Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, , 1 - 9, 24.04.2020
https://doi.org/10.33187/jmsm.555012

Öz

Kaynakça

  • [1] C. Møller, The Theory of Relativity Oxford Univ. Press, London, (1958).
  • [2] R. Penrose, Quasi-local mass and angular momentum in general relativity, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., A381 (1982), 53-63.
  • [3] L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields , Pergamon Press, 1987.
  • [4] P. G. Bergmann, R. Thomson, Spin and angular momentum in general relativity, Phys. Rev., 89 (1953), 400.
  • [5] R. C. Tolman, On the use of the energy-momentum principle in general relativity, Phys. Rev. 35 (1930), 875.
  • [6] S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, John Wiley and Sons Inc., New York, 1972.
  • [7] A. Papapetrou, Einstein’s theory of gravitation and flat space, Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences, Royal Irish Academy, A52 1948, pp. 11-23.
  • [8] C. Møller, On the localization of the energy of a physical system in the general theory of relativity, Ann. Physics, 4 (1958), 347-371.
  • [9] C. W. Misner, K. S. Thorne, J. A. Wheeler, Gravitation, W. H. Freeman and Company, San Francisco, 1973.
  • [10] F. I. Cooperstock, R. S. Sarracino, The localisation of energy in general relativity, J. Phys. A: Math. Gen., 11 (1978), 877.
  • [11] A. Chamorro, K. S. Virbhadra, A radiating dyon solution, Pramana-J. Phys., 45 (1995), 181.
  • [12] P. K. Sahoo, K. L. Mahanta, D. Goit, A. K. Sinha, S. S. Xulu, U. R. Das, A. Prasad, and R. Prasad, Einstein energy-momentum complex for a phantom black hole metric, Chinese Physics Letters, 32(2) (2015), 020402.
  • [13] N. Rosen, The energy of the universe, Gen. Relativ. Gravit, 26 (1994), 319-321.
  • [14] S. S. Xulu, Energy distribution in Melvin’s magnetic universe, Int. J. Modern Physics A, 15(30) (2000), 4849-4856.
  • [15] S. S. Xulu, Total energy of the Bianchi type I universes, Int. J. Theor. Phys., 39 (2000), 1153-1161.
  • [16] S. S. Xulu, Møller energy for the Kerr–Newman metric, Modern Phys. Lett. A, 15 (2000), 1511-1517.
  • [17] S. S. Xulu, Bergmann–Thomson energy-momentum complex for solutions more general than the Kerr–Schild class, Int. J. Theor. Phys., 46 (2007), 2915-2922.
  • [18] S. S. Xulu, Bergmann-Thomson energy of a charged rotating black hole, Found. Phys. Lett., 19 (2006), 603-609.
  • [19] A. K. Sinha, G. K.Pandey, A. K. Bhaskar, B. C. Rai, A. K. Jha, S. Kumar and S. S. Xulu, Effective gravitational mass of the Ay´on-Beato and Garc´ıa metric, Modern Phys. Lett. A, A 30 (2015), 1550120.
  • [20] S. Aygun, I. Tarhan,Energy–momentum localization for Bianchi type-IV Universe in general relativity and teleparallel gravity, Pramana, 78 (2012), 531-548.
  • [21] A. M. Abbassi, S. Mirshekari and A. H. Abbassi, Energy-momentum distribution in static and nonstatic cosmic string space-times, Phys. Rev., D 78 (2008), 064053.
  • [22] M. Sharif, K. Nazir, Energy-momentum problem of Bell-Szekeres metric in general relativity and teleparallel gravity, Brazilian J. Phys., 38 (2008), 156-166.
  • [23] O. Aydogdu, M. Salti, The momentum 4-vector in bulk viscous Bianchi type-V space-time, Czechoslovak J. Phys., 56 (2006), 789-798.
  • [24] O. Aydogdu, Gravitational energy–momentum density in Bianchi type II space–times, Int. J. Modern Phys., D1504 (2006), 459-468.
  • [25] N. Banerjee, S. Sen, Einstein pseudotensor and total energy of the universe, Pramana, 49 (1997), 609-615.
  • [26] M. Sharif, T. Fatima, Energy-momentum distribution: A crucial problem in general relativity, Int. J. Modern Phys., A20 (2005), 4309-4330.
  • [27] T. Multamaki, A. Putaja, I. Vilja, E. C. Vagenas, Energy–momentum complexes in f (R) theories of gravity, Classical Quantum Gravity, 25 (2008), 075017.
  • [28] M. Sharif, M. F. Shamir, Energy distribution in f (R) gravity, Gen. Relativity Gravitation, 42 (2010), 1557-1569.
  • [29] M. Saltı, M. Korunur, ˙I. Ac¸ıkg¨oz, G¨odel-type spacetimes in f (R)-gravity, Cent. Eur. J. Phys. 11.7 (2013), 961-967.
  • [30] M. Salti, O. Aydogdu, Energy in the Schwarzschild-de Sitter spacetime, Found. Phys. Lett., 19(3) (2006), 269-276.
  • [31] I-C. Yang, C-T. Yeh, R-R. Hsu, C-R. Lee, On the energy of a charged dilaton black hole, Internat. J. Modern Phys. A D 6(03) (1997), 349-356.
  • [32] I. Radinschi, The energy of a dyonic dilaton black hole, Acta Phys. Slov., 49 (1999), 789-794.
  • [33] C. J. Gao, S. N. Zhang, Phantom black holes, (2006), arXiv:hep-th/0604114.
  • [34] E. Babichev, V. Dokuchaev, Y. Eroshenko, Black hole mass decreasing due to phantom energy accretion, Phys. Rev. Lett., 93 (2004), 021102.
  • [35] K. A. Bronnikov, J. C. Fabris, Regular phantom black holes, Phys. Rev. Lett., 96 (2006), 251101.
  • [36] C. Ding, C. Liu, Y. Xiao, L. Jiang, R. G. Cai, Strong gravitational lensing in a black-hole spacetime dominated by dark energy, Phys. Rev. D, 88 (2013), 104007.
  • [37] M. S. Ma, Magnetically charged regular black hole in a model of nonlinear electrodynamics, Ann. Physics, 362 (2015), 529-537.
  • [38] K. S. Virbhadra, Naked singularities and Seifert’s conjecture, Phys. Rev., D60 (1999), 104041.
  • [39] G. G. Nashed, General spherically symmetric nonsingular black hole solutions in a teleparallel theory of gravitation, Phys. Rev., D66 (2002), 064015.
  • [40] T. Vargas, The energy of the universe in teleparallel gravity, Gen. Relativity Gravitation, 30 (2004), 1255-1264.
  • [41] J. W. Maluf, J. F. da Rocha-Neto, T. M. L. Toribio, K. H. Castello-Branco,Energy and angular momentum of the gravitational field in the teleparallel geometry, Phys. Rev., D65 (2002), 124001.
  • [42] M. Sharif, M. J. Amir, Teleparallel versions of Friedmann and Lewis–Papapetrou spacetimes, Gen. Relativity Gravitation, 38 (2006), 1735-1745.
  • [43] J. M. Aguirregabiria A. Chamorro, K. S. Virbhadra, Energy and angular momentum of charged rotating black holes, Gen. Relativity Gravitation, 28 (1996), 1393-1400.

