Landau quantization and mass-radius relation of magnetized White Dwarfs in general relativity

TL;DR

This paper investigates how strong magnetic fields, through Landau quantization, influence the structure and stability of White Dwarfs, potentially explaining super-Chandrasekhar masses observed in some cases.

Contribution

It develops a relativistic equation of state incorporating Landau quantization and magnetic effects, and derives mass-radius relations for magnetized White Dwarfs in general relativity.

Findings

Magnetic fields significantly alter White Dwarf mass-radius relations.

Magnetic energy density and pressure affect stability configurations.

Possible explanation for super-Chandrasekhar White Dwarfs.

Abstract

Recently, several white dwarfs have been proposed with masses significantly above the Chandrasekhar limit, known as Super-Chandrasekhar White Dwarfs, to account for the overluminous Type Ia supernovae. In the present work, Equation of State of a completely degenerate relativistic electron gas in magnetic field based on Landau quantization of charged particles in a magnetic field is developed. The mass-radius relations for magnetized White Dwarfs are obtained by solving the Tolman-Oppenheimer-Volkoff equations. The effects of the magnetic energy density and pressure contributed by a density-dependent magnetic field are treated properly to find the stability configurations of realistic magnetic White Dwarf stars.