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Astrophysics and Space Science

, Volume 355, Issue 2, pp 333–341 | Cite as

Magnetic neutron stars in f(R) gravity

  • Artyom V. Astashenok
  • Salvatore Capozziello
  • Sergei D. Odintsov
Original Article

Abstract

Neutron stars with strong magnetic fields are considered in the framework of f(R) gravity. In order to describe dense matter in magnetic field, the model with baryon octet interacting through σρω-fields is used. The hyperonization process results in softening the equation of state (EoS) and in decreasing the maximal mass. We investigate the effect of strong magnetic field in models involving quadratic and cubic corrections in the Ricci scalar R to the Hilbert–Einstein action. For large fields, the Mass–Radius relation differs considerably from that of General Relativity only for stars with masses close to the maximal one. Another interesting feature is the possible existence of more compact stable stars with extremely large magnetic fields (∼6×1018 G instead of ∼4×1018 G as in GR) in the central regions of the stars. Due to cubic terms, a significant increasing of the maximal mass is possible.

Keywords

Magnetars Neutron stars Modified gravity 

Notes

Acknowledgements

This work is supported in part by projects 14-02-31100 (RFBR, Russia) (AVA), by MINECO (Spain), FIS2010-15640 and by MES project TSPU-139 (Russia) (SDO). SC is supported by INFN (iniziative specifiche TEONGRAV and QGSKY).

References

  1. Abdalla, M.C.B., Nojiri, S., Odintsov, S.D.: Class. Quantum Gravity 22, L35 (2005). arXiv:hep-th/0409177 ADSCrossRefGoogle Scholar
  2. Alavirad, H., Weller, J.M.: (2013). arXiv:1307.7977v1 [gr-qc]
  3. Antoniadis, J., Freire, P.C., Wex, N., et al.: Science 340, 348 (2013)CrossRefGoogle Scholar
  4. Arapoglu, S., Deliduman, C., Yavuz Eksi, K.: J. Cosmol. Astropart. Phys. 1107, 020 (2011). arXiv:1003.3179v3 [gr-qc]ADSCrossRefGoogle Scholar
  5. Astashenok, A., Capozziello, S., Odintsov, S.D.: J. Cosmol. Astropart. Phys. 12, 040 (2013)ADSCrossRefGoogle Scholar
  6. Astashenok, A., Capozziello, S., Odintsov, S.D.: Phys. Rev. D 89, 103509 (2014). arXiv:1401.4546 [gr-qc]ADSCrossRefGoogle Scholar
  7. Babichev, E., Langlois, D.: Phys. Rev. D 81, 124051 (2010). arXiv:0911.1297 [gr-qc]ADSCrossRefGoogle Scholar
  8. Bamba, K., Nojiri, S., Odintsov, S.D.: J. Cosmol. Astropart. Phys. 0810, 045 (2008). arXiv:0807.2575 [hep-th]ADSCrossRefGoogle Scholar
  9. Bednarek, I., Haensel, P., Zdunik, J., Bejger, M., Manka, R.: (2012). arXiv:1111.6942 [astro-ph.SR]
  10. Birrell, N.D., Davies, P.C.W.: Quantum Fields in Curved Space. Cambridge University Press, Cambridge (1982)CrossRefMATHGoogle Scholar
  11. Briscese, F., Elizalde, E., Nojiri, S., Odintsov, S.D.: Phys. Lett. B 646, 105 (2007). arXiv:hep-th/0612220 ADSCrossRefGoogle Scholar
  12. Broderick, A., Prakash, M., Lattimer, J.M.: Astrophys. J. 537, 351 (2000)ADSCrossRefGoogle Scholar
  13. Broderick, A., Prakash, M., Lattimer, J.M.: Phys. Lett. B 531, 167 (2002)ADSCrossRefGoogle Scholar
  14. Buchbinder, I.L., Odintsov, S.D., Shapiro, I.L.: Effective Action in Quantum Gravity. IOP Publishing, Bristol (1992)Google Scholar
  15. Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002)ADSCrossRefGoogle Scholar
  16. Capozziello, S., De Laurentis, M.: Phys. Rep. 509, 167 (2011). arXiv:1108.6266 [gr-qc]ADSMathSciNetCrossRefGoogle Scholar
  17. Capozziello, S., Faraoni, V.: Beyond Einstein Gravity. Springer, New York (2010)MATHGoogle Scholar
  18. Capozziello, S., Carloni, S., Troisi, A.: Res. Astron. Astrophys. 1, 625 (2003a)Google Scholar
  19. Capozziello, S., et al.: Int. J. Mod. Phys. D 12, 1969 (2003b)ADSCrossRefGoogle Scholar
  20. Capozziello, S., De Laurentis, M., Odintsov, S.D., Stabile, A.: Phys. Rev. D 83, 064004 (2011). arXiv:1101.0219 [gr-qc]ADSCrossRefGoogle Scholar
  21. Capozziello, S., De Laurentis, M., De Martino, I., Formisano, M., Odintsov, S.D.: Phys. Rev. D 85, 044022 (2012). arXiv:1112.0761 [gr-qc]ADSCrossRefGoogle Scholar
  22. Cardall, C.Y., Prakash, M., Lattimer, J.M.: Astrophys. J. 554, 322 (2001)ADSCrossRefGoogle Scholar
  23. Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004)ADSCrossRefGoogle Scholar
  24. Cheoun, M.-K., Deliduman, C., Güngör, C., Keleş, V., Ryu, C.Y., Kajino, T., Mathews, G.J.: (2013). arXiv:1304.1871v2 [astro-ph.HE]
  25. Clark, J.S., et al.: Astron. Astrophys. 392, 909 (2002)ADSCrossRefGoogle Scholar
  26. Colucci, G., Sedrakian, A.: (2014). arXiv:1401.1653v1 [nucl-th]
  27. Cooney, A., De Deo, S., Psaltis, D.: Phys. Rev. D 82, 064033 (2010). arXiv:0910.5480 [astro-ph.HE]ADSCrossRefGoogle Scholar
  28. de la Cruz-Dombriz, A., Saez-Gomez, D.: Entropy 14, 1717 (2012). arXiv:1207.2663 [gr-qc]ADSMathSciNetCrossRefGoogle Scholar
  29. Demorest, P., et al.: Nature 467, 1081 (2010). arXiv:1010.5788v1 [astro-ph.HE]ADSCrossRefGoogle Scholar
  30. Dover, C.B., Gal, A.: Prog. Part. Nucl. Phys. 12, 171 (1985)ADSCrossRefGoogle Scholar
  31. Farinelli, R., De Laurentis, M., Capozziello, S., Odintsov, S.D.: Mon. Not. R. Astron. Soc. 440, 2909 (2014)ADSCrossRefGoogle Scholar
  32. Freire, P.C., et al.: Astrophys. J. 675, 670 (2008)ADSCrossRefGoogle Scholar
  33. Glendenning, N.K., Moszkowski, S.A.: Phys. Rev. Lett. 67, 2414 (1991)ADSCrossRefGoogle Scholar
  34. Glendenning, N.K., Schaffner-Bielich, J.: Phys. Rev. Lett. 81, 4564 (1998)ADSCrossRefGoogle Scholar
  35. Hofmann, F., Keil, C., Lenske, H.: Phys. Rev. C 64, 034314 (2001)ADSCrossRefGoogle Scholar
  36. Jiang, W.-Z., Li, B.-A., Chen, L.-W.: Astrophys. J. 756, 56 (2012). arXiv:1207.1686 [astro-ph.SR]ADSCrossRefGoogle Scholar
  37. Kerkwijk, M.H., Breton, R., Kulkarni, S.R.: Astrophys. J. 728, 95 (2011)ADSCrossRefGoogle Scholar
  38. Khoury, J., Weltman, A.: Phys. Rev. Lett. 93, 171104 (2004). arXiv:astro-ph/0309300 ADSCrossRefGoogle Scholar
  39. Kobayashi, T., Maeda, K.: Phys. Rev. D 78, 064019 (2008). arXiv:0807.2503 [astro-ph]ADSMathSciNetCrossRefGoogle Scholar
  40. Lopes, L.L., Menezes, D.P.: Braz. J. Phys. 42, 428 (2012). arXiv:1202.5016v2 [nucl-th]ADSCrossRefGoogle Scholar
  41. McDonald, P., et al.: Astrophys. J. Suppl. Ser. 163, 80 (2006)ADSCrossRefGoogle Scholar
  42. Miyatsu, T., Yamamuro, S., Nakazato, K.: Astrophys. J. 777, 4 (2013). arXiv:1308.6121v1 [astro-ph.HE]ADSCrossRefGoogle Scholar
  43. Miyatsu, T., Cheoun, M.-K., Saito, K.: JPS Conf. Proc. 1, 013080 (2014). arXiv:1404.2428 [nucl-th]Google Scholar
  44. Muñoz-Darias, T., Casares, J., Martinez-Pais, I.G.: Astrophys. J. 635, 520 (2005)ADSCrossRefGoogle Scholar
  45. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003a)ADSCrossRefGoogle Scholar
  46. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 576, 5 (2003b)ADSCrossRefGoogle Scholar
  47. Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007). arXiv:hep-th/0601213 MathSciNetCrossRefGoogle Scholar
  48. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 676, 94 (2009). arXiv:0903.5231 [hep-th]ADSMathSciNetCrossRefGoogle Scholar
  49. Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011). arXiv:1011.0544 [gr-qc]ADSMathSciNetCrossRefGoogle Scholar
  50. Perlmutter, S., et al. (Supernova Cosmology Project Collaboration): Astrophys. J. 517, 565 (1999). arXiv:astro-ph/9812133 ADSCrossRefGoogle Scholar
  51. Rabhi, A., Providencia, C.: J. Phys. G 37, 075102 (2010). arXiv:0909.1116v1 [nucl-th]ADSCrossRefGoogle Scholar
  52. Rabhi, A., Pais, H., Panda, P.K., Providencia, C.: J. Phys. G 36, 115204 (2009). arXiv:0909.1114v1 [nucl-th]ADSCrossRefGoogle Scholar
  53. Rawl, M.L., et al.: Astrophys. J. 730, 25 (2011)ADSCrossRefGoogle Scholar
  54. Riess, A.G., et al. (Supernova Search Team Collaboration): Astron. J. 116, 1009 (1998). arXiv:astro-ph/9805201 ADSCrossRefGoogle Scholar
  55. Riess, A.G., et al. (Supernova Search Team Collaboration): Astrophys. J. 607, 665 (2004). arXiv:astro-ph/0402512 ADSCrossRefGoogle Scholar
  56. Rikovska-Stone, J., Guichon, P.A., Matevosyan, H.H., Thomas, A.W.: Nucl. Phys. A 792, 341 (2007)ADSCrossRefGoogle Scholar
  57. Ryu, C.-Y., Kim, K.S., Cheoun, M.K.: Phys. Rev. C 82, 025804 (2010)ADSCrossRefGoogle Scholar
  58. Ryu, C.-Y., Cheoun, M.-K., Kajino, T., Maruyama, T., Mathews, G.J.: (2011). arXiv:1106.4381 [astro-ph.HE]
  59. Schaffner-Bielich, J.: Nucl. Phys. A 804, 309 (2008)ADSCrossRefGoogle Scholar
  60. Schafner, J., Dover, C.B., Gal, A., Greiner, C., Millener, D.J., Stocker, H.: Ann. Phys. 235, 35 (1994)ADSCrossRefGoogle Scholar
  61. Schimdt, C., et al.: Astron. Astrophys. 463, 405 (2007)ADSCrossRefGoogle Scholar
  62. Schulze, H.-J., Rijken, T.: Phys. Rev. C 84, 035801 (2011)ADSCrossRefGoogle Scholar
  63. Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 175 (2003). arXiv:astro-ph/0302209 ADSCrossRefGoogle Scholar
  64. Stephani, H.: General Relativity. Cambridge University Press, Cambridge (1990)MATHGoogle Scholar
  65. Typel, S., Wolter, H.H.: Nucl. Phys. A 656, 331 (1999)ADSCrossRefGoogle Scholar
  66. Upadhye, A., Hu, W.: Phys. Rev. D 80, 064002 (2009). arXiv:0905.4055 [astro-ph.CO]ADSCrossRefGoogle Scholar
  67. Vidana, I., Polls, A., Ramos, A., Engvik, L., Hjorth-Jensen, M.: Phys. Rev. C 62, 035801 (2000)ADSCrossRefGoogle Scholar
  68. Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)ADSCrossRefGoogle Scholar
  69. Weissenborn, S., Chatterjee, D., Schaffner-Bielich, J.: Nucl. Phys. A 881, 62 (2012a). arXiv:1111.6049v3 [astro-ph.HE]ADSCrossRefGoogle Scholar
  70. Weissenborn, S., Chatterjee, D., Schaffner-Bielich, J.: Phys. Rev. C 85, 065802 (2012b). arXiv:1112.0234 [astro-ph.HE]ADSCrossRefGoogle Scholar
  71. Weissenborn, S., Chatterjee, D., Schaffner-Bielich, J.: Nucl. Phys. A 914, 421 (2013)ADSCrossRefGoogle Scholar
  72. Whittenbury, D.L., Carroll, J.D., Thomas, A.W., Tsushima, K., Stone, J.R.: (2012). arXiv:1204.2614v2 [nucl-th]

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Artyom V. Astashenok
    • 1
  • Salvatore Capozziello
    • 2
    • 3
    • 4
  • Sergei D. Odintsov
    • 5
    • 6
    • 7
    • 8
  1. 1.Institute of Physics and TechnologyI. Kant Baltic Federal UniversityKaliningradRussia
  2. 2.Dipartimento di FisicaUniversita’ di Napoli Federico IINapoliItaly
  3. 3.Istituto Nazionale di Fisica Nucleare (INFN) Sez. di NapoliCompl. Univ. di Monte S. Angelo, Ed. G.NapoliItaly
  4. 4.Gran Sasso Science Institute (INFN)L’AquilaItaly
  5. 5.Instituciò Catalana de Recerca i Estudis Avançats (ICREA)BarcelonaSpain
  6. 6.Institut de Ciencies de l’Espai (IEEC-CSIC)Campus UABBarcelonaSpain
  7. 7.Tomsk State Pedagogical UniversityTomskRussia
  8. 8.National Research Tomsk State UniversityTomskRussia

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