Energy-Momentum Distribution for Magnetically Charged Black Hole Metric

Yıl 2020, , 1 - 9, 24.04.2020
https://doi.org/10.33187/jmsm.555012

Öz

This work investigates the well known localization problem of energy and momentum. The purpose of this paper is two fold. First, we compute Einstein, Landau-Lifshitz and Bergmann's energy-momentum complexes for static spherically symmetric magnetically charged regular black hole spacetime in general relativity. We observe strong coincidences among the results obtained form the three descriptions. These resembling results from different energy-momentum prescriptions may offer some basis to explain a exclusive quantity which supports Virabhadra's viewpoint. Secondly, the problem is discussed in modified gravity. In particular, we use generalized Landau-Lifshitz prescription for the determination of energy-momentum with reference to $f(R)$ theory of gravity. We explicitly compute the energy-momentum complex for the static spherically symmetric magnetically consistent regular black hole metric for a well-known choice of the $f(R)$ gravity models.

Kaynakça

  • [1] C. Møller, The Theory of Relativity Oxford Univ. Press, London, (1958).
  • [2] R. Penrose, Quasi-local mass and angular momentum in general relativity, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., A381 (1982), 53-63.
  • [3] L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields , Pergamon Press, 1987.
  • [4] P. G. Bergmann, R. Thomson, Spin and angular momentum in general relativity, Phys. Rev., 89 (1953), 400.
  • [5] R. C. Tolman, On the use of the energy-momentum principle in general relativity, Phys. Rev. 35 (1930), 875.
  • [6] S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, John Wiley and Sons Inc., New York, 1972.
  • [7] A. Papapetrou, Einstein’s theory of gravitation and flat space, Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences, Royal Irish Academy, A52 1948, pp. 11-23.
  • [8] C. Møller, On the localization of the energy of a physical system in the general theory of relativity, Ann. Physics, 4 (1958), 347-371.
  • [9] C. W. Misner, K. S. Thorne, J. A. Wheeler, Gravitation, W. H. Freeman and Company, San Francisco, 1973.
  • [10] F. I. Cooperstock, R. S. Sarracino, The localisation of energy in general relativity, J. Phys. A: Math. Gen., 11 (1978), 877.
  • [11] A. Chamorro, K. S. Virbhadra, A radiating dyon solution, Pramana-J. Phys., 45 (1995), 181.
  • [12] P. K. Sahoo, K. L. Mahanta, D. Goit, A. K. Sinha, S. S. Xulu, U. R. Das, A. Prasad, and R. Prasad, Einstein energy-momentum complex for a phantom black hole metric, Chinese Physics Letters, 32(2) (2015), 020402.
  • [13] N. Rosen, The energy of the universe, Gen. Relativ. Gravit, 26 (1994), 319-321.
  • [14] S. S. Xulu, Energy distribution in Melvin’s magnetic universe, Int. J. Modern Physics A, 15(30) (2000), 4849-4856.
  • [15] S. S. Xulu, Total energy of the Bianchi type I universes, Int. J. Theor. Phys., 39 (2000), 1153-1161.
  • [16] S. S. Xulu, Møller energy for the Kerr–Newman metric, Modern Phys. Lett. A, 15 (2000), 1511-1517.
  • [17] S. S. Xulu, Bergmann–Thomson energy-momentum complex for solutions more general than the Kerr–Schild class, Int. J. Theor. Phys., 46 (2007), 2915-2922.
  • [18] S. S. Xulu, Bergmann-Thomson energy of a charged rotating black hole, Found. Phys. Lett., 19 (2006), 603-609.
  • [19] A. K. Sinha, G. K.Pandey, A. K. Bhaskar, B. C. Rai, A. K. Jha, S. Kumar and S. S. Xulu, Effective gravitational mass of the Ay´on-Beato and Garc´ıa metric, Modern Phys. Lett. A, A 30 (2015), 1550120.
