Mass-Radius Relation for Magnetic White Dwarfs

Abstract

Recently, several white dwarfs with very strong surface magnetic fields have been observed. In this paper we explore the possibility that such stars could have sufficiently strong internal fields to alter their structure. We obtain a revised white dwarf mass-radius relation in the presence of strong internal magnetic fields. We first derive the equation of state for a fully degenerate ideal electron gas in a magnetic field using an Euler-MacLaurin expansion. We use this to obtain the mass-radius relation for magnetic ${}^4$He, ${}^{12}$C, and ${}^{56}$Fe white dwarfs of uniform composition.

7 pages, 7 figures and 1 table, To appear in ApJ

Cited by in corpus (40)

• Newtonian polytropes for anisotropic matter: General framework and applications
• Strongly magnetized cold electron degenerate gas: Mass-radius relation of the magnetized white dwarf
• Cold ideal equation of state for strongly magnetized neutron-star matter: effects on muon production and pion condensationn
• The spectrum of the recycled PSR J0437-4715 and its white dwarf companion
• New Evidence for Efficient Collisionless Heating of Electrons at the Reverse Shock of a Young Supernova Remnant
• Determining the mass of the accreting white dwarf in magnetic CVs using data
• Study of the neutron star structure in strong magnetic fields including the anomalous magnetic moments
• Effects of strong magnetic fields and rotation on white dwarf structure
• Detecting bio-markers in habitable-zone earths transiting white dwarfs
• Stability of super-Chandrasekhar magnetic white dwarfs
• Stellar Structure and Evolution: Deductions from Hipparcos
• Pulsar kicks by anisotropic neutrino emission from quark matter in strong magnetic fields
• Dynamical instability of white dwarfs and breaking of spherical symmetry under the presence of extreme magnetic fields
• Analysis of White Dwarfs with Strange-Matter Cores
• Mass of highly magnetized white dwarfs exceeding the Chandrasekhar limit: An analytical view
• Spitzer Space Telescope observations of magnetic cataclysmic variables: possibilities for the presence of dust in polars
• Mass-radius relation of strongly magnetized white dwarfs: nearly independent of Landau quantization
• On the maximum mass of magnetised white dwarfs
• Neutron star composition in strong magnetic fields
• Quantum instability of magnetized stellar objects
• Nova M31N 2007-12b: Supersoft X-rays reveal an intermediate polar?
• Maximum mass of magnetic white dwarfs
• Consequence of total lepton number violation in strongly magnetized iron white dwarfs
• Field-Induced Degeneracy Regimes in Quantum Plasmas
• Praesepe white dwarfs in Gaia DR2
• The influence of asymmetry on a magnetized proto-neutron star
• Landau levels in a gravitational field: The Schwarzschild spacetime case
• The interacting double white dwarf population with LISA; stochastic foreground and resolved sources
• Neutrino Emissivities as a Probe of the Internal Magnetic Fields of White Dwarfs
• Magnetic deformation of the white dwarf surface structure
• Potential for life to exist and be detected on Earth-like planets orbiting white dwarfs
• Discovery of a ~30-Year-Duration Post-Nova Pulsating Supersoft Source in the Large Magellanic Cloud
• Time-Variable Aluminum Absorption in the Polar AR Ursae Majoris, and an Updated Estimate for the Mass of the White Dwarf
• Spin-1/2 particles under the influence of a uniform magnetic field in the interior Schwarzschild solution
• Electrons as quasi-bosons in magnetic white dwarfs
• The theoretical model of a magnetic white dwarf
• Simultaneous UBVRI observations of the cataclysmic variable AE Aquarii: temperature and mass of fireballs
• Exact Nonlinear Excitations in Double-Degenerate Plasmas
• A white dwarf-neutron star relativistic binary model for soft gamma-ray repeaters
• Magnetized White Dwarfs