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The configuration of the magnetic field in the interior of a neutron star is mostly unknown from observations. Theoretical models of the interior magnetic field geometry tend to be oversimplified to avoid mathematical complexity and tend to…

High Energy Astrophysical Phenomena · Physics 2020-10-07 Prasanta Bera , D. I. Jones , Nils Andersson

Upper main sequence stars, white dwarfs and neutron stars are known to possess stable, large-scale magnetic fields. Numerical works have confirmed that stable MHD equilibria can exist in non-barotropic, stably stratified stars. On the other…

Solar and Stellar Astrophysics · Physics 2015-06-23 C. Armaza , A. Reisenegger , J. A. Valdivia

We examine the equilibrium of a magnetized neutron-star-crust. We calculate axially symmetric models in which an elastic force balances solenoidal motion driven by a Lorentz force. A large variety of equilibrium models are allowed by…

High Energy Astrophysical Phenomena · Physics 2021-08-11 Yasufumi Kojima , Shota Kisaka , Kotaro Fujisawa

The interior of a neutron star is likely to be predominantly a mixture of superfluid neutrons and superconducting protons. This results in the quantisation of the star's magnetic field into an array of thin fluxtubes, producing a…

Solar and Stellar Astrophysics · Physics 2015-06-12 S. K. Lander

Symmetries and conservation laws associated with the ideal Einstein-Euler system, for stationary and axisymmetric stars, can be utilized to define a set of flow constants. These quantities are conserved along flow lines in the sense that…

General Relativity and Quantum Cosmology · Physics 2023-10-05 Arthur G. Suvorov , Kostas Glampedakis

This paper addresses the evolution of an axially symmetric magnetic field in the core of a neutron star. The matter in the core is modeled as a system of two fluids, namely neutrons and charged particles, with slightly different velocity…

High Energy Astrophysical Phenomena · Physics 2025-09-10 F. Castillo , N. A. Moraga , M. E. Gusakov , J. A. Valdivia , A. Reisenegger

In a previous paper, we reported simulations of the evolution of the magnetic field in neutron star cores through ambipolar diffusion, taking the neutrons as a motionless uniform background. However, in real neutron stars, neutrons are free…

High Energy Astrophysical Phenomena · Physics 2020-09-02 F. Castillo , A. Reisenegger , J. A. Valdivia

Extremely magnetized neutron stars with magnetic fields as strong as $\sim 10^{15-16}$ G, or magnetars, have received considerable attention in the last decade due to their identification as a plausible source for Soft Gamma Repeaters and…

High Energy Astrophysical Phenomena · Physics 2015-06-18 A. G. Pili , N. Bucciantini , L. Del Zanna

Traditionally, the subject of hydromagnetic equilibrium in neutron stars has been addressed in the context of standard magnetohydrodynamics, with matter obeying a barotropic equation of state. In this paper we take a step towards a more…

Solar and Stellar Astrophysics · Physics 2015-05-28 Kostas Glampedakis , Nils Andersson , Samuel K. Lander

We consider mixed configurations consisting of a wormhole filled by a strongly magnetized isotropic or anisotropic neutron fluid. The nontrivial topology of the spacetime is allowed by the presence of exotic matter. By comparing these…

General Relativity and Quantum Cosmology · Physics 2015-04-10 Ascar Aringazin , Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz

As another step towards understanding the long-term evolution of the magnetic field in neutron stars, we provide the first simulations of ambipolar diffusion in a spherical star. Restricting ourselves to axial symmetry, we consider a…

High Energy Astrophysical Phenomena · Physics 2017-07-17 F. Castillo , A. Reisenegger , J. A. Valdivia

Neutron stars contain the strongest magnetic fields known in the Universe. In this paper, I discuss briefly how these magnetic fields are inferred from observations, as well as the evidence for their time-evolution. I show how these…

Solar and Stellar Astrophysics · Physics 2013-05-14 Andreas Reisenegger

A magnetar's magnetosphere gradually evolves by the injection of energy and helicity from the interior. Axisymmetric static solutions for a relativistic force-free magnetosphere with a power-law current model are numerically obtained. They…

High Energy Astrophysical Phenomena · Physics 2018-02-07 Yasufumi Kojima , Satoki Okamoto

We consider static neutron stars within the framework of $R^2$ gravity. The neutron fluid is described by three different types of realistic equations of state (soft, moderately stiff, and stiff). Using the observational data on the neutron…

General Relativity and Quantum Cosmology · Physics 2018-06-08 Vladimir Folomeev

Although barotropic matter does not constitute a realistic model for magnetic stars, it would be interesting to confirm a recent conjecture that states that magnetized stars with a barotropic equation of state would be dynamically unstable…

Solar and Stellar Astrophysics · Physics 2015-06-15 Cristobal Armaza , Andreas Reisenegger , Juan Alejandro Valdivia , Pablo Marchant

Among the possible extensions of General Relativity that have been put forward in order to address some long standing issues in our understanding of the Universe, Scalar-Tensor Theories have received a lot of attention for their simplicity.…

High Energy Astrophysical Phenomena · Physics 2020-08-12 J. Soldateschi , N. Bucciantini , L. Del Zanna

We study the problem of neutron star composition in the presence of a strong magnetic field. The effects of the anomalous magnetic moments of both nucleons and electrons are investigated in relativistic mean field calculations for a…

Astrophysics · Physics 2009-11-07 G. Mao , V. N. Kondratyev , A. Iwamoto , Z. Li , X. Wu , W. Greiner , I. N. Mikhailov

Magnetar magnetospheres gradually become twisted due to shearing by footpoint motion. The axisymmetric solutions for the force-free field with a power-law current model are calculated by taking into account general relativistic effects.…

High Energy Astrophysical Phenomena · Physics 2017-04-19 Yasufumi Kojima

In previous work stable approximately axisymmetric equilibrium configurations for magnetic stars were found by numerical simulation. Here I investigate the conditions under which more complex, non-axisymmetric configurations can form. I…

Astrophysics · Physics 2009-11-13 J. Braithwaite

We study stationary free boundary configurations of an ideal incompressible magnetohydrodynamic fluid possessing nested flux surfaces. In 2D simply connected domains, we prove that if the magnetic field and velocity field are never…

Analysis of PDEs · Mathematics 2022-06-22 Peter Constantin , Theodore D. Drivas , Daniel Ginsberg
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