Abstract
AbstractWe study the anisotropic equation of state (EoS) in both strong and weak magnetic field approximations, taking into account the statistical, vacuum, and Maxwell contributions. In the strong field regime, we perform a polytropic parametrization to the anisotropic EoS, showing that the polytropic index Γ remains close to 4/3 and never reaches the value Γ = 2. We solve the Tolman‐Oppenheimer‐Volkoff (TOV) equations with anisotropic pressures, discarding the super‐Chandrasekhar masses for magnetized white dwarfs (WD). Also, we find the solutions of the anisotropic structure equations (considering cylindrical metric), which allows us to confirm the same bound of B ∼ 1013 G from scalar virial theorem, since beyond this value there are no physical solutions. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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