# Stably stratified stars containing magnetic fields whose toroidal components are much larger than the poloidal ones in general relativity: A perturbation analysis

@article{Yoshida2019StablySS, title={Stably stratified stars containing magnetic fields whose toroidal components are much larger than the poloidal ones in general relativity: A perturbation analysis}, author={Shijun Yoshida}, journal={Physical Review D}, year={2019} }

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…

## 4 Citations

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A new code for computing fully general relativistic solutions of strongly magnetized rapidly rotating compact stars is developed as a part of the Compact Object CALculator (cocal) code. The full set…

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## References

SHOWING 1-10 OF 110 REFERENCES

### Stably stratified magnetized stars in general relativity

- Physics
- 2012

We construct magnetized stars composed of a fluid stably stratified by entropy gradients in the framework of general relativity, assuming ideal magnetohydrodynamics and employing a barotropic…

### RELATIVISTIC STARS WITH POLOIDAL AND TOROIDAL MAGNETIC FIELDS AND MERIDIONAL FLOW

- Physics
- 2003

We investigate stationary axisymmetric configurations of magnetized stars in the framework of general relativistic ideal magnetohydrodynamics. Our relativistic stellar model incorporates a toroidal…

### Magnetic fields in axisymmetric neutron stars

- Physics
- 2009

We derive general equations for axisymmetric Newtonian magnetohydrodynamics and use these as the basis of a code for calculating equilibrium configurations of rotating magnetized neutron stars in a…

### Equilibrium Configurations of Magnetized Rotating Polytropes: Effects of Strong Toroidal Magnetic Fields in Addition to Poloidal Magnetic Fields

- Physics
- 2006

We have constructed many equilibrium sequences of magnetized polytropic stars with infinite conductivity for polytropes of indices N = 0.5, 1, and 3. Not only poloidal magnetic fields but also…

### Additional results for unstable stratified toroidal magnetic fields in stars

- Physics
- 1981

General conditions for adiabatic instability of weak axisymmetric toroidal magnetic fields are obtained. In particular all fields which haveHϕ=0 and ∂Hϕ2/∂δ>0 simultaneously are unstable. This…

### INSTABILITY-DRIVEN EVOLUTION OF POLOIDAL MAGNETIC FIELDS IN RELATIVISTIC STARS

- Physics
- 2011

The problem of the stability of magnetic fields in stars has a long history and has been investigated in detail in perturbation theory. Here, we consider the nonlinear evolution of a nonrotating…

### Hydromagnetic Instabilities in Neutron Stars

- Physics
- 2011

We model the nonlinear ideal magnetohydrodynamics of poloidal magnetic fields in neutron stars in general relativity assuming a polytropic equation of state. We identify familiar hydromagnetic modes,…

### Equilibrium solutions of relativistic rotating stars with mixed poloidal and toroidal magnetic fields

- Physics
- 2014

Department of Earth Science and Astronomy, Graduate School of Arts and Sciences,University of Tokyo, Komaba 3-8-1, Meguro, 153-8902 Tokyo, Japan(Dated: October 16, 2014)Stationary and axisymmetric…

### A new numerical scheme for structures of rotating magnetic stars

- Physics, Geology
- 2005

We have developed a new numerical scheme for obtaining structures of rapidly rotating stars with strong magnetic fields. In our scheme, both poloidal and toroidal magnetic fields can be treated for…

### Structure and deformations of strongly magnetized neutron stars with twisted torus configurations

- Physics
- 2010

We construct general relativistic models of stationary, strongly magnetized neutron stars. The magnetic field configuration, obtained by solving the relativistic GradShafranov equation, is a…