  • [20] S. Aygun, I. Tarhan,Energy–momentum localization for Bianchi type-IV Universe in general relativity and teleparallel gravity, Pramana, 78 (2012), 531-548.
  • [21] A. M. Abbassi, S. Mirshekari and A. H. Abbassi, Energy-momentum distribution in static and nonstatic cosmic string space-times, Phys. Rev., D 78 (2008), 064053.
  • [22] M. Sharif, K. Nazir, Energy-momentum problem of Bell-Szekeres metric in general relativity and teleparallel gravity, Brazilian J. Phys., 38 (2008), 156-166.
  • [23] O. Aydogdu, M. Salti, The momentum 4-vector in bulk viscous Bianchi type-V space-time, Czechoslovak J. Phys., 56 (2006), 789-798.
  • [24] O. Aydogdu, Gravitational energy–momentum density in Bianchi type II space–times, Int. J. Modern Phys., D1504 (2006), 459-468.
  • [25] N. Banerjee, S. Sen, Einstein pseudotensor and total energy of the universe, Pramana, 49 (1997), 609-615.
  • [26] M. Sharif, T. Fatima, Energy-momentum distribution: A crucial problem in general relativity, Int. J. Modern Phys., A20 (2005), 4309-4330.
  • [27] T. Multamaki, A. Putaja, I. Vilja, E. C. Vagenas, Energy–momentum complexes in f (R) theories of gravity, Classical Quantum Gravity, 25 (2008), 075017.
  • [28] M. Sharif, M. F. Shamir, Energy distribution in f (R) gravity, Gen. Relativity Gravitation, 42 (2010), 1557-1569.
  • [29] M. Saltı, M. Korunur, ˙I. Ac¸ıkg¨oz, G¨odel-type spacetimes in f (R)-gravity, Cent. Eur. J. Phys. 11.7 (2013), 961-967.
  • [30] M. Salti, O. Aydogdu, Energy in the Schwarzschild-de Sitter spacetime, Found. Phys. Lett., 19(3) (2006), 269-276.
  • [31] I-C. Yang, C-T. Yeh, R-R. Hsu, C-R. Lee, On the energy of a charged dilaton black hole, Internat. J. Modern Phys. A D 6(03) (1997), 349-356.
  • [32] I. Radinschi, The energy of a dyonic dilaton black hole, Acta Phys. Slov., 49 (1999), 789-794.
  • [33] C. J. Gao, S. N. Zhang, Phantom black holes, (2006), arXiv:hep-th/0604114.
  • [34] E. Babichev, V. Dokuchaev, Y. Eroshenko, Black hole mass decreasing due to phantom energy accretion, Phys. Rev. Lett., 93 (2004), 021102.
  • [35] K. A. Bronnikov, J. C. Fabris, Regular phantom black holes, Phys. Rev. Lett., 96 (2006), 251101.
  • [36] C. Ding, C. Liu, Y. Xiao, L. Jiang, R. G. Cai, Strong gravitational lensing in a black-hole spacetime dominated by dark energy, Phys. Rev. D, 88 (2013), 104007.
  • [37] M. S. Ma, Magnetically charged regular black hole in a model of nonlinear electrodynamics, Ann. Physics, 362 (2015), 529-537.
  • [38] K. S. Virbhadra, Naked singularities and Seifert’s conjecture, Phys. Rev., D60 (1999), 104041.
  • [39] G. G. Nashed, General spherically symmetric nonsingular black hole solutions in a teleparallel theory of gravitation, Phys. Rev., D66 (2002), 064015.
  • [40] T. Vargas, The energy of the universe in teleparallel gravity, Gen. Relativity Gravitation, 30 (2004), 1255-1264.
  • [41] J. W. Maluf, J. F. da Rocha-Neto, T. M. L. Toribio, K. H. Castello-Branco,Energy and angular momentum of the gravitational field in the teleparallel geometry, Phys. Rev., D65 (2002), 124001.
  • [42] M. Sharif, M. J. Amir, Teleparallel versions of Friedmann and Lewis–Papapetrou spacetimes, Gen. Relativity Gravitation, 38 (2006), 1735-1745.
  • [43] J. M. Aguirregabiria A. Chamorro, K. S. Virbhadra, Energy and angular momentum of charged rotating black holes, Gen. Relativity Gravitation, 28 (1996), 1393-1400.
Toplam 43 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Farasat Shamir 0000-0002-3310-8806

Rida Ejaz Bu kişi benim

Mushtaq Ahmad Bu kişi benim

Yayımlanma Tarihi 24 Nisan 2020
Gönderilme Tarihi 17 Nisan 2019
Kabul Tarihi 6 Nisan 2020
Yayımlandığı Sayı Yıl 2020

Kaynak Göster

APA Shamir, F., Ejaz, R., & Ahmad, M. (2020). Energy-Momentum Distribution for Magnetically Charged Black Hole Metric. Journal of Mathematical Sciences and Modelling, 3(1), 1-9. https://doi.org/10.33187/jmsm.555012
AMA Shamir F, Ejaz R, Ahmad M. Energy-Momentum Distribution for Magnetically Charged Black Hole Metric. Journal of Mathematical Sciences and Modelling. Nisan 2020;3(1):1-9. doi:10.33187/jmsm.555012
Chicago Shamir, Farasat, Rida Ejaz, ve Mushtaq Ahmad. “Energy-Momentum Distribution for Magnetically Charged Black Hole Metric”. Journal of Mathematical Sciences and Modelling 3, sy. 1 (Nisan 2020): 1-9. https://doi.org/10.33187/jmsm.555012.
EndNote Shamir F, Ejaz R, Ahmad M (01 Nisan 2020) Energy-Momentum Distribution for Magnetically Charged Black Hole Metric. Journal of Mathematical Sciences and Modelling 3 1 1–9.
IEEE F. Shamir, R. Ejaz, ve M. Ahmad, “Energy-Momentum Distribution for Magnetically Charged Black Hole Metric”, Journal of Mathematical Sciences and Modelling, c. 3, sy. 1, ss. 1–9, 2020, doi: 10.33187/jmsm.555012.
ISNAD Shamir, Farasat vd. “Energy-Momentum Distribution for Magnetically Charged Black Hole Metric”. Journal of Mathematical Sciences and Modelling 3/1 (Nisan 2020), 1-9. https://doi.org/10.33187/jmsm.555012.
JAMA Shamir F, Ejaz R, Ahmad M. Energy-Momentum Distribution for Magnetically Charged Black Hole Metric. Journal of Mathematical Sciences and Modelling. 2020;3:1–9.
MLA Shamir, Farasat vd. “Energy-Momentum Distribution for Magnetically Charged Black Hole Metric”. Journal of Mathematical Sciences and Modelling, c. 3, sy. 1, 2020, ss. 1-9, doi:10.33187/jmsm.555012.
Vancouver Shamir F, Ejaz R, Ahmad M. Energy-Momentum Distribution for Magnetically Charged Black Hole Metric. Journal of Mathematical Sciences and Modelling. 2020;3(1):1-9.

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