Modeling anisotropic magnetized White Dwarfs with $\gamma$ metric

Abstract

The effect of magnetic fields in the Equations of State (EoS) of compact objects is the splitting of the pressure in two components, one parallel and the other perpendicular to the magnetic field. This anisotropy suggests the necessity of using structure equations considering the axial symmetry of the magnetized system. In this work, we consider an axially symmetric metric in spherical coordinates, the $\gamma$-metric, and construct a system of equations to describe the structure of spheroidal compact objects. In addition, we connect the geometrical parameter $\gamma$ linked to the spheroid's radii, with the source of the anisotropy. So, the model relates the shape of the compact object to the physics that determines the properties of the composing matter. To illustrate how our structure equations work, we obtain the mass-radii solutions for magnetized White Dwarfs. Our results show that the main effect of the magnetic field anisotropy in White Dwarfs structure is to cause a deformation of these objects. Since this effect is only relevant at low densities, it does not affect the maximum values of magnetized White Dwarf's masses, which remain under Chandrasekhar limit.

9 pages, 7 figures, re-written version submitted for publication in Phys. Rev. D

References in corpus (9)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Magnetic White Dwarfs
• New mass limit for white dwarfs: super-Chandrasekhar type Ia supernova as a new standard candle
• Quantum Magnetic Collapse
• Anisotropic relativistic stellar models
• (In-)Significance of the Anomalous Magnetic Moment of Charged Fermions for the Equation of State of a Magnetized and Dense Medium
• The Levi-Civita spacetime as a limiting case of the Gamma spacetime
• Static solutions of Einstein's equations with cylindrical symmetry
• Maximum mass of magnetic white dwarfs

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• Termodinámica de un gas magnetizado de bosones vectoriales neutros