  We study the impact of the chameleon mechanism on the structure of white
dwarfs. Using a shooting method of our design, we solve the corresponding
scalar-tensor equilibrium equations for a Chandrasekhar equation of state,
exploring various energy scales and couplings of the chameleon field to matter.
We find the chameleon field to be in a thick-shell configuration, identifying
for the first time in the literature a similarity relation for the radially
normalised scalar field gradient. Our analysis reveals that the chameleon
mechanism significantly alters the internal pressure of white dwarfs, leading
to a notable reduction in the stellar radii and masses and shifting the
mass-radius curves below those predicted by Newtonian gravity. Finally, we
derive parametric expressions from our results to expedite future analyses of
white dwarfs in scalar-tensor theories.
