# On slowly rotating magnetized white dwarfs

## TL;DR

This paper investigates the structure and properties of slowly rotating, magnetized white dwarfs within general relativity, considering magnetic field effects and rotation to compute key physical parameters.

## Contribution

It introduces a model combining magnetic fields and rotation in white dwarfs using Hartle's formalism, accounting for anisotropic pressures due to magnetic fields.

## Key findings

- Magnetic fields below 10^{13} G influence white dwarf structure.
- Rotation and magnetic fields together affect moments of inertia and quadrupole moments.
- The study provides quantitative estimates of white dwarf deformation parameters.

## Abstract

Rotating magnetized white dwarfs are studied within the framework of general relativity using Hartle's formalism. Matter inside magnetized white dwarfs is described by an equation of state of particles under the action of a constant magnetic field which introduces anisotropic pressures. Our study is done for values of magnetic field below $10^{13}$ G -a threshold of the maximum magnetic field obtained by the cylindrical metric solution- and typical densities of WDs. The effects of the rotation and magnetic field combined are discussed, we compute relevant magnitudes such as the moment of inertia, quadrupole moment and eccentricity.