| GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
|
|
|
|
Magnetic Field of a Compact Spherical Star under f(R,T) Gravity |
| Safiqul Islam1**, Shantanu Basu2 |
1Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi Allahabad-211019, India
2Department of Physics and Astronomy, The University of Western Ontario, 1151 Richmond Street, London, ON, N6A 3K7, Canada
|
|
| Cite this article: |
|
Safiqul Islam, Shantanu Basu 2018 Chin. Phys. Lett. 35 099501 |
|
|
|
|
Abstract We present the interior solutions of distributions of magnetized fluid inside a sphere in $f(R,T)$ gravity. The magnetized sphere is embedded in an exterior Reissner–Nordström metric. We assume that all physical quantities are in static equilibrium. The perfect fluid matter is studied under a particular form of the Lagrangian density $f(R,T)$. The magnetic field profile in modified gravity is calculated. Observational data of neutron stars are used to plot suitable models of magnetized compact objects. We reveal the effect of $f(R,T)$ gravity on the magnetic field profile, with application to neutron stars, especially highly magnetized neutron stars found in x-ray pulsar systems. Finally, the effective potential $V_{\rm eff}$ and innermost stable circular orbits, arising out of the motion of a test particle of negligible mass influenced by attraction or repulsion from the massive center, are discussed.
|
|
|
Received: 18 May 2018
Published: 29 August 2018
|
|
| PACS: |
95.30.Sf
|
(Relativity and gravitation)
|
| |
04.50.Kd
|
(Modified theories of gravity)
|
| |
98.35.Eg
|
(Electric and magnetic fields)
|
|
|
|
|
|
| [1] | Starobinsky A A 1980 Phys. Lett. B 91 99 | | [2] | Smoot G F et al 1992 Astrophys. J. 396 L1 | | [3] | Huterer D and Turner M S 1999 Phys. Rev. D 60 081301 | | [4] | Riess A G et al 1999 Astron. J. 117 707 | | [5] | Tegmark M et al 2006 Phys. Rev. D 74 123507 | | [6] | Eisenstein D J et al 2005 Astrophys. J. 633 560 | | [7] | Spergel D N et al 2007 Astrophys. J. Suppl. Ser. 170 377 | | [8] | Kowalski M et al 2008 Astrophys. J. 686 749 | | [9] | Nesseris S and Perivolaropoulos L 2005 Phys. Rev. D 72 123519 | | [10] | Poplawski N J 2006 arXiv:gr-qc/0608031 | | [11] | Harko T, Lobo F S N, Nojiri S and Odintsov S D 2011 Phys. Rev. D 84 024020 | | [12] | Sharif M and Zubair M 2012 J. Phys. Soc. Jpn. 81 114005 | | [13] | Turimov B V, Ahmedov B J and Hakimov A A 2017 Phys. Rev. D 96 104001 | | [14] | Landau L D and Lifshitz E M 1998 The Classical Theory of Fields (Oxford: Butterworth-Heinemann) | | [15] | Barrientos O J et al 2014 Phys. Rev. D 90 028501 | | [16] | Moraes P H R S 2014 Astrophys. Space Sci. 352 273 | | [17] | Moraes P H R S 2015 Eur. Phys. J. C 75 168 | | [18] | Das A, Rahaman F, Guha B K and Ray S 2016 Eur. Phys. J. C 76 654 | | [19] | Hakimov A, Abdujabbarov A and Ahmedov B 2013 Phys. Rev. D 88 024008 | | [20] | Ahmedov B J and Fattoyev F J 2008 Phys. Rev. D 78 047501 | | [21] | Rezzolla L, Ahmedov B J and Miller J C 2001 Mon. Not. R. Astron. Soc. 322 723 | | [22] | Ginzburg V L and Ozernoy L M 1964 Zh. Eksp. Teor. Fiz. 47 1030 | | [23] | Anderson J L and Cohen J M 1970 Astrophys. Space Sci. 9 146 | | [24] | Petterson J A 1974 Phys. Rev. D 10 3166 | | [25] | Gupta A, Mishra A, Mishra H and Prasanna A R 1998 Class. Quantum Grav. 15 3131 | | [26] | Prasanna A R and Gupta A 1997 Nuovo Cimento B 112 1089 | | [27] | Lobo F S N, Harko T and Kovács Z 2010 arXiv:1001.3517v1 | | [28] | Abdujabbarov A, Ahmedov B and Ahmedov B B 2011 Phys. Rev. D 84 044044 | | [29] | Hakimov A, Turimov B, Abdujabbarov A and Ahmedov B 2010 Mod. Phys. Lett. A 25 3115 | | [30] | Abdujabbarov A, Ahmedov B and Hakimov A 2011 Phys. Rev. D 83 044053 | | [31] | Enolski V, Hartmann B, Kagramanova V, Kunz J, Lämmerzahl C and Sirimachan P 2012 J. Math. Phys. (N. Y.) 53 012504 | | [32] | Enolski V et al 2011 Phys. Rev. D 84 084011 | | [33] | Arfken G B and Weber H J 2001 Math. Methods For Physicists (San Diego: Academic Press) 5th edn | | [34] | Deb R, Paul B C and Tikekar R 2012 Pramana 79 211 | | [35] | Lattimer J 2010 http://stellarcollapse.org/nsmasses | | [36] | Sharma R, Mukherjee S, Dey M and Dey J 2002 Mod. Phys. Lett. A 17 827 | | [37] | Sharma R and Maharaj S D 2007 Mon. Not. R. Astron. Soc. 375 1265 | | [38] | Bic̆ák J and Janis̆ V 1985 Mon. Not. R. Astron. Soc. 212 899 | | [39] | Karas V and Vokroulflicky D 1992 Gen. Relativ. Gravit. 24 729 | | [40] | Kopác̆ek O and Karas V 2014 Astrophys. J. 787 117 | | [41] | Li D and Wu X 2018 arXiv:1803.02119v1 | | [42] | Karas V et al 2014 Acta Polytechnica 54 398 | | [43] | Braithwaite J 2009 Mon. Not. R. Astron. Soc. 397 763 | | [44] | Pethick C J and Sahrling M 1995 Astrophys. J. 453 L29 | | [45] | Dvornikov M 2016 Nucl. Phys. B 913 79 | | [46] | Dvornikov M 2017 Int. J. Mod. Phys. D 26 1750184 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
