895, 329 (2007) Xulu, S.S.: Int. J. Theor. Phys. 37, 1773 (2003) Gad, R.M.: Astrophys. Space Sci. 295, 451 (2005) Vagenas, E.: Mod. Phys. Lett. A 21, 1947 (2006) Chang, C.C., Nester, J.M., Chen, C.: Phys. Rev. Lett. 83, 1897 (1999) Banerjee, N., Sen, S.: Pramana J. Phys. 49, 609 (1997) Tryon, E.P.: Nature 246, 396 (1973) Albrow, M.G.: Nature 241, 56 (1973) Gad Ragab, M.: Astrophys. Space Sci. 293(4), 453–460 (2004) Aygun, S.: Int. J. Theor. Phys. 49, 2288 (2010) Aygun, M., Yilmaz, I.: Int. J. Theor. Phys. 47, 707 (2008) Schwarzschild, K.S.: Sitz.ber. Kön. Preuss. Akad. Wiss. Berlin, Phys.-Math. Kl., 189–196 (1916) Reissner, H.: Ann. Phys. 50, 106–120 (1916) Nordström, G.: Verhandl. Koninkl. Ned. Akad. Wetenschap., Afdel. Natuurk. 26, 1201–1208 (1918) Kerr, R.P.: Phys. Rev. Lett. 11, 237–238 (1963) Banados, M., Teitelboim, C., Zanelli, J.: Phys. Rev. Lett. 69, 1849 (1992) Carlip, S.: Class. Quantum Gravity 12, 2853 (1995) Sarkar, T., Sengupta, G., Nath Tiwari, B.: J. High Energy Phys. 0611, 015 (2006) Kim, S.P., Kim, S.K., Soh, K.S., Yee, J.H.: Phys. Rev. D 55, 2159 (1997) Aman, J.E., Pidokrajt, N.: Phys. Rev. D 73, 024017 (2006) Hendi, S.H.: J. Math. Phys. 49, 082501 (2008) Hendi, S.H.: Phys. Lett. B 677, 123 (2009) Akbar, M., Azad Siddiqui, A.: Phys. Lett. B 656, 217–220 (2007) Vagenas, E.: Int. J. Mod. Phys. D 14, 573–586 (2005) Yang, I.-C., Radinschi, I.: AIP Conf. Proc. 895, 325 (2007) Virbhadra, K.S.: Pramana J. Phys. 44, 317 (1995) Ulu, M.: Int. J. Theor. Phys. 50, 356–363 (2011) Møller, C.: Ann. Phys. 12, 118 (1961) Kodama, H.: Lect. Notes Phys. 769, 427 (2009) Dennison, K.A., Wendell, J.P., Baumgarte, T.B.: Phys. Rev. D 82, 124057 (2010) Konoplya, R.A., Zhidenko, A.: Phys. Rev. Lett. 103, 161101 (2009) Cognola, G., Elizalde, E., Zerbini, S.: Phys. Lett. B 5857, 155 (2004) Banados, M.: arXiv:gr-qc/9803002v1 (1998) Banados, M., Henneaux, M., Teitelboim, C., Zanelli, J.: Phys. Rev. D 48, 1506 (1993) Gad, M.R.: Gen. Relativ. Gravit. 38, 417 (2006) Misner, C.W., Thorne, K.S., Wheeler, J.A.: Mod. Phys. Lett. 61, 1446 (1988) Cooperstock, F.I., Sarracino, R.S.: J. Phys. A, Math. Gen. 11, 877 (1978) Bondi, I.: Proc. R. Soc. Lond. A 427, 249 (1990) Virbhadra, K.S.: Phys. Rev. D 60, 104041 (1999) Chamorro, A., Virbhadra, K.S.: Int. J. Mod. Phys. D 5, 251–256 (1996) Rosen, N., Virbhadra, K.S.: Gen. Relativ. Gravit. 25, 429–433 (1993)