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Recent literature has seen an ongoing discussion on the limiting mass ofstrongly magnetized white dwarfs, since such objects may prove to be a sourceof over-luminous type-Ia supernovae. In an earlier paper, we have presented themass-radius relation of white dwarfs with a strong poloidal magnetic field inNewtonian gravity. The inclusion of effects such as general relativisticgravity and many-body corrections to the equation of state can alter themass-radius relation and the maximum mass. In this work we estimate the extentto which these effects may modify the earlier results. We find that the generalrelativistic effects tend to reduce the maximum mass by about 2% and many-bodycorrections by another additional $\sim$2%, for an assumed carbon composition.We also explore field geometries that are purely toroidal or a mixture ofpoloidal and toroidal and find that the limiting mass of such equilibriumconfigurations can be substantially higher than in the case of a purelypoloidal field.

Mass-Radius Relation of Strongly Magnetized White Dwarfs: Dependence on Field Geometry, GR effects and Electrostatic Corrections to the EOS