Different‎ Magnetic Field ‎Distributions‎ in Deformed Neutron Stars‎

‎In this work, we review the formalism which would allow us to model magnetically deformed neutron stars. We study the effect of different magnetic field configurations on the equation of state (EoS) and ‎the ‎structure of such stars. ‎For this aim‎, the EoS of magnetars is acquired by using the low...

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Main Authors: Mina Zamani, Mohsen Bigdeli
Format: Article
Language:English
Published: Damghan university 2019-04-01
Series:Iranian Journal of Astronomy and Astrophysics
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Online Access:https://ijaa.du.ac.ir/article_159_92c75c51107559c39303a2ef3b4d7369.pdf
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author Mina Zamani
Mohsen Bigdeli
author_facet Mina Zamani
Mohsen Bigdeli
author_sort Mina Zamani
collection DOAJ
description ‎In this work, we review the formalism which would allow us to model magnetically deformed neutron stars. We study the effect of different magnetic field configurations on the equation of state (EoS) and ‎the ‎structure of such stars. ‎For this aim‎, the EoS of magnetars is acquired by using the lowest order constraint variational (LOCV) method ‎‎and ‎employing‎ the AV18 potential‎.‎ We ‎show ‎how ‎the ‎magnetic ‎field ‎varies ‎from ‎the ‎‎surface ‎to ‎the ‎center ‎of ‎neutron‎ ‎star ‎by ‎using ‎various ‎exponential ‎and ‎polynomial ‎profiles ‎and ‎compare ‎their ‎results.‎‎In addition‎, ‎global properties of neutron stars ‎are‎ obtained within two formalisms‎. ‎The first formalism is described by considering the pressure into two directions and the deformation of neutron stars is governed by anisotropies in‎ ‎the equation of state‎‎. The second formalism for investigating macroscopic properties of magnetars is gained by treating the nonuniform pressure as a perturbation to the total pressure and expanding metric and pressure up to the quadrupole term in spherical ‎harmonics.‎Afterwards‎, ‎we include three nucleon interactions (TNI) to ‎the ‎EoS‎ and apply this model to represent our results for both exponential and polynomial magnetic field profiles.‎The maximum gravitational mass is obtained ‎in ‎the ‎range ‎of ‎(‎1.7‎1-1.80)‎ M. ‎and ‎(‎2.13‎‎-‎2.1‎9)‎‎‎ M.‎ for ‎the EoS without and with TNI ‎contribution‎, respectively.
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spelling doaj-art-6065238e3fba4c4e90a936f111a4a5372025-08-20T02:36:31ZengDamghan universityIranian Journal of Astronomy and Astrophysics2322-49242383-403X2019-04-016192310.22128/ijaa.2019.343.1056159Different‎ Magnetic Field ‎Distributions‎ in Deformed Neutron Stars‎Mina Zamani0Mohsen Bigdeli1Department of Physics, University of ZanjanDepartment of Physics, University of Zanjan‎In this work, we review the formalism which would allow us to model magnetically deformed neutron stars. We study the effect of different magnetic field configurations on the equation of state (EoS) and ‎the ‎structure of such stars. ‎For this aim‎, the EoS of magnetars is acquired by using the lowest order constraint variational (LOCV) method ‎‎and ‎employing‎ the AV18 potential‎.‎ We ‎show ‎how ‎the ‎magnetic ‎field ‎varies ‎from ‎the ‎‎surface ‎to ‎the ‎center ‎of ‎neutron‎ ‎star ‎by ‎using ‎various ‎exponential ‎and ‎polynomial ‎profiles ‎and ‎compare ‎their ‎results.‎‎In addition‎, ‎global properties of neutron stars ‎are‎ obtained within two formalisms‎. ‎The first formalism is described by considering the pressure into two directions and the deformation of neutron stars is governed by anisotropies in‎ ‎the equation of state‎‎. The second formalism for investigating macroscopic properties of magnetars is gained by treating the nonuniform pressure as a perturbation to the total pressure and expanding metric and pressure up to the quadrupole term in spherical ‎harmonics.‎Afterwards‎, ‎we include three nucleon interactions (TNI) to ‎the ‎EoS‎ and apply this model to represent our results for both exponential and polynomial magnetic field profiles.‎The maximum gravitational mass is obtained ‎in ‎the ‎range ‎of ‎(‎1.7‎1-1.80)‎ M. ‎and ‎(‎2.13‎‎-‎2.1‎9)‎‎‎ M.‎ for ‎the EoS without and with TNI ‎contribution‎, respectively.https://ijaa.du.ac.ir/article_159_92c75c51107559c39303a2ef3b4d7369.pdfmagnetars‎‎magnetic field ‎profiles‎‎‎deformed neutron stars‎ ‎
spellingShingle Mina Zamani
Mohsen Bigdeli
Different‎ Magnetic Field ‎Distributions‎ in Deformed Neutron Stars‎
Iranian Journal of Astronomy and Astrophysics
magnetars‎‎
magnetic field ‎profiles‎‎
‎deformed neutron stars‎ ‎
title Different‎ Magnetic Field ‎Distributions‎ in Deformed Neutron Stars‎
title_full Different‎ Magnetic Field ‎Distributions‎ in Deformed Neutron Stars‎
title_fullStr Different‎ Magnetic Field ‎Distributions‎ in Deformed Neutron Stars‎
title_full_unstemmed Different‎ Magnetic Field ‎Distributions‎ in Deformed Neutron Stars‎
title_short Different‎ Magnetic Field ‎Distributions‎ in Deformed Neutron Stars‎
title_sort different‎ magnetic field ‎distributions‎ in deformed neutron stars‎
topic magnetars‎‎
magnetic field ‎profiles‎‎
‎deformed neutron stars‎ ‎
url https://ijaa.du.ac.ir/article_159_92c75c51107559c39303a2ef3b4d7369.pdf
work_keys_str_mv AT minazamani differentmagneticfielddistributionsindeformedneutronstars
AT mohsenbigdeli differentmagneticfielddistributionsindeformedneutronstars