In the present work, the effect of rotation and fi-
nite Larmor radius (FLR) correction of ions on gravitational
instability in the context of anisotropic white dwarf situation
is investigated. The propagation dynamics of the various
modes has been discussed using general dispersion relation
which is obtained by quantum magnetohydrodynamic and
Chew-Goldberger-Low (CGL) set of equations. The prop-
erties of dispersion relation are discussed for four different
cases. The Alfven mode is modified with rotation and FLR
correction while the gravitational mode remains unaffected
by both the parameter for the case when rotation and wave
vector both are parallel to magnetic field. Moreover, rotation
(when longitudinal to magnetic field) becomes effective on
gravitational mode in the perpendicular direction of prop-
agation, as it modifies the condition of gravitational insta-
bility. The obtained analytical results are also discussed nu-
merically. The implication of the present work is described
for dense white dwarfs where the electrons are in a degen-
erate state with a strong magnetic field. The estimated value
of Jeans length and Jeans mass are L J 1 = 5.5 × 10 7 m and
M J 1 = 3.5 M  respectively for rotating anisotropic plasma
which corresponds to super Chandrashekhar white dwarfs
while for non-rotating degenerate magnetized plasma, the
Jeans length is L  J 1 = 4.7 × 10 7 m and Jeans mass is M J  1 =
2.1 M  . The presence of rotation effectively increases the
critical mass of white dwarf.

EB00000003932K

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• Effect of rotation on structure formation of degenerate anisotropic white dwarfs