Stably stratified stars containing magnetic fields whose toroidal components are much larger than the poloidal ones in general relativity: A perturbation analysis
arXiv:1811.11564 · doi:10.1103/PhysRevD.99.084034
Abstract
We construct the stably stratified magnetized stars within the framework of general relativity. The effects of magnetic fields on the structure of the star and spacetime are treated as perturbations of non-magnetized stars. By assuming ideal magnetohydrodynamics and employing one-parameter equations of state, we derive basic equations for describing stationary and axisymmetric stably stratified stars containing magnetic fields whose toroidal components are much larger than the poloidal ones. A number of the polytropic models are numerically calculated to investigate basic properties of the effects of magnetic fields on the stellar structure. According to the stability result obtained by Braithwaite, which remains a matter of conjecture for general magnetized stars, certain of the magnetized stars constructed in this study are possibly stable.
23 pages, 11 figures. arXiv admin note: text overlap with arXiv:1207.1942
References in corpus (15)
- Relativistic models of magnetars: structure and deformations
- Hydromagnetic Instabilities in Neutron Stars
- Relativistic stars with purely toroidal magnetic fields
- Variability from Nonaxisymmetric Fluctuations Interacting with Standing Shocks in Tilted Black Hole Accretion Disks
- General relativistic neutron stars with twisted magnetosphere
- General relativistic models for rotating magnetized neutron stars in conformally flat spacetime
- Instability of Magnetic Equilibria in Barotropic Stars
- The role of currents distribution in general relativistic equilibria of magnetized neutron stars
- Evolution of neutron stars with toroidal magnetic fields: Axisymmetric simulation in full general relativity
- Axisymmetric and stationary structures of magnetized barotropic stars with extremely strong magnetic fields deep inside
- Stability of magnetic configurations containing the toroidal and axial fields
- Non-axisymmetric instability of axisymmetric magnetic fields
- Equilibrium solutions of relativistic rotating stars with mixed poloidal and toroidal magnetic fields
- Magnetic field evolution in neutron stars
- Non-radial oscillations of the magnetized rotating stars with purely toroidal magnetic fields
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- Equilibriums of extremely magnetized compact stars with force-free magnetotunnels
- Strong toroidal magnetic fields sustained by the elastic crust in a neutron star
- Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
- Modeling Magnetohydrodynamic Equilibrium in Magnetars with Applications to Continuous Gravitational Wave Production