  Ever since the observation of peculiar over-luminous type Ia supernovae
(SNeIa), exploring possible violations of the canonical Chandrasekhar
mass-limit (CML) has become a pressing research area of modern astrophysics.
Since its first detection in 2003, more than a dozen of peculiar over-luminous
SNeIa has been detected, but the true nature of the underlying progenitors is
still under dispute. Furthermore, there are also under-luminous SNeIa whose
progenitor masses appear to be well below the CML (sub-Chandrasekhar
progenitors). These observations call into question how sacrosanct the CML is.
We have shown recently in Paper I that the presence of a strong magnetic field,
the anisotropy of dense matter, as well as the orientation of the magnetic
field itself significantly influence the properties of neutron and quark stars.
Here, we study these effects for white dwarfs, which shows that their
properties are also severely impacted. Most importantly, we arrive at a variety
of mass-radius relations of white dwarfs which accommodate sub- to
super-Chandrasekhar mass limits. This urges caution when using white dwarfs
associated with SNeIa as standard candles.
