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.
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Abdalla, M.C.B., Nojiri, S., Odintsov, S.D.: Class. Quantum Gravity 22, L35 (2005). arXiv:hep-th/0409177
Alavirad, H., Weller, J.M.: (2013). arXiv:1307.7977v1 [gr-qc]
Antoniadis, J., Freire, P.C., Wex, N., et al.: Science 340, 348 (2013)
Arapoglu, S., Deliduman, C., Yavuz Eksi, K.: J. Cosmol. Astropart. Phys. 1107, 020 (2011). arXiv:1003.3179v3 [gr-qc]
Astashenok, A., Capozziello, S., Odintsov, S.D.: J. Cosmol. Astropart. Phys. 12, 040 (2013)
Astashenok, A., Capozziello, S., Odintsov, S.D.: Phys. Rev. D 89, 103509 (2014). arXiv:1401.4546 [gr-qc]
Babichev, E., Langlois, D.: Phys. Rev. D 81, 124051 (2010). arXiv:0911.1297 [gr-qc]
Bamba, K., Nojiri, S., Odintsov, S.D.: J. Cosmol. Astropart. Phys. 0810, 045 (2008). arXiv:0807.2575 [hep-th]
Bednarek, I., Haensel, P., Zdunik, J., Bejger, M., Manka, R.: (2012). arXiv:1111.6942 [astro-ph.SR]
Birrell, N.D., Davies, P.C.W.: Quantum Fields in Curved Space. Cambridge University Press, Cambridge (1982)
Briscese, F., Elizalde, E., Nojiri, S., Odintsov, S.D.: Phys. Lett. B 646, 105 (2007). arXiv:hep-th/0612220
Broderick, A., Prakash, M., Lattimer, J.M.: Astrophys. J. 537, 351 (2000)
Broderick, A., Prakash, M., Lattimer, J.M.: Phys. Lett. B 531, 167 (2002)
Buchbinder, I.L., Odintsov, S.D., Shapiro, I.L.: Effective Action in Quantum Gravity. IOP Publishing, Bristol (1992)
Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002)
Capozziello, S., De Laurentis, M.: Phys. Rep. 509, 167 (2011). arXiv:1108.6266 [gr-qc]
Capozziello, S., Faraoni, V.: Beyond Einstein Gravity. Springer, New York (2010)
Capozziello, S., Carloni, S., Troisi, A.: Res. Astron. Astrophys. 1, 625 (2003a)
Capozziello, S., et al.: Int. J. Mod. Phys. D 12, 1969 (2003b)
Capozziello, S., De Laurentis, M., Odintsov, S.D., Stabile, A.: Phys. Rev. D 83, 064004 (2011). arXiv:1101.0219 [gr-qc]
Capozziello, S., De Laurentis, M., De Martino, I., Formisano, M., Odintsov, S.D.: Phys. Rev. D 85, 044022 (2012). arXiv:1112.0761 [gr-qc]
Cardall, C.Y., Prakash, M., Lattimer, J.M.: Astrophys. J. 554, 322 (2001)
Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004)
Cheoun, M.-K., Deliduman, C., Güngör, C., Keleş, V., Ryu, C.Y., Kajino, T., Mathews, G.J.: (2013). arXiv:1304.1871v2 [astro-ph.HE]
Clark, J.S., et al.: Astron. Astrophys. 392, 909 (2002)
Colucci, G., Sedrakian, A.: (2014). arXiv:1401.1653v1 [nucl-th]
Cooney, A., De Deo, S., Psaltis, D.: Phys. Rev. D 82, 064033 (2010). arXiv:0910.5480 [astro-ph.HE]
de la Cruz-Dombriz, A., Saez-Gomez, D.: Entropy 14, 1717 (2012). arXiv:1207.2663 [gr-qc]
Demorest, P., et al.: Nature 467, 1081 (2010). arXiv:1010.5788v1 [astro-ph.HE]
Dover, C.B., Gal, A.: Prog. Part. Nucl. Phys. 12, 171 (1985)
Farinelli, R., De Laurentis, M., Capozziello, S., Odintsov, S.D.: Mon. Not. R. Astron. Soc. 440, 2909 (2014)
Freire, P.C., et al.: Astrophys. J. 675, 670 (2008)
Glendenning, N.K., Moszkowski, S.A.: Phys. Rev. Lett. 67, 2414 (1991)
Glendenning, N.K., Schaffner-Bielich, J.: Phys. Rev. Lett. 81, 4564 (1998)
Hofmann, F., Keil, C., Lenske, H.: Phys. Rev. C 64, 034314 (2001)
Jiang, W.-Z., Li, B.-A., Chen, L.-W.: Astrophys. J. 756, 56 (2012). arXiv:1207.1686 [astro-ph.SR]
Kerkwijk, M.H., Breton, R., Kulkarni, S.R.: Astrophys. J. 728, 95 (2011)
Khoury, J., Weltman, A.: Phys. Rev. Lett. 93, 171104 (2004). arXiv:astro-ph/0309300
Kobayashi, T., Maeda, K.: Phys. Rev. D 78, 064019 (2008). arXiv:0807.2503 [astro-ph]
Lopes, L.L., Menezes, D.P.: Braz. J. Phys. 42, 428 (2012). arXiv:1202.5016v2 [nucl-th]
McDonald, P., et al.: Astrophys. J. Suppl. Ser. 163, 80 (2006)
Miyatsu, T., Yamamuro, S., Nakazato, K.: Astrophys. J. 777, 4 (2013). arXiv:1308.6121v1 [astro-ph.HE]
Miyatsu, T., Cheoun, M.-K., Saito, K.: JPS Conf. Proc. 1, 013080 (2014). arXiv:1404.2428 [nucl-th]
Muñoz-Darias, T., Casares, J., Martinez-Pais, I.G.: Astrophys. J. 635, 520 (2005)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003a)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 576, 5 (2003b)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007). arXiv:hep-th/0601213
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 676, 94 (2009). arXiv:0903.5231 [hep-th]
Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011). arXiv:1011.0544 [gr-qc]
Perlmutter, S., et al. (Supernova Cosmology Project Collaboration): Astrophys. J. 517, 565 (1999). arXiv:astro-ph/9812133
Rabhi, A., Providencia, C.: J. Phys. G 37, 075102 (2010). arXiv:0909.1116v1 [nucl-th]
Rabhi, A., Pais, H., Panda, P.K., Providencia, C.: J. Phys. G 36, 115204 (2009). arXiv:0909.1114v1 [nucl-th]
Rawl, M.L., et al.: Astrophys. J. 730, 25 (2011)
Riess, A.G., et al. (Supernova Search Team Collaboration): Astron. J. 116, 1009 (1998). arXiv:astro-ph/9805201
Riess, A.G., et al. (Supernova Search Team Collaboration): Astrophys. J. 607, 665 (2004). arXiv:astro-ph/0402512
Rikovska-Stone, J., Guichon, P.A., Matevosyan, H.H., Thomas, A.W.: Nucl. Phys. A 792, 341 (2007)
Ryu, C.-Y., Kim, K.S., Cheoun, M.K.: Phys. Rev. C 82, 025804 (2010)
Ryu, C.-Y., Cheoun, M.-K., Kajino, T., Maruyama, T., Mathews, G.J.: (2011). arXiv:1106.4381 [astro-ph.HE]
Schaffner-Bielich, J.: Nucl. Phys. A 804, 309 (2008)
Schafner, J., Dover, C.B., Gal, A., Greiner, C., Millener, D.J., Stocker, H.: Ann. Phys. 235, 35 (1994)
Schimdt, C., et al.: Astron. Astrophys. 463, 405 (2007)
Schulze, H.-J., Rijken, T.: Phys. Rev. C 84, 035801 (2011)
Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 175 (2003). arXiv:astro-ph/0302209
Stephani, H.: General Relativity. Cambridge University Press, Cambridge (1990)
Typel, S., Wolter, H.H.: Nucl. Phys. A 656, 331 (1999)
Upadhye, A., Hu, W.: Phys. Rev. D 80, 064002 (2009). arXiv:0905.4055 [astro-ph.CO]
Vidana, I., Polls, A., Ramos, A., Engvik, L., Hjorth-Jensen, M.: Phys. Rev. C 62, 035801 (2000)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Weissenborn, S., Chatterjee, D., Schaffner-Bielich, J.: Nucl. Phys. A 881, 62 (2012a). arXiv:1111.6049v3 [astro-ph.HE]
Weissenborn, S., Chatterjee, D., Schaffner-Bielich, J.: Phys. Rev. C 85, 065802 (2012b). arXiv:1112.0234 [astro-ph.HE]
Weissenborn, S., Chatterjee, D., Schaffner-Bielich, J.: Nucl. Phys. A 914, 421 (2013)
Whittenbury, D.L., Carroll, J.D., Thomas, A.W., Tsushima, K., Stone, J.R.: (2012). arXiv:1204.2614v2 [nucl-th]
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).
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Astashenok, A.V., Capozziello, S. & Odintsov, S.D. Magnetic neutron stars in f(R) gravity. Astrophys Space Sci 355, 333–341 (2015). https://doi.org/10.1007/s10509-014-2182-6
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DOI: https://doi.org/10.1007/s10509-014-2182